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Local rigidity in sandpile models

Ciliberti, Stefano and Caldarelli, Guido and Loreto, Vittorio and Pietronero, Luciano Local rigidity in sandpile models. Physical Review E, 66 (1). ISSN 1539-3755 (2002)

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We address the problem of the role of the concept of local rigidity in the family of sandpile systems. We define rigidity as the ratio between the critical energy and the amplitude of the external perturbation and we show, in the framework of the dynamically driven renormalization group, that any finite value of the rigidity in a generalized sandpile model renormalizes to an infinite value at the fixed point, i.e., on a large scale. The fixed-point value of the rigidity allows then for a nonambiguous distinction between sandpilelike systems and diffusive systems. Numerical simulations support our analytical results.

Item Type: Article
Identification Number: 10.1103/PhysRevE.66.016133
Uncontrolled Keywords: PACS: 05.65.+b, 05.20.-y, 05.40.-a
Subjects: Q Science > QC Physics
Research Area: Economics and Institutional Change
Depositing User: Ms T. Iannizzi
Date Deposited: 21 Feb 2012 11:53
Last Modified: 21 Feb 2012 14:07
URI: http://eprints.imtlucca.it/id/eprint/1139

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