@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.
@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.
