baldassarri baronchelli barrat caglioti castellano cattuto complexity dattoli evolutionary_dynamics granular_media granular_media herrmann information_theory innovation_dynamics kreyon language_dynamics loreto mari mukherjee petri pietronero puglisi quantum_optics self_organization servedio statistical_physics techno_social_systems tria zapperi zippers
2008 |
Loreto, Vittorio; Pietronero, Luciano; Zapperi, Stefano Editorial Journal Article THE EUROPEAN PHYSICAL JOURNAL. B, CONDENSED MATTER PHYSICS, 64(3-4) , pp. 301–305, 2008. Links | BibTeX | Tags: loreto, pietronero, statistical_physics, zapperi @article{b, title = {Editorial}, author = {Vittorio Loreto and Luciano Pietronero and Stefano Zapperi}, url = {http://link.springer.com/content/pdf/10.1140%2Fepjb%2Fe2008-00319-2.pdf http://www.scopus.com/inward/record.url?eid=2-s2.0-53149153877&partnerID=65&md5=2e0f94184809a0100dc4f96bc3781099 http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=000259677600001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=0c7ff228ccbaaa74236f48834a34396a}, year = {2008}, date = {2008-01-01}, journal = {THE EUROPEAN PHYSICAL JOURNAL. B, CONDENSED MATTER PHYSICS}, volume = {64(3-4)}, pages = {301--305}, keywords = {loreto, pietronero, statistical_physics, zapperi}, pubstate = {published}, tppubtype = {article} } |
Petri, Alberto; Berganza, Miguel Ibagnez De; Loreto, Vittorio Ordering dynamics in the presence of multiple phases Journal Article PHILOSOPHICAL MAGAZINE, 88 , pp. 3931–3938, 2008. Links | BibTeX | Tags: ibanez, loreto, petri, statistical_physics @article{b, title = {Ordering dynamics in the presence of multiple phases}, author = {Alberto Petri and Miguel Ibagnez De Berganza and Vittorio Loreto}, url = {http://www.scopus.com/inward/record.url?eid=2-s2.0-58049188531&partnerID=65&md5=d7eaf074195387c3718086ed333c5a16 http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=000261804100008&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=0c7ff228ccbaaa74236f48834a34396a}, year = {2008}, date = {2008-01-01}, journal = {PHILOSOPHICAL MAGAZINE}, volume = {88}, pages = {3931--3938}, publisher = {Taylor & Francis Limited:Rankine Road, Basingstoke RG24 8PR United Kingdom:011 44 1256 813035, EMAIL: madeline.sims@tandf.co.uk, info@tandf.co.uk, INTERNET: http://www.tandf.co.uk, Fax: 011 44 1256 330245}, keywords = {ibanez, loreto, petri, statistical_physics}, pubstate = {published}, tppubtype = {article} } |
Toris, Patrizia; Rubeis, Valerio De; Loreto, Vittorio; Pietronero, Luciano Space-time correlations of earthquakes Journal Article GEOPHYSICAL JOURNAL INTERNATIONAL, 173(3) , pp. 932–941, 2008. Abstract | Links | BibTeX | Tags: clustering, correlation, derubeis, loreto, memory, persistence, pietronero, statistical seismology, statistical_physics, tosi @article{b, title = {Space-time correlations of earthquakes}, author = {Patrizia Toris and Valerio De Rubeis and Vittorio Loreto and Luciano Pietronero}, url = {http://gji.oxfordjournals.org/content/173/3/932, http://www.scopus.com/inward/record.url?eid=2-s2.0-43449129493&partnerID=65&md5=781012778cff79bd9d3baf409098ca71 http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=000255708100014&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=0c7ff228ccbaaa74236f48834a34396a}, year = {2008}, date = {2008-01-01}, journal = {GEOPHYSICAL JOURNAL INTERNATIONAL}, volume = {173(3)}, pages = {932--941}, publisher = {Blackwell Science Limited:PO Box 88, Oxford OX2 0NE United Kingdom:011 44 1865 776868, 011 44 1865 206038, EMAIL: journals.cs@blacksci.co.uk, INTERNET: http://www.blackwell-science.com, Fax: 011 44 1865 721205}, abstract = {Seismicity is a complex process featuring non-trivial space-time correlations in which several forms of scale invariance have been identified. A frequently used method to detect scale-invariant features is the correlation integral, which leads to the definition of a correlation dimension separately in space and time. In this paper, we generalize this method with the definition of a space-time combined correlation integral. This approach allows us to analyse medium-strong seismicity as a point process, without any distinction among main, after or background shocks. The analyses performed on the catalogue of worldwide seismicity and the corresponding reshuffled version strongly suggest that earthquakes of medium-large magnitude are time clustered inside specific space-time regions. On the basis of this feature, we recognize a space-time domain statistically characterized by sequences' behaviour and a domain of temporal randomness. Then, focusing on the spatial distribution of hypocentres, we find another domain confined to short distances and characterized by a relatively high degree of spatial correlation. This spatial domain slowly increases with time: we interpret this as the 'afterevent' zone representing the set of all subsequent events located very near (about 30 km) to each reference earthquake and embedded on specific seismogenic structures such as faults planes.}, keywords = {clustering, correlation, derubeis, loreto, memory, persistence, pietronero, statistical seismology, statistical_physics, tosi}, pubstate = {published}, tppubtype = {article} } Seismicity is a complex process featuring non-trivial space-time correlations in which several forms of scale invariance have been identified. A frequently used method to detect scale-invariant features is the correlation integral, which leads to the definition of a correlation dimension separately in space and time. In this paper, we generalize this method with the definition of a space-time combined correlation integral. This approach allows us to analyse medium-strong seismicity as a point process, without any distinction among main, after or background shocks. The analyses performed on the catalogue of worldwide seismicity and the corresponding reshuffled version strongly suggest that earthquakes of medium-large magnitude are time clustered inside specific space-time regions. On the basis of this feature, we recognize a space-time domain statistically characterized by sequences' behaviour and a domain of temporal randomness. Then, focusing on the spatial distribution of hypocentres, we find another domain confined to short distances and characterized by a relatively high degree of spatial correlation. This spatial domain slowly increases with time: we interpret this as the 'afterevent' zone representing the set of all subsequent events located very near (about 30 km) to each reference earthquake and embedded on specific seismogenic structures such as faults planes. |
2007 |
Berganza, Miguel Ibanez De; Loreto, Vittorio; Petri, Alberto Dinamic metastability in the two-dimensional Potts model Journal Article arXiv/0706.3534 , pp. 1–7, 2007. BibTeX | Tags: ibanez, loreto, petri, statistical_physics @article{b, title = {Dinamic metastability in the two-dimensional Potts model}, author = {Miguel Ibanez De Berganza and Vittorio Loreto and Alberto Petri}, year = {2007}, date = {2007-01-01}, volume = {arXiv/0706.3534}, pages = {1--7}, publisher = {arXiv (United States)}, keywords = {ibanez, loreto, petri, statistical_physics}, pubstate = {published}, tppubtype = {article} } |
Berganza, Miguel Ibanez De; Loreto, Vittorio; Petri, Alberto Phase ordering and symmetries of the Potts model Journal Article PHILOSOPHICAL MAGAZINE, 87 , pp. 779–786, 2007. Links | BibTeX | Tags: ibanez, loreto, petri, statistical_physics @article{b, title = {Phase ordering and symmetries of the Potts model}, author = {Miguel Ibanez De Berganza and Vittorio Loreto and Alberto Petri}, url = {http://www.scopus.com/inward/record.url?eid=2-s2.0-33847096319&partnerID=65&md5=959ab3c3ff23950fcebf747fd38acaee http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=000244150900050&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=0c7ff228ccbaaa74236f48834a34396a}, year = {2007}, date = {2007-01-01}, journal = {PHILOSOPHICAL MAGAZINE}, volume = {87}, pages = {779--786}, publisher = {Taylor & Francis Limited:Rankine Road, Basingstoke RG24 8PR United Kingdom:011 44 1256 813035, EMAIL: madeline.sims@tandf.co.uk, info@tandf.co.uk, INTERNET: http://www.tandf.co.uk, Fax: 011 44 1256 330245}, keywords = {ibanez, loreto, petri, statistical_physics}, pubstate = {published}, tppubtype = {article} } |
Berganza, Miguel Ibanez De; Ferrero, Ezequiel E; Cannas, Sergio; Loreto, Vittorio; Petri, Alberto Phase separation of the Potts model in the square lattice Journal Article THE EUROPEAN PHYSICAL JOURNAL. SPECIAL TOPICS, 143 , pp. 273–275, 2007. Links | BibTeX | Tags: ibanez, loreto, petri, statistical_physics @article{b, title = {Phase separation of the Potts model in the square lattice}, author = {Miguel Ibanez De Berganza and Ezequiel E. Ferrero and Sergio Cannas and Vittorio Loreto and Alberto Petri}, url = {http://www.scopus.com/inward/record.url?eid=2-s2.0-34249051014&partnerID=65&md5=5e27afa20cc7096a910b74547cb0b2d9 http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=000246985800041&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=0c7ff228ccbaaa74236f48834a34396a}, year = {2007}, date = {2007-01-01}, journal = {THE EUROPEAN PHYSICAL JOURNAL. SPECIAL TOPICS}, volume = {143}, pages = {273--275}, publisher = {EDP Sciences, Società Italiana di Fisica and Springer Berlin Heidelberg.}, keywords = {ibanez, loreto, petri, statistical_physics}, pubstate = {published}, tppubtype = {article} } |
2006 |
Taloni, Alessandro; Cagliori, Emanuele; Loreto, Vittorio; Pietronero, Luciano Conformal approach to cylindrical DLA Journal Article JOURNAL OF STATISTICAL MECHANICS: THEORY AND EXPERIMENT, Art. n. P09004 , 2006. Abstract | Links | BibTeX | Tags: caglioti, DLA, fractals, loreto, pietronero, self_organization, statistical_physics, taloni @article{b, title = {Conformal approach to cylindrical DLA}, author = {Alessandro Taloni and Emanuele Cagliori and Vittorio Loreto and Luciano Pietronero}, url = {http://www.scopus.com/inward/record.url?eid=2-s2.0-37649026579&partnerID=65&md5=18e07a1e17966902ff4a2c6e9b9dadfc http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=000241413300004&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=0c7ff228ccbaaa74236f48834a34396a}, year = {2006}, date = {2006-01-01}, journal = {JOURNAL OF STATISTICAL MECHANICS: THEORY AND EXPERIMENT}, volume = {Art. n. P09004}, abstract = {We extend the conformal mapping approach elaborated for the radial diffusion limited aggregation model (DLA) to cylindrical geometry. We introduce in particular a complex function which allows a cylindrical cluster to be grown using as an intermediate step a radial aggregate. The aggregate grown exhibits the same self-affine features as the original cylindrical DLA. The specific choice of the transformation allows us to study the relationship between the radial and the cylindrical geometry. In particular the cylindrical aggregate can be seen as a radial aggregate with particles of size increasing with the radius. On the other hand, the radial aggregate can be seen as a cylindrical aggregate with particles of size decreasing with the height. This framework, which shifts the point of view from the geometry to the size of the particles, can open the way to more quantitative studies on the relationship between radial and cylindrical DLA.}, keywords = {caglioti, DLA, fractals, loreto, pietronero, self_organization, statistical_physics, taloni}, pubstate = {published}, tppubtype = {article} } We extend the conformal mapping approach elaborated for the radial diffusion limited aggregation model (DLA) to cylindrical geometry. We introduce in particular a complex function which allows a cylindrical cluster to be grown using as an intermediate step a radial aggregate. The aggregate grown exhibits the same self-affine features as the original cylindrical DLA. The specific choice of the transformation allows us to study the relationship between the radial and the cylindrical geometry. In particular the cylindrical aggregate can be seen as a radial aggregate with particles of size increasing with the radius. On the other hand, the radial aggregate can be seen as a cylindrical aggregate with particles of size decreasing with the height. This framework, which shifts the point of view from the geometry to the size of the particles, can open the way to more quantitative studies on the relationship between radial and cylindrical DLA. |
2005 |
Castellano, Claudio; Loreto, Vittorio; Barrat, Alain; Cecconi, Federico; Parisi, Domenico Comparison of voter and Glauber ordering dynamics on networks Journal Article PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS, 71 , pp. 066107–066114, 2005. Links | BibTeX | Tags: barrat, castellano, cecconi, loreto, opinion_dynamics, parisi, social_dynamics, statistical_physics @article{b, title = {Comparison of voter and Glauber ordering dynamics on networks}, author = {Claudio Castellano and Vittorio Loreto and Alain Barrat and Federico Cecconi and Domenico Parisi}, url = {http://www.scopus.com/inward/record.url?eid=2-s2.0-27944464161&partnerID=65&md5=e33dbf7e41cab953b8225aab3fc4c019 http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=000230275000023&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=0c7ff228ccbaaa74236f48834a34396a}, year = {2005}, date = {2005-01-01}, journal = {PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS}, volume = {71}, pages = {066107--066114}, publisher = {AMERICAN PHYSICAL SOC, ONE PHYSICS ELLIPSE, COLLEGE PK, USA, MD, 20740-3844}, keywords = {barrat, castellano, cecconi, loreto, opinion_dynamics, parisi, social_dynamics, statistical_physics}, pubstate = {published}, tppubtype = {article} } |
Mayor, Patrick; D'Anna, Gianfranco; Barrat, Alain; Loreto, Vittorio Observing Brownian motion and measuring temperatures in vibration-fluidized granular matter Journal Article NEW JOURNAL OF PHYSICS, 7 , pp. 28:1–28:16, 2005. Links | BibTeX | Tags: barrat, d'anna, granular_media, loreto, mayor, statistical_physics @article{b, title = {Observing Brownian motion and measuring temperatures in vibration-fluidized granular matter}, author = {Patrick Mayor and Gianfranco D'Anna and Alain Barrat and Vittorio Loreto}, url = {http://www.scopus.com/inward/record.url?eid=2-s2.0-23244463214&partnerID=65&md5=ab647ce5c19f3b37e1fc3bb3db281654 http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=000226678500009&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=0c7ff228ccbaaa74236f48834a34396a}, year = {2005}, date = {2005-01-01}, journal = {NEW JOURNAL OF PHYSICS}, volume = {7}, pages = {28:1--28:16}, publisher = {Institute of Physics Publishing, IOP PUBLISHING LTD, DIRAC HOUSE, TEMPLE BACK, BRISTOL, ENGLAND, BS1 6BE}, keywords = {barrat, d'anna, granular_media, loreto, mayor, statistical_physics}, pubstate = {published}, tppubtype = {article} } |
Baldassarri, Andrea; Barrat, Alain; D'Anna, Gianfranco; Loreto, Vittorio; Mayor, Patrick; Puglisi, Andrea What is the temperature of a granular medium? Journal Article JOURNAL OF PHYSICS. CONDENSED MATTER, 24 , pp. S2405–S2428, 2005. Links | BibTeX | Tags: baldassarri, barrat, d'anna, granular_media, loreto, mayor, puglisi, statistical_physics @article{b, title = {What is the temperature of a granular medium?}, author = {Andrea Baldassarri and Alain Barrat and Gianfranco D'Anna and Vittorio Loreto and Patrick Mayor and Andrea Puglisi}, url = {http://www.scopus.com/inward/record.url?eid=2-s2.0-21044433896&partnerID=65&md5=4b3ab620fa27fd3f11495949b3b9091f http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=000230654100004&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=0c7ff228ccbaaa74236f48834a34396a}, year = {2005}, date = {2005-01-01}, journal = {JOURNAL OF PHYSICS. CONDENSED MATTER}, volume = {24}, pages = {S2405--S2428}, publisher = {IOP Publishing Limited:Dirac House, Temple Back, Bristol BS1 6BE United Kingdom:011 44 117 9297481, EMAIL: custserv@iop.org, INTERNET: http://www.iop.org, Fax: 011 44 117 9294318}, keywords = {baldassarri, barrat, d'anna, granular_media, loreto, mayor, puglisi, statistical_physics}, pubstate = {published}, tppubtype = {article} } |
2004 |
Tosi, Patrizia; Rubeis, Valerio De; Loreto, Vittorio; Pietronero, Luciano Space-time combined correlation integral and earthquake interactions Journal Article ANNALS OF GEOPHYSICS, 47(6) , pp. 1849–1854,tosi,derubeis, 2004. Abstract | Links | BibTeX | Tags: clustering, loreto, pietronero, seismicity, statistical_physics @article{b, title = {Space-time combined correlation integral and earthquake interactions}, author = {Patrizia Tosi and Valerio De Rubeis and Vittorio Loreto and Luciano Pietronero}, url = {http://www.annalsofgeophysics.eu/index.php/annals/article/view/4404 http://apps.webofknowledge.com/full_record.do?product=WOS&search_mode=GeneralSearch&qid=2&SID=Z16dIAaDdB7I@I66cOJ&page=1&doc=1}, year = {2004}, date = {2004-01-01}, journal = {ANNALS OF GEOPHYSICS}, volume = {47(6)}, pages = {1849--1854,tosi,derubeis}, publisher = {EDITRICE COMPOSITORI BOLOGNA}, abstract = {Scale invariant properties of seismicity argue for the presence of complex triggering mechanisms. We propose a new method, based on the space-time combined generalization of the correlation integral, that leads to a self-consistent visualization and analysis of both spatial and temporal correlations. The analysis has been applied on global medium-high seismicity. Results show that earthquakes do interact even on long distances and are correlated in time within defined spatial ranges varying over elapsed time. On that base we redefine the aftershock concept.}, keywords = {clustering, loreto, pietronero, seismicity, statistical_physics}, pubstate = {published}, tppubtype = {article} } Scale invariant properties of seismicity argue for the presence of complex triggering mechanisms. We propose a new method, based on the space-time combined generalization of the correlation integral, that leads to a self-consistent visualization and analysis of both spatial and temporal correlations. The analysis has been applied on global medium-high seismicity. Results show that earthquakes do interact even on long distances and are correlated in time within defined spatial ranges varying over elapsed time. On that base we redefine the aftershock concept. |
Barrat, Alain; Loreto, Vittorio; Puglisi, Andrea Temperature probes in binary granular gases Journal Article PHYSICA. A, 334 , pp. 513–523, 2004. Links | BibTeX | Tags: barrat, granular_media, loreto, puglisi, statistical_physics @article{b, title = {Temperature probes in binary granular gases}, author = {Alain Barrat and Vittorio Loreto and Andrea Puglisi}, url = {http://www.scopus.com/inward/record.url?eid=2-s2.0-0742302968&partnerID=65&md5=91a8148f692e6e78831319a3bc079a18 http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=000189094800012&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=0c7ff228ccbaaa74236f48834a34396a}, year = {2004}, date = {2004-01-01}, journal = {PHYSICA. A}, volume = {334}, pages = {513--523}, publisher = {Elsevier, Amsterdam}, keywords = {barrat, granular_media, loreto, puglisi, statistical_physics}, pubstate = {published}, tppubtype = {article} } |
2003 |
D'Anna, Gianfranco; gremaud, Gerard; Mayor, Patrick; Barrat, Alain; Loreto, Vittorio Extreme events driven glassy behaviour in granular media Journal Article EUROPHYSICS LETTERS, 61 , pp. 60–66, 2003. Links | BibTeX | Tags: barrat, d'anna, granular_media, gremaud, loreto, mayor, statistical_physics @article{b, title = {Extreme events driven glassy behaviour in granular media}, author = {Gianfranco D'Anna and Gerard gremaud and Patrick Mayor and Alain Barrat and Vittorio Loreto}, url = {http://www.scopus.com/inward/record.url?eid=2-s2.0-0037269957&partnerID=65&md5=fa891a18414a664e1c7a54fe19c4c039 http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=000180069400010&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=0c7ff228ccbaaa74236f48834a34396a}, year = {2003}, date = {2003-01-01}, journal = {EUROPHYSICS LETTERS}, volume = {61}, pages = {60--66}, publisher = {EDP Sciences}, keywords = {barrat, d'anna, granular_media, gremaud, loreto, mayor, statistical_physics}, pubstate = {published}, tppubtype = {article} } |
D'Anna, Gianfranco; Mayor, Patrick; Barrat, Alain; Loreto, Vittorio; Nori, Franco Observing Brownian motion in vibro-fluidized granular matter Journal Article NATURE, 424 , pp. 909–912, 2003. Links | BibTeX | Tags: barrat, d'anna, granular_media, loreto, nori, statistical_physics @article{b, title = {Observing Brownian motion in vibro-fluidized granular matter}, author = {Gianfranco D'Anna and Patrick Mayor and Alain Barrat and Vittorio Loreto and Franco Nori}, url = {http://www.scopus.com/inward/record.url?eid=2-s2.0-0041357220&partnerID=65&md5=4b4fde95edc325d86296ff0e2eca3c37 http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=000184843600032&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=0c7ff228ccbaaa74236f48834a34396a}, year = {2003}, date = {2003-01-01}, journal = {NATURE}, volume = {424}, pages = {909--912}, keywords = {barrat, d'anna, granular_media, loreto, nori, statistical_physics}, pubstate = {published}, tppubtype = {article} } |
2002 |
Colizza, Vittoria; Barrat, Alain; Loreto, Vittorio Definition of temperature in dense granular media Journal Article PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS, 65 , pp. 050301:1–050301:4, 2002. Links | BibTeX | Tags: barrat, colizza, granular_media, loreto, statistical_physics @article{b, title = {Definition of temperature in dense granular media}, author = {Vittoria Colizza and Alain Barrat and Vittorio Loreto}, url = {http://www.scopus.com/inward/record.url?eid=2-s2.0-41349109488&partnerID=65&md5=31c5f637c6990f2c51f30b2666291a6b http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=000176552300002&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=0c7ff228ccbaaa74236f48834a34396a}, year = {2002}, date = {2002-01-01}, journal = {PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS}, volume = {65}, pages = {050301:1--050301:4}, publisher = {AMERICAN PHYSICAL SOC}, keywords = {barrat, colizza, granular_media, loreto, statistical_physics}, pubstate = {published}, tppubtype = {article} } |
Puglisi, Andrea; Baldassarri, Andrea; Loreto, Vittorio Fluctuation-Dissipation relations in 2D Driven Granular Gases Journal Article PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS, 66 , pp. 061305:1–061305:8, 2002. Links | BibTeX | Tags: baldassarri, granular_media, loreto, puglisi, statistical_physics @article{b, title = {Fluctuation-Dissipation relations in 2D Driven Granular Gases}, author = {Andrea Puglisi and Andrea Baldassarri and Vittorio Loreto}, url = {http://www.scopus.com/inward/record.url?eid=2-s2.0-34547237074&partnerID=65&md5=98ff5fc1205383f3a344050ff9af3f06, http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=000180427000022&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=0c7ff228ccbaaa74236f48834a34396a}, year = {2002}, date = {2002-01-01}, journal = {PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS}, volume = {66}, pages = {061305:1--061305:8}, publisher = {AMERICAN PHYSICAL SOC}, keywords = {baldassarri, granular_media, loreto, puglisi, statistical_physics}, pubstate = {published}, tppubtype = {article} } |
Ciliberti, Sergio; Caldarelli, Guido; Loreto, Vittorio; Pietronero, Luciano Local Rigidity in sandpile models Journal Article PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS, 66 , pp. 016133:1–016133:7, 2002. Links | BibTeX | Tags: caldarelli, ciliberti, DLA, loreto, pietronero, self_organization, statistical_physics @article{b, title = {Local Rigidity in sandpile models}, author = {Sergio Ciliberti and Guido Caldarelli and Vittorio Loreto and Luciano Pietronero}, url = {http://www.scopus.com/inward/record.url?eid=2-s2.0-41349104849&partnerID=65&md5=aacf73720b482187890036fa4974915f http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=000177200600046&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=0c7ff228ccbaaa74236f48834a34396a}, year = {2002}, date = {2002-01-01}, journal = {PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS}, volume = {66}, pages = {016133:1--016133:7}, keywords = {caldarelli, ciliberti, DLA, loreto, pietronero, self_organization, statistical_physics}, pubstate = {published}, tppubtype = {article} } |
2001 |
Baldassarri, Andrea; Khrishnamurthy, Supriya; Loreto, Vittorio; Roux, Stephane Coarsening and Slow Dynamics in Granular Compaction Journal Article PHYSICAL REVIEW LETTERS, 87 , pp. 224301:1–224301:4, 2001. BibTeX | Tags: baldassarri, granular_media, khrishnamurthy, loreto, roux, statistical_physics @article{b, title = {Coarsening and Slow Dynamics in Granular Compaction}, author = {Andrea Baldassarri and Supriya Khrishnamurthy and Vittorio Loreto and Stephane Roux}, year = {2001}, date = {2001-01-01}, journal = {PHYSICAL REVIEW LETTERS}, volume = {87}, pages = {224301:1--224301:4}, publisher = {American Institute of Physics}, keywords = {baldassarri, granular_media, khrishnamurthy, loreto, roux, statistical_physics}, pubstate = {published}, tppubtype = {article} } |
Barrat, Alain; Kurchan, Jorge; Loreto, Vittorio; Sellitto, Mauro Edwards' measures: a thermodynamic construction for dense granular media and glasses Journal Article PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS, 63 , pp. 051301:1–051301:14, 2001. Links | BibTeX | Tags: barrat, granular_media, kurchan, loreto, sellitto, statistical_physics @article{b, title = {Edwards' measures: a thermodynamic construction for dense granular media and glasses}, author = {Alain Barrat and Jorge Kurchan and Vittorio Loreto and Mauro Sellitto}, url = {http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=000168730700019&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=0c7ff228ccbaaa74236f48834a34396a}, year = {2001}, date = {2001-01-01}, journal = {PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS}, volume = {63}, pages = {051301:1--051301:14}, publisher = {AMERICAN PHYSICAL SOC}, keywords = {barrat, granular_media, kurchan, loreto, sellitto, statistical_physics}, pubstate = {published}, tppubtype = {article} } |
Barrat, Alain; Loreto, Vittorio Memory in aged granular media Journal Article EUROPHYSICS LETTERS, 53 , pp. 297–303, 2001. Links | BibTeX | Tags: barrat, granular_media, loreto, statistical_physics @article{b, title = {Memory in aged granular media}, author = {Alain Barrat and Vittorio Loreto}, url = {http://www.scopus.com/inward/record.url?eid=2-s2.0-0035242107&partnerID=65&md5=cc56ec2e5a0354c69430882a52bef0a5, http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=000167057200003&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=0c7ff228ccbaaa74236f48834a34396a}, year = {2001}, date = {2001-01-01}, journal = {EUROPHYSICS LETTERS}, volume = {53}, pages = {297--303}, publisher = {EDP Sciences}, keywords = {barrat, granular_media, loreto, statistical_physics}, pubstate = {published}, tppubtype = {article} } |
2000 |
Khrishnamurthy, Supriya; Loreto, Vittorio; Roux, Stephane Bubbling and large-scale structures in avalanche dynamics Journal Article PHYSICAL REVIEW LETTERS, 84 , pp. 1039–1039, 2000. Links | BibTeX | Tags: granular_media, khrishnamurthy, loreto, roux, statistical_physics @article{b, title = {Bubbling and large-scale structures in avalanche dynamics}, author = {Supriya Khrishnamurthy and Vittorio Loreto and Stephane Roux}, url = {http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=000085005700061&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=0c7ff228ccbaaa74236f48834a34396a}, year = {2000}, date = {2000-01-01}, journal = {PHYSICAL REVIEW LETTERS}, volume = {84}, pages = {1039--1039}, publisher = {American Institute of Physics}, keywords = {granular_media, khrishnamurthy, loreto, roux, statistical_physics}, pubstate = {published}, tppubtype = {article} } |
Piccioni, Marina; Loreto, Vittorio; Roux, Stephane Criticality of the ``critical state'' of granular media: Dilatancy angle in the Tetris model Journal Article PHYSICAL REVIEW E, 61 , pp. 2813–2813, 2000. Links | BibTeX | Tags: granular_media, loreto, piccioni, roux, statistical_physics @article{b, title = {Criticality of the ``critical state'' of granular media: Dilatancy angle in the Tetris model}, author = {Marina Piccioni and Vittorio Loreto and Stephane Roux}, url = {http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=000085994000088&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=0c7ff228ccbaaa74236f48834a34396a}, year = {2000}, date = {2000-01-01}, journal = {PHYSICAL REVIEW E}, volume = {61}, pages = {2813--2813}, publisher = {American Institute of Physics}, keywords = {granular_media, loreto, piccioni, roux, statistical_physics}, pubstate = {published}, tppubtype = {article} } |
Barrat, Alain; Kurchan, Jorge; Loreto, Vittorio; Sellitto, Mauro Edwards' Measures for Powders and Glasses Journal Article PHYSICAL REVIEW LETTERS, 85 , pp. 5034–5037, 2000. Links | BibTeX | Tags: barrat, granular_media, kurchan, loreto, sellitto, statistical_physics @article{b, title = {Edwards' Measures for Powders and Glasses}, author = {Alain Barrat and Jorge Kurchan and Vittorio Loreto and Mauro Sellitto}, url = {http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=000165800000006&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=0c7ff228ccbaaa74236f48834a34396a}, year = {2000}, date = {2000-01-01}, journal = {PHYSICAL REVIEW LETTERS}, volume = {85}, pages = {5034--5037}, publisher = {American Institute of Physics}, keywords = {barrat, granular_media, kurchan, loreto, sellitto, statistical_physics}, pubstate = {published}, tppubtype = {article} } |
1998 |
Chierchia, Rosaria; Loreti, Stefano; Loreto, Vittorio; Mariucci, Luigi; Minarini, Carla; Mittiga, Alberto A critical assessment of different models of the metastability in a-Si:H. Journal Article JAPANESE JOURNAL OF APPLIED PHYSICS, 37 , pp. 1736–1746, 1998. Abstract | Links | BibTeX | Tags: chierchia, loreti, loreto, mariucci, minarini, mittiga, statistical_physics @article{b, title = {A critical assessment of different models of the metastability in a-Si:H.}, author = {Rosaria Chierchia and Stefano Loreti and Vittorio Loreto and Luigi Mariucci and Carla Minarini and Alberto Mittiga}, url = {http://jjap.jsap.jp/link?JJAP/37/1736/, http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=000076042900016&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=0c7ff228ccbaaa74236f48834a34396a}, year = {1998}, date = {1998-01-01}, journal = {JAPANESE JOURNAL OF APPLIED PHYSICS}, volume = {37}, pages = {1736--1746}, abstract = {We have studied the light degradation and the thermal annealing of a-Si:H at different light intensities and temperatures monitoring both the defect density and the photoconductivity. This large set of data is used as a benchmark for the models of the metastability in a-Si:H. We show that an entire class of these models (which predict stretched exponential kinetics) is not in good agreement with our data. We discuss the mathematical and physical basis of these models pointing out some weak points that could explain these failures. The data are in better agreement with the “recombination induced bond breaking" models if an accurate description of annealing processes is included. The annealing rate must be computed considering a broad distribution of energy barriers. It must be also taken into account that the energy barrier for the annealing of a metastable defect can be reduced by a monomolecular trapping event at the defect itself. Our calculations show that this reduction amounts to an energy of about half the gap and lasts for a time of the order of 1 ps.}, keywords = {chierchia, loreti, loreto, mariucci, minarini, mittiga, statistical_physics}, pubstate = {published}, tppubtype = {article} } We have studied the light degradation and the thermal annealing of a-Si:H at different light intensities and temperatures monitoring both the defect density and the photoconductivity. This large set of data is used as a benchmark for the models of the metastability in a-Si:H. We show that an entire class of these models (which predict stretched exponential kinetics) is not in good agreement with our data. We discuss the mathematical and physical basis of these models pointing out some weak points that could explain these failures. The data are in better agreement with the “recombination induced bond breaking" models if an accurate description of annealing processes is included. The annealing rate must be computed considering a broad distribution of energy barriers. It must be also taken into account that the energy barrier for the annealing of a metastable defect can be reduced by a monomolecular trapping event at the defect itself. Our calculations show that this reduction amounts to an energy of about half the gap and lasts for a time of the order of 1 ps. |
Loreto, Vittorio; Prosini, Pierpaolo; Cafiero, Raffaele Anisotropy and non-universality in kinetic roughening Journal Article EUROPHYSICS LETTERS, 42 , pp. 389–394, 1998. Abstract | Links | BibTeX | Tags: cafiero, loreto, prosini, statistical_physics @article{b, title = {Anisotropy and non-universality in kinetic roughening}, author = {Vittorio Loreto and Pierpaolo Prosini and Raffaele Cafiero}, url = {http://iopscience.iop.org/0295-5075/42/4/389/fulltext/42407.html, http://www.scopus.com/inward/record.url?eid=2-s2.0-0032523674&partnerID=65&md5=7ee2db2e9fa4b3390e2fa7b3d509cecb, http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=000073734100007&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=0c7ff228ccbaaa74236f48834a34396a}, year = {1998}, date = {1998-01-01}, journal = {EUROPHYSICS LETTERS}, volume = {42}, pages = {389--394}, abstract = {We introduce a new model for kinetic roughening which exhibits a non-universal behavior for the roughness exponent, in agreement with many experimental findings. The model, inspired by the chemical etching processes, takes explicitly into account the effect of anisotropy, say the dependence of the growth rule on the local environment conditions. The interplay between anisotropy and non-universality is investigated as well as the relationship with the known universality classes.}, keywords = {cafiero, loreto, prosini, statistical_physics}, pubstate = {published}, tppubtype = {article} } We introduce a new model for kinetic roughening which exhibits a non-universal behavior for the roughness exponent, in agreement with many experimental findings. The model, inspired by the chemical etching processes, takes explicitly into account the effect of anisotropy, say the dependence of the growth rule on the local environment conditions. The interplay between anisotropy and non-universality is investigated as well as the relationship with the known universality classes. |
1997 |
Vespignani, Alessandro; Zapperi, Stefano; Loreto, Vittorio Dynamically driven renormalization group Journal Article JOURNAL OF STATISTICAL PHYSICS, 88 , pp. 47–79, 1997. Abstract | Links | BibTeX | Tags: DDRG, loreto, self_organization, statistical_physics, vespignani, zapperi @article{b, title = {Dynamically driven renormalization group}, author = {Alessandro Vespignani and Stefano Zapperi and Vittorio Loreto}, url = {http://www.springerlink.com/content/d1215122128712g1/, http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=A1997XT83300003&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=0c7ff228ccbaaa74236f48834a34396a}, year = {1997}, date = {1997-01-01}, journal = {JOURNAL OF STATISTICAL PHYSICS}, volume = {88}, pages = {47--79}, abstract = {We present a detailed discussion of a novel dynamical renormalization group scheme: the dynamically driven renormalization group (DDRG). This is a general renormalization method developed for dynamical systems with non-equilibrium critical steady state. The method is based on a real-space renormalization scheme driven by a dynamical steady-state condition which acts as a feedback on the transformation equations. This approach has been applied to open nonlinear systems such as self-organized critical phenomena, and it allows the analytical evaluation of scalling dimensions and critical exponents. Equilibrium models at the critical point can also be considered. The explicit application to some models and the corresponding results are discussed.}, keywords = {DDRG, loreto, self_organization, statistical_physics, vespignani, zapperi}, pubstate = {published}, tppubtype = {article} } We present a detailed discussion of a novel dynamical renormalization group scheme: the dynamically driven renormalization group (DDRG). This is a general renormalization method developed for dynamical systems with non-equilibrium critical steady state. The method is based on a real-space renormalization scheme driven by a dynamical steady-state condition which acts as a feedback on the transformation equations. This approach has been applied to open nonlinear systems such as self-organized critical phenomena, and it allows the analytical evaluation of scalling dimensions and critical exponents. Equilibrium models at the critical point can also be considered. The explicit application to some models and the corresponding results are discussed. |
Hallgass, Riccardo; Loreto, Vittorio; Mazzella, Orfeo; Paladin, Giovanni Earthquakes statistics and fractal faults Journal Article PHYSICAL REVIEW E, 56 , pp. 1346–1356, 1997. Abstract | Links | BibTeX | Tags: earthquakes, hallgass, loreto, mazzella, paladin, self_organization, statistical_physics @article{b, title = {Earthquakes statistics and fractal faults}, author = {Riccardo Hallgass and Vittorio Loreto and Orfeo Mazzella and Giovanni Paladin}, url = {http://pre.aps.org/abstract/PRE/v56/i2/p1346_1, http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=A1997XR16000015&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=0c7ff228ccbaaa74236f48834a34396a}, year = {1997}, date = {1997-01-01}, journal = {PHYSICAL REVIEW E}, volume = {56}, pages = {1346--1356}, publisher = {AMERICAN PHYSICAL SOC}, abstract = {We introduce a Self-affine Asperity Model (SAM) for the seismicity that mimics the fault friction by means of two fractional Brownian profiles (fBm) that slide one over the other. An earthquake occurs when there is an overlap of the two profiles representing the two fault faces and its energy is assumed proportional to the overlap surface. The SAM exhibits the Gutenberg-Richter law with an exponent $beta$ related to the roughness index of the profiles. Apart from being analytically treatable, the model exhibits a non-trivial clustering in the spatio-temporal distribution of epicenters that strongly resembles the experimentally observed one. A generalized and more realistic version of the model exhibits the Omori scaling for the distribution of the aftershocks. The SAM lies in a different perspective with respect to usual models for seismicity. In this case, in fact, the critical behaviour is not Self-Organized but stems from the fractal geometry of the faults, which, on its turn, is supposed to arise as a consequence of geological processes on very long time scales with respect to the seismic dynamics. The explicit introduction of the fault geometry, as an active element of this complex phenomenology, represents the real novelty of our approach.}, keywords = {earthquakes, hallgass, loreto, mazzella, paladin, self_organization, statistical_physics}, pubstate = {published}, tppubtype = {article} } We introduce a Self-affine Asperity Model (SAM) for the seismicity that mimics the fault friction by means of two fractional Brownian profiles (fBm) that slide one over the other. An earthquake occurs when there is an overlap of the two profiles representing the two fault faces and its energy is assumed proportional to the overlap surface. The SAM exhibits the Gutenberg-Richter law with an exponent $beta$ related to the roughness index of the profiles. Apart from being analytically treatable, the model exhibits a non-trivial clustering in the spatio-temporal distribution of epicenters that strongly resembles the experimentally observed one. A generalized and more realistic version of the model exhibits the Omori scaling for the distribution of the aftershocks. The SAM lies in a different perspective with respect to usual models for seismicity. In this case, in fact, the critical behaviour is not Self-Organized but stems from the fractal geometry of the faults, which, on its turn, is supposed to arise as a consequence of geological processes on very long time scales with respect to the seismic dynamics. The explicit introduction of the fault geometry, as an active element of this complex phenomenology, represents the real novelty of our approach. |
1996 |
Hur, Asa Ben; Hallgass, Riccardo; Loreto, Vittorio A renormalization procedure for directed sandpile models Journal Article PHYSICAL REVIEW E, 54 , pp. 1426–1432, 1996. Abstract | Links | BibTeX | Tags: ben-hur, DDRG, hallgass, loreto, self_organization, statistical_physics @article{b, title = {A renormalization procedure for directed sandpile models}, author = {Asa Ben Hur and Riccardo Hallgass and Vittorio Loreto}, url = {http://pre.aps.org/abstract/PRE/v54/i2/p1426_1, http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=A1996VD67400057&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=0c7ff228ccbaaa74236f48834a34396a}, year = {1996}, date = {1996-01-01}, journal = {PHYSICAL REVIEW E}, volume = {54}, pages = {1426--1432}, publisher = {AMERICAN PHYSICAL SOC}, abstract = {Directed models of self-organized criticality are studied in the framework of a real-space renormalization group of a different type. The identification of a suitable phase space in which to define the renormalization transformation and the coupling with the stationarity condition enables us to clarify the nature of the critical state. The renormalization equations are found to have an attractive fixed point, as expected from the self-critical nature of the model. The values of the critical exponents obtained by this procedure are in excellent agreement with exact results.}, keywords = {ben-hur, DDRG, hallgass, loreto, self_organization, statistical_physics}, pubstate = {published}, tppubtype = {article} } Directed models of self-organized criticality are studied in the framework of a real-space renormalization group of a different type. The identification of a suitable phase space in which to define the renormalization transformation and the coupling with the stationarity condition enables us to clarify the nature of the critical state. The renormalization equations are found to have an attractive fixed point, as expected from the self-critical nature of the model. The values of the critical exponents obtained by this procedure are in excellent agreement with exact results. |
Loreto, Vittorio; Paladin, Giovanni; Vulpiani, Angelo Concept of complexity in random dynamical systems Journal Article PHYSICAL REVIEW E, 53 , pp. 2087–2098, 1996. Abstract | Links | BibTeX | Tags: complexity, dynamical_systems, loreto, paladin, statistical_physics, vulpiani @article{b, title = {Concept of complexity in random dynamical systems}, author = {Vittorio Loreto and Giovanni Paladin and Angelo Vulpiani}, url = {http://pre.aps.org/abstract/PRE/v53/i3/p2087_1 http://samarcanda.phys.uniroma1.it/vittorioloreto/PAPERS/1996/Loreto_PhysRevE_1996.pdf}, year = {1996}, date = {1996-01-01}, journal = {PHYSICAL REVIEW E}, volume = {53}, pages = {2087--2098}, publisher = {AMERICAN PHYSICAL SOC}, abstract = {We introduce a measure of complexity in terms of the average number of bits per time unit necessary to specify the sequence generated by the system. In dynamical systems with small random perturbations, this indicator coincides with the rate K of divergence of nearby trajectories evolving under two different noise realizations. The meaning of K is discussed in the context of the information theory, and it is shown that it can be determined from real experimental data. In the presence of strong dynamical intermittency, the value of K is very different from the standard Lyapunov exponent lambda(sigma) computed considering two nearby trajectories evolving under the same realization of the randomness. However, the former is much more relevant than the latter from a physical point of view, as illustrated by some numerical computations for noisy maps and sandpile models.}, keywords = {complexity, dynamical_systems, loreto, paladin, statistical_physics, vulpiani}, pubstate = {published}, tppubtype = {article} } We introduce a measure of complexity in terms of the average number of bits per time unit necessary to specify the sequence generated by the system. In dynamical systems with small random perturbations, this indicator coincides with the rate K of divergence of nearby trajectories evolving under two different noise realizations. The meaning of K is discussed in the context of the information theory, and it is shown that it can be determined from real experimental data. In the presence of strong dynamical intermittency, the value of K is very different from the standard Lyapunov exponent lambda(sigma) computed considering two nearby trajectories evolving under the same realization of the randomness. However, the former is much more relevant than the latter from a physical point of view, as illustrated by some numerical computations for noisy maps and sandpile models. |
Caglioti, Emanuele; Loreto, Vittorio Dynamical properties and predictability in a class of self-organized critical models Journal Article PHYSICAL REVIEW E, 53 , pp. R2953–R2956, 1996. Abstract | Links | BibTeX | Tags: caglioti, dynamical_systems, loreto, self_organization, statistical_physics @article{b, title = {Dynamical properties and predictability in a class of self-organized critical models}, author = {Emanuele Caglioti and Vittorio Loreto}, url = {http://pre.aps.org/abstract/PRE/v53/i3/p2953_1 http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=A1996UA37100116&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=0c7ff228ccbaaa74236f48834a34396a}, year = {1996}, date = {1996-01-01}, journal = {PHYSICAL REVIEW E}, volume = {53}, pages = {R2953--R2956}, publisher = {AMERICAN PHYSICAL SOC}, abstract = {We consider a particular class of self-organized critical models. For these systems we show that the Lyapunov exponent is strictly lower than zero. That allows us to describe the dynamics in terms of a piecewise linear contractive map. We describe the physical mechanisms underlying the approach to the recurrent set in the configuration space and we discuss the structure of the attractor for the dynamics. Finally the problem of the chaoticity of these systems and the definition of a predictability are addressed.}, keywords = {caglioti, dynamical_systems, loreto, self_organization, statistical_physics}, pubstate = {published}, tppubtype = {article} } We consider a particular class of self-organized critical models. For these systems we show that the Lyapunov exponent is strictly lower than zero. That allows us to describe the dynamics in terms of a piecewise linear contractive map. We describe the physical mechanisms underlying the approach to the recurrent set in the configuration space and we discuss the structure of the attractor for the dynamics. Finally the problem of the chaoticity of these systems and the definition of a predictability are addressed. |
Vespignani, Alessandro; Zapperi, Stefano; Loreto, Vittorio Renormalization of non-equilibrium systems with critical stationary state Journal Article PHYSICAL REVIEW LETTERS, 77 , pp. 4560–4563, 1996. Abstract | Links | BibTeX | Tags: DDRG, loreto, self_organization, statistical_physics, vespignani, zapperi @article{b, title = {Renormalization of non-equilibrium systems with critical stationary state}, author = {Alessandro Vespignani and Stefano Zapperi and Vittorio Loreto}, url = {http://prl.aps.org/abstract/PRL/v77/i22/p4560_1 http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=A1996VU50200020&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=0c7ff228ccbaaa74236f48834a34396a}, year = {1996}, date = {1996-01-01}, journal = {PHYSICAL REVIEW LETTERS}, volume = {77}, pages = {4560--4563}, abstract = {We introduce the general formulation of a renormalization method suitable to study the critical properties of non-equilibrium systems with steady-states: the Dynamically Driven Renormalization Group. We renormalize the time evolution operator by computing the rescaled time transition rate between coarse grained states. The obtained renormalization equations are coupled to a stationarity condition which provides the approximate non-equilibrium statistical weights of steady-state configurations to be used in the calculations. In this way we are able to write recursion relations for the parameters evolution under scale change, from which we can extract numerical values for the critical exponents. This general framework allows the systematic analysis of several models showing self-organized criticality in terms of usual concepts of phase transitions and critical phenomena.}, keywords = {DDRG, loreto, self_organization, statistical_physics, vespignani, zapperi}, pubstate = {published}, tppubtype = {article} } We introduce the general formulation of a renormalization method suitable to study the critical properties of non-equilibrium systems with steady-states: the Dynamically Driven Renormalization Group. We renormalize the time evolution operator by computing the rescaled time transition rate between coarse grained states. The obtained renormalization equations are coupled to a stationarity condition which provides the approximate non-equilibrium statistical weights of steady-state configurations to be used in the calculations. In this way we are able to write recursion relations for the parameters evolution under scale change, from which we can extract numerical values for the critical exponents. This general framework allows the systematic analysis of several models showing self-organized criticality in terms of usual concepts of phase transitions and critical phenomena. |
Loreto, Vittorio; Vespignani, Alessandro; Zapperi, Stefano Renormalization scheme for forest-fire models Journal Article JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL, 29 , pp. 2981–3004, 1996. Links | BibTeX | Tags: DDRG, loreto, self_organization, statistical_physics, vespignani, zapperi @article{b, title = {Renormalization scheme for forest-fire models}, author = {Vittorio Loreto and Alessandro Vespignani and Stefano Zapperi}, url = {http://www.scopus.com/inward/record.url?eid=2-s2.0-0040108749&partnerID=65&md5=f34393a56c2dfc0797f394df2fda943a http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=A1996UU80300008&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=0c7ff228ccbaaa74236f48834a34396a}, year = {1996}, date = {1996-01-01}, journal = {JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL}, volume = {29}, pages = {2981--3004}, publisher = {IOP Publishing Limited:Dirac House, Temple Back, Bristol BS1 6BE United Kingdom:011 44 117 9297481, EMAIL: custserv@iop.org, INTERNET: http://www.iop.org, Fax: 011 44 117 9294318}, keywords = {DDRG, loreto, self_organization, statistical_physics, vespignani, zapperi}, pubstate = {published}, tppubtype = {article} } |
Rubeis, Valerio De; Hallgass, Riccardo; Loreto, Vittorio PHYSICAL REVIEW LETTERS, 76 , pp. 2599–2602, 1996. Abstract | Links | BibTeX | Tags: derubeis, earthquakes, halgass, loreto, statistical_physics @article{b, author = {Valerio De Rubeis and Riccardo Hallgass and Vittorio Loreto}, url = {http://prl.aps.org/abstract/PRL/v76/i14/p2599_1, http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=A1996UC77700049&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=0c7ff228ccbaaa74236f48834a34396a}, year = {1996}, date = {1996-01-01}, journal = {PHYSICAL REVIEW LETTERS}, volume = {76}, pages = {2599--2602}, publisher = {AMERICAN PHYSICAL SOC}, abstract = {A model for fault dynamics consisting of two rough and rigid Brownian profiles that slide one over the other is introduced. An earthquake occurs when there is an intersection between the two profiles. The energy released is proportional to the overlap interval. Our model exhibits some specific features which follow from the fractal geometry of the fault: (1) nonuniversality of the exponent of the Gutenberg-Richter law for the magnitude distribution, (2) presence of local stress accumulation before a large seismic event, and (3) nontrivial space-time clustering of the epicenters.}, keywords = {derubeis, earthquakes, halgass, loreto, statistical_physics}, pubstate = {published}, tppubtype = {article} } A model for fault dynamics consisting of two rough and rigid Brownian profiles that slide one over the other is introduced. An earthquake occurs when there is an intersection between the two profiles. The energy released is proportional to the overlap interval. Our model exhibits some specific features which follow from the fractal geometry of the fault: (1) nonuniversality of the exponent of the Gutenberg-Richter law for the magnitude distribution, (2) presence of local stress accumulation before a large seismic event, and (3) nontrivial space-time clustering of the epicenters. |
1995 |
Cafiero, Raffaele; Loreto, Vittorio; Pietronero, Luciano; Vespignani, Alessandro; Zapperi, Stefano Local rigidity and self-organized criticality for avalanches Journal Article EUROPHYSICS LETTERS, 29 , pp. 111–116, 1995. Abstract | Links | BibTeX | Tags: cafiero, loreto, pietronero, self_organization, statistical_physics, vespignani, zapperi @article{b, title = {Local rigidity and self-organized criticality for avalanches}, author = {Raffaele Cafiero and Vittorio Loreto and Luciano Pietronero and Alessandro Vespignani and Stefano Zapperi}, url = {http://iopscience.iop.org/0295-5075/29/2/001;jsessionid=8822A74DE3C96358510326242C4AF4E3.c3 http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=A1995QC36900001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=0c7ff228ccbaaa74236f48834a34396a}, year = {1995}, date = {1995-01-01}, journal = {EUROPHYSICS LETTERS}, volume = {29}, pages = {111--116}, publisher = {EDITIONS PHYSIQUE}, abstract = {The general conditions for a sandpile system to evolve spontaneously into a critical state characterized by a power law distribution of avalanches or bursts are identified as: a) the existence of a stationary state with a global conservation law; b) long-range correlations in the continuum limit (i.e. Laplacian diffusive field); c) the existence of a local rigidity for the microscopic dynamics. These conditions permit a classification of the models that have been considered up to now and the identification of the local rigidity as a new basic parameter that can lead to various possible scenarios ranging continuously from SOC behaviour to standard diffusion.}, keywords = {cafiero, loreto, pietronero, self_organization, statistical_physics, vespignani, zapperi}, pubstate = {published}, tppubtype = {article} } The general conditions for a sandpile system to evolve spontaneously into a critical state characterized by a power law distribution of avalanches or bursts are identified as: a) the existence of a stationary state with a global conservation law; b) long-range correlations in the continuum limit (i.e. Laplacian diffusive field); c) the existence of a local rigidity for the microscopic dynamics. These conditions permit a classification of the models that have been considered up to now and the identification of the local rigidity as a new basic parameter that can lead to various possible scenarios ranging continuously from SOC behaviour to standard diffusion. |
Loreto, Vittorio; Pietronero, Luciano; Vespignani, Alessandro; Zapperi, Stefano Renormalization group approach to the crtical behavior of the forest-fire model Journal Article PHYSICAL REVIEW LETTERS, 75 , pp. 465–468, 1995. Abstract | Links | BibTeX | Tags: DDRG, loreto, pietronero, self_organization, statistical_physics, vespignani, zapperi @article{b, title = {Renormalization group approach to the crtical behavior of the forest-fire model}, author = {Vittorio Loreto and Luciano Pietronero and Alessandro Vespignani and Stefano Zapperi}, url = {http://prl.aps.org/abstract/PRL/v75/i3/p465_1, http://www.scopus.com/inward/record.url?eid=2-s2.0-0000977225&partnerID=65&md5=4f03991047dc2820ef6c00a2e81b3c7d http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=A1995RK33000028&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=0c7ff228ccbaaa74236f48834a34396a}, year = {1995}, date = {1995-01-01}, journal = {PHYSICAL REVIEW LETTERS}, volume = {75}, pages = {465--468}, abstract = {We introduce a renormalization scheme for the one- and two-dimensional forest-fire model in order to characterize the nature of the critical state and its scale invariant dynamics. We show the existence of a relevant scaling field associated with a repulsive fixed point. This model is therefore critical in the usual sense because the control parameter has to be tuned to its critical value in order to get criticality. It turns out that this is not just the condition for a time scale separation. The critical exponents are computed analytically and we obtain ν = 1.0, τ = 1.0 and ν = 0.65, τ = 1.16, respectively, for the one- and two-dimensional cases, in very good agreement with numerical simulations.}, keywords = {DDRG, loreto, pietronero, self_organization, statistical_physics, vespignani, zapperi}, pubstate = {published}, tppubtype = {article} } We introduce a renormalization scheme for the one- and two-dimensional forest-fire model in order to characterize the nature of the critical state and its scale invariant dynamics. We show the existence of a relevant scaling field associated with a repulsive fixed point. This model is therefore critical in the usual sense because the control parameter has to be tuned to its critical value in order to get criticality. It turns out that this is not just the condition for a time scale separation. The critical exponents are computed analytically and we obtain ν = 1.0, τ = 1.0 and ν = 0.65, τ = 1.16, respectively, for the one- and two-dimensional cases, in very good agreement with numerical simulations. |
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