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http://hdl.handle.net/2445/125665
Title: | Percolation analysis of force networks in anisotropic granular matter |
Author: | Pastor-Satorras, R. (Romualdo), 1967- Miguel López, María del Carmen |
Keywords: | Percolació (Física estadística) Materials granulars Percolation (Statistical physics) Granular materials |
Issue Date: | 9-Feb-2012 |
Publisher: | International School for Advanced Studies (SISSA) and IOP Publishing (IOP) |
Abstract: | We study the percolation properties of force networks in an anisotropic model for granular packings, the so-called q-model. Following the original recipe of Ostojic et al (2006 Nature 439 828), we consider a percolation process in which forces smaller than a given threshold f are deleted in the network. For a critical threshold fc, the system experiences a transition akin to percolation. We determine the point of this transition and its characteristic critical exponents applying a finite-size scaling analysis that takes explicitly into account the directed nature of the q-model. By means of extensive numerical simulations, we show that this percolation transition is strongly affected by the anisotropic nature of the model, yielding characteristic exponents which are neither those found in isotropic granular systems nor those in the directed version of standard percolation. The differences shown by the computed exponents can be related to the presence of strong directed correlations and mass conservation laws in the model under scrutiny. |
Note: | Versió postprint del document publicat a: https://doi.org/10.1088/1742-5468/2012/02/P02008 |
It is part of: | Journal of Statistical Mechanics: Theory and Experiment, 2012, vol. 2012, num. P02008, p. 1-12 |
URI: | http://hdl.handle.net/2445/125665 |
Related resource: | https://doi.org/10.1088/1742-5468/2012/02/P02008 |
ISSN: | 1742-5468 |
Appears in Collections: | Articles publicats en revistes (Física de la Matèria Condensada) |
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