2012 |
Marchetti, Riccardo; Taloni, Alessandro; Caglioti, Emanuele; Loreto, Vittorio; Pietronero, Luciano Stationary Growth and Unique Invariant Harmonic Measure of Cylindrical Diffusion Limited Aggregation Journal Article PHYSICAL REVIEW LETTERS, 109 , 2012. Abstract | Links | BibTeX | Tag: caglioti, complex_systems, loreto, marchetti, pietronero, taloni @article{b, title = {Stationary Growth and Unique Invariant Harmonic Measure of Cylindrical Diffusion Limited Aggregation}, author = {Riccardo Marchetti and Alessandro Taloni and Emanuele Caglioti and Vittorio Loreto and Luciano Pietronero}, url = {http://prl.aps.org/}, year = {2012}, date = {2012-01-01}, journal = {PHYSICAL REVIEW LETTERS}, volume = {109}, publisher = {AMER PHYSICAL SOC}, abstract = {We prove that the harmonic measure is stationary, unique, and invariant on the interface of diffusion limited aggregation (DLA) growing on a cylinder surface. We provide a detailed theoretical analysis puzzling together multiscaling, multifractality, and conformal invariance, supported by extensive numerical simulations of clusters built using conformal mappings and on a lattice. The growth properties of the active and frozen zones are clearly elucidated. We show that the unique scaling exponent characterizing the stationary growth is the DLA fractal dimension.}, keywords = {caglioti, complex_systems, loreto, marchetti, pietronero, taloni}, pubstate = {published}, tppubtype = {article} } We prove that the harmonic measure is stationary, unique, and invariant on the interface of diffusion limited aggregation (DLA) growing on a cylinder surface. We provide a detailed theoretical analysis puzzling together multiscaling, multifractality, and conformal invariance, supported by extensive numerical simulations of clusters built using conformal mappings and on a lattice. The growth properties of the active and frozen zones are clearly elucidated. We show that the unique scaling exponent characterizing the stationary growth is the DLA fractal dimension. |
2010 |
Tria, Francesca; Caglioti, Emanuele; Loreto, Vittorio; Pagnani, Andrea A Stochastic Local Search Algorithm for Distance-Based Phylogeny Reconstruction Journal Article MOLECULAR BIOLOGY AND EVOLUTION, 27 (11) , pp. 2587–2595, 2010. Links | BibTeX | Tag: caglioti, evolutionary_dynamics, loreto, pagnani, phylogeny, tria @article{b, title = {A Stochastic Local Search Algorithm for Distance-Based Phylogeny Reconstruction}, author = {Francesca Tria and Emanuele Caglioti and Vittorio Loreto and Andrea Pagnani}, url = {http://www.scopus.com/inward/record.url?eid=2-s2.0-77958142872&partnerID=65&md5=8bb15034042b6d808b9afb8819bb44d6 http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=000283118000015&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=0c7ff228ccbaaa74236f48834a34396a}, year = {2010}, date = {2010-01-01}, journal = {MOLECULAR BIOLOGY AND EVOLUTION}, volume = {27 (11)}, pages = {2587--2595}, keywords = {caglioti, evolutionary_dynamics, loreto, pagnani, phylogeny, tria}, pubstate = {published}, tppubtype = {article} } |
Tria, Francesca; Caglioti, Emanuele; Loreto, Vittorio; Pagnani, Andrea A stochastic local search approach to language tree reconstruction Journal Article 27 , pp. 341–358, 2010. Links | BibTeX | Tag: caglioti, evolutionary_dynamics, loreto, pagnani, phylogeny, tria @article{b, title = {A stochastic local search approach to language tree reconstruction}, author = {Francesca Tria and Emanuele Caglioti and Vittorio Loreto and Andrea Pagnani}, url = {http://www.scopus.com/inward/record.url?eid=2-s2.0-77958505543&partnerID=65&md5=2a15ef158e89c0e12ba7d0efb7201de5 http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=000283796800009&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=0c7ff228ccbaaa74236f48834a34396a}, year = {2010}, date = {2010-01-01}, volume = {27}, pages = {341--358}, keywords = {caglioti, evolutionary_dynamics, loreto, pagnani, phylogeny, tria}, pubstate = {published}, tppubtype = {article} } |
Caglioti, Emanuele; Loreto, Vittorio; Pompei, Simone; Tria, Francesca Distance-based Phylogenetic algorithms: new insights and applications Journal Article MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES, 20 , pp. 1511–1532, 2010. Links | BibTeX | Tag: caglioti, evolutionary_dynamics, loreto, phylogeny, pompei, tria @article{b, title = {Distance-based Phylogenetic algorithms: new insights and applications}, author = {Emanuele Caglioti and Vittorio Loreto and Simone Pompei and Francesca Tria}, url = {http://www.scopus.com/inward/record.url?eid=2-s2.0-77957171910&partnerID=65&md5=41f74dd5dff0e500c1061a8d02fcd6c8 http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=000282218000006&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=0c7ff228ccbaaa74236f48834a34396a}, year = {2010}, date = {2010-01-01}, journal = {MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES}, volume = {20}, pages = {1511--1532}, publisher = {World Scientific Publishing Company:PO Box 128, Farrer Road, Singapore 912805 Singapore:011 65 6 4665775, EMAIL: journal@wspc.com.sg, INTERNET: http://www.wspc.com.sg, http://www.worldscinet.com, Fax: 011 65 6 4677667}, keywords = {caglioti, evolutionary_dynamics, loreto, phylogeny, pompei, tria}, 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 | Tag: 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. |
Baronchelli, Andrea; Felici, Maddalena; Loreto, Vittorio; Caglioti, Emanuele; Steels, Luc Sharp transition towards shared vocabularies in multi-agent systems Journal Article JOURNAL OF STATISTICAL MECHANICS: THEORY AND EXPERIMENT, P06014 , pp. P06014–P06019, 2006. Abstract | Links | BibTeX | Tag: baronchelli, caglioti, felici, language_dynamics, loreto, steels @article{b, title = {Sharp transition towards shared vocabularies in multi-agent systems}, author = {Andrea Baronchelli and Maddalena Felici and Vittorio Loreto and Emanuele Caglioti and Luc Steels}, url = {http://www.scopus.com/inward/record.url?eid=2-s2.0-42749102031&partnerID=65&md5=0d19c9fc9b115fd59f34ab6aa076a560 http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=000238970000010&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=0c7ff228ccbaaa74236f48834a34396a}, year = {2006}, date = {2006-01-01}, journal = {JOURNAL OF STATISTICAL MECHANICS: THEORY AND EXPERIMENT}, volume = {P06014}, pages = {P06014--P06019}, abstract = {What processes can explain how very large populations are able to converge on the use of a particular word or grammatical construction without global coordination? Answering this question helps to understand why new language constructs usually propagate along an S-shaped curve with a rather sudden transition towards global agreement. It also helps to analyse and design new technologies that support or orchestrate self-organizing communication systems, such as recent social tagging systems for the web. The article introduces and studies a microscopic model of communicating autonomous agents performing language games without any central control. We show that the system undergoes a disorder/order transition, going through a sharp symmetry breaking process to reach a shared set of conventions. Before the transition, the system builds up non-trivial scale-invariant correlations, for instance in the distribution of competing synonyms, which display a Zipf-like law. These correlations make the system ready for the transition towards shared conventions, which, observed on the timescale of collective behaviours, becomes sharper and sharper with system size. This surprising result not only explains why human language can scale up to very large populations but also suggests ways to optimize artificial semiotic dynamics.}, keywords = {baronchelli, caglioti, felici, language_dynamics, loreto, steels}, pubstate = {published}, tppubtype = {article} } What processes can explain how very large populations are able to converge on the use of a particular word or grammatical construction without global coordination? Answering this question helps to understand why new language constructs usually propagate along an S-shaped curve with a rather sudden transition towards global agreement. It also helps to analyse and design new technologies that support or orchestrate self-organizing communication systems, such as recent social tagging systems for the web. The article introduces and studies a microscopic model of communicating autonomous agents performing language games without any central control. We show that the system undergoes a disorder/order transition, going through a sharp symmetry breaking process to reach a shared set of conventions. Before the transition, the system builds up non-trivial scale-invariant correlations, for instance in the distribution of competing synonyms, which display a Zipf-like law. These correlations make the system ready for the transition towards shared conventions, which, observed on the timescale of collective behaviours, becomes sharper and sharper with system size. This surprising result not only explains why human language can scale up to very large populations but also suggests ways to optimize artificial semiotic dynamics. |
2005 |
Baronchelli, Andrea; Caglioti, Emanuele; Loreto, Vittorio Artificial sequences and complexity measures Journal Article JOURNAL OF STATISTICAL MECHANICS: THEORY AND EXPERIMENT, P04002 , pp. P04002:1–P04002:10, 2005. Links | BibTeX | Tag: baronchelli, caglioti, complexity, information_theory, loreto, zippers @article{b, title = {Artificial sequences and complexity measures}, author = {Andrea Baronchelli and Emanuele Caglioti and Vittorio Loreto}, url = {http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=000228865100013&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=0c7ff228ccbaaa74236f48834a34396a}, year = {2005}, date = {2005-01-01}, journal = {JOURNAL OF STATISTICAL MECHANICS: THEORY AND EXPERIMENT}, volume = {P04002}, pages = {P04002:1--P04002:10}, keywords = {baronchelli, caglioti, complexity, information_theory, loreto, zippers}, pubstate = {published}, tppubtype = {article} } |
Baronchelli, Andrea; Caglioti, Emanuele; Loreto, Vittorio Measuring complexity with zippers Journal Article EUROPEAN JOURNAL OF PHYSICS, 26 , pp. S69–S77, 2005. Links | BibTeX | Tag: baronchelli, caglioti, complexity, information_theory, loreto, zippers @article{b, title = {Measuring complexity with zippers}, author = {Andrea Baronchelli and Emanuele Caglioti and Vittorio Loreto}, url = {http://www.scopus.com/inward/record.url?eid=2-s2.0-23844518349&partnerID=65&md5=c4ee268ca9d645082e80a458ee363027 http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=000232321900009&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=0c7ff228ccbaaa74236f48834a34396a}, year = {2005}, date = {2005-01-01}, journal = {EUROPEAN JOURNAL OF PHYSICS}, volume = {26}, pages = {S69--S77}, keywords = {baronchelli, caglioti, complexity, information_theory, loreto, zippers}, pubstate = {published}, tppubtype = {article} } |
2004 |
Baronchelli, Andrea; Caglioti, Emanuele; Loreto, Vittorio; Pizzi, Elisabetta Dictionary based methods for information extraction Journal Article PHYSICA A, 342 , pp. 294–300, 2004. Links | BibTeX | Tag: baronchelli, caglioti, complexity, data_compression, information_theory, loreto, pizzi, zippers @article{b, title = {Dictionary based methods for information extraction}, author = {Andrea Baronchelli and Emanuele Caglioti and Vittorio Loreto and Elisabetta Pizzi}, url = {http://www.scopus.com/inward/record.url?eid=2-s2.0-4544274009&partnerID=65&md5=c82c34dcc720c2c1feb9b2ead36b2b37 http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=000224217100043&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=0c7ff228ccbaaa74236f48834a34396a}, year = {2004}, date = {2004-01-01}, journal = {PHYSICA A}, volume = {342}, pages = {294--300}, publisher = {Elsevier, Amsterdam}, keywords = {baronchelli, caglioti, complexity, data_compression, information_theory, loreto, pizzi, zippers}, pubstate = {published}, tppubtype = {article} } |
2003 |
Puglisi, Andrea; Benedetto, Dario; Caglioti, Emanuele; Loreto, Vittorio; Vulpiani, Angelo Data Compression and Learning in time sequences analysis Journal Article PHYSICA D-NONLINEAR PHENOMENA, 180/1-2 , pp. 92–107, 2003. Links | BibTeX | Tag: benedetto, caglioti, complexity, data_compression, information_theory, loreto, vulpiani, zippers @article{b, title = {Data Compression and Learning in time sequences analysis}, author = {Andrea Puglisi and Dario Benedetto and Emanuele Caglioti and Vittorio Loreto and Angelo Vulpiani}, url = {http://www.scopus.com/inward/record.url?eid=2-s2.0-0038284954&partnerID=65&md5=52d923821bee5f92d9c470f8d4aee0fe http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=000183162700005&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=0c7ff228ccbaaa74236f48834a34396a}, year = {2003}, date = {2003-01-01}, journal = {PHYSICA D-NONLINEAR PHENOMENA}, volume = {180/1-2}, pages = {92--107}, keywords = {benedetto, caglioti, complexity, data_compression, information_theory, loreto, vulpiani, zippers}, pubstate = {published}, tppubtype = {article} } |
Benedetto, Dario; Caglioti, Emanuele; Loreto, Vittorio Zipping out relevant information Journal Article COMPUTING IN SCIENCE & ENGINEERING, 5 (1) , pp. 80–85, 2003. Links | BibTeX | Tag: benedetto, caglioti, complexity, data_compression, information_theory, loreto, zippers @article{b, title = {Zipping out relevant information}, author = {Dario Benedetto and Emanuele Caglioti and Vittorio Loreto}, url = {http://www.scopus.com/inward/record.url?eid=2-s2.0-0037235373&partnerID=65&md5=953371f02864768a9eb99b9b5cea5987 http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=000180163000018&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=0c7ff228ccbaaa74236f48834a34396a}, year = {2003}, date = {2003-01-01}, journal = {COMPUTING IN SCIENCE & ENGINEERING}, volume = {5 (1)}, pages = {80--85}, keywords = {benedetto, caglioti, complexity, data_compression, information_theory, loreto, zippers}, pubstate = {published}, tppubtype = {article} } |
2002 |
Benedetto, Dario; Caglioti, Emanuele; Loreto, Vittorio Language trees and zipping Journal Article PHYSICAL REVIEW LETTERS, 88 , pp. 048702:1–048702:4, 2002. Links | BibTeX | Tag: benedetto, caglioti, complexity, data_compression, information_theory, loreto, zippers @article{b, title = {Language trees and zipping}, author = {Dario Benedetto and Emanuele Caglioti and Vittorio Loreto}, url = {http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=000173907500085&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=0c7ff228ccbaaa74236f48834a34396a}, year = {2002}, date = {2002-01-01}, journal = {PHYSICAL REVIEW LETTERS}, volume = {88}, pages = {048702:1--048702:4}, keywords = {benedetto, caglioti, complexity, data_compression, information_theory, loreto, zippers}, pubstate = {published}, tppubtype = {article} } |
1999 |
Caglioti, Emanuele; Coniglio, Antonio; Hermann, Hans J; Loreto, Vittorio Cooperative lenght approach for granular media Journal Article PHYSICA. A, 265 , pp. 311–318, 1999. Abstract | Links | BibTeX | Tag: caglioti, coniglio, granular_media, herrmann, loreto @article{b, title = {Cooperative lenght approach for granular media}, author = {Emanuele Caglioti and Antonio Coniglio and Hans J. Hermann and Vittorio Loreto}, url = {http://www.sciencedirect.com/science/article/pii/S0378437198006608, http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=000079060800023&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=0c7ff228ccbaaa74236f48834a34396a}, year = {1999}, date = {1999-01-01}, journal = {PHYSICA. A}, volume = {265}, pages = {311--318}, publisher = {Elsevier B.V.}, abstract = {We analyze the non-equilibrium relaxation properties of granular materials in the perspective of a cooperative length approach of Adam and Gibbs. The existence of complex geometrical interactions between the grains induces a rough landscape in the structure of the allowable phase space and in the configurational entropy. At their turn these effects induce the need of complex cooperative rearrangements which account for the very slow relaxation dynamics of these systems. On this basis we relate quantitatively the characteristic dynamical properties to quasistatic quantities, e.g. free-volume and configurational entropy.}, keywords = {caglioti, coniglio, granular_media, herrmann, loreto}, pubstate = {published}, tppubtype = {article} } We analyze the non-equilibrium relaxation properties of granular materials in the perspective of a cooperative length approach of Adam and Gibbs. The existence of complex geometrical interactions between the grains induces a rough landscape in the structure of the allowable phase space and in the configurational entropy. At their turn these effects induce the need of complex cooperative rearrangements which account for the very slow relaxation dynamics of these systems. On this basis we relate quantitatively the characteristic dynamical properties to quasistatic quantities, e.g. free-volume and configurational entropy. |
1998 |
Caglioti, Emanuele; Coniglio, Antonio; Herrmann, Hans J; Loreto, Vittorio; Nicodemi, Mario Segregation of granular mixtures in presence of compaction Journal Article EUROPHYSICS LETTERS, 43 , pp. 591–597, 1998. Abstract | Links | BibTeX | Tag: caglioti, coniglio, granular_media, herrmann, loreto, nicodemi, tetris @article{b, title = {Segregation of granular mixtures in presence of compaction}, author = {Emanuele Caglioti and Antonio Coniglio and Hans J. Herrmann and Vittorio Loreto and Mario Nicodemi}, url = {http://iopscience.iop.org/0295-5075/43/5/591/, http://www.scopus.com/inward/record.url?eid=2-s2.0-0032164694&partnerID=65&md5=c108ca4627474930d839d71d325afc8b, http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=000075612400017&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=0c7ff228ccbaaa74236f48834a34396a}, year = {1998}, date = {1998-01-01}, journal = {EUROPHYSICS LETTERS}, volume = {43}, pages = {591--597}, abstract = {We study the segregation phenomena in granular media in the framework of Tetris-like models for granular compaction. The models, which focus on the geometrical properties of mixtures, exhibit segregation, i.e. separation of particles with different degrees of geometrical frustration. This effect is related to the effective average mobilities of the different particles. Mie study these effects in the context of an analytical mean-field-like model.}, keywords = {caglioti, coniglio, granular_media, herrmann, loreto, nicodemi, tetris}, pubstate = {published}, tppubtype = {article} } We study the segregation phenomena in granular media in the framework of Tetris-like models for granular compaction. The models, which focus on the geometrical properties of mixtures, exhibit segregation, i.e. separation of particles with different degrees of geometrical frustration. This effect is related to the effective average mobilities of the different particles. Mie study these effects in the context of an analytical mean-field-like model. |
1997 |
Caglioti, Emanuele; Loreto, Vittorio; Herrmann, Hans J; Nicodemi, Mario A "tetris-like" model for the compaction of dry granular media Journal Article PHYSICAL REVIEW LETTERS, 79 , pp. 1575–1578, 1997. Abstract | Links | BibTeX | Tag: caglioti, granular_media, herrmann, loreto, nicodemi, tetris @article{b, title = {A "tetris-like" model for the compaction of dry granular media}, author = {Emanuele Caglioti and Vittorio Loreto and Hans J. Herrmann and Mario Nicodemi}, url = {http://link.aps.org/doi/10.1103/PhysRevLett.79.1575, http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=A1997XT12400038&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=0c7ff228ccbaaa74236f48834a34396a}, year = {1997}, date = {1997-01-01}, journal = {PHYSICAL REVIEW LETTERS}, volume = {79}, pages = {1575--1578}, abstract = {We propose a two-dimensional geometrical model, based on the concept of geometrical frustration, conceived for the study of compaction in granular media. The dynamics exhibits an interesting inverse logarithmic law that is well known from real experiments. Moreover, we present a simple dynamical model of N planes exchanging particles with excluded volume problems, which allows us to clarify the origin of the logarithmic relaxations and the stationary density distribution. A simple mapping allows us to cast this Tetris-like model in the form of an Ising-like spin system with vacancies.}, keywords = {caglioti, granular_media, herrmann, loreto, nicodemi, tetris}, pubstate = {published}, tppubtype = {article} } We propose a two-dimensional geometrical model, based on the concept of geometrical frustration, conceived for the study of compaction in granular media. The dynamics exhibits an interesting inverse logarithmic law that is well known from real experiments. Moreover, we present a simple dynamical model of N planes exchanging particles with excluded volume problems, which allows us to clarify the origin of the logarithmic relaxations and the stationary density distribution. A simple mapping allows us to cast this Tetris-like model in the form of an Ising-like spin system with vacancies. |
1996 |
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 | Tag: 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. |
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