eprintid: 1139 rev_number: 9 eprint_status: archive userid: 6 dir: disk0/00/00/11/39 datestamp: 2012-02-21 11:53:24 lastmod: 2012-02-21 14:07:19 status_changed: 2012-02-21 11:53:24 type: article metadata_visibility: show creators_name: Ciliberti, Stefano creators_name: Caldarelli, Guido creators_name: Loreto, Vittorio creators_name: Pietronero, Luciano creators_id: creators_id: guido.caldarelli@imtlucca.it creators_id: creators_id: title: Local rigidity in sandpile models ispublished: pub subjects: QC divisions: EIC full_text_status: none keywords: PACS: 05.65.+b, 05.20.-y, 05.40.-a abstract: 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. date: 2002 publication: Physical Review E volume: 66 number: 1 publisher: American Physical Society id_number: 10.1103/PhysRevE.66.016133 refereed: TRUE issn: 1539-3755 official_url: http://dx.doi.org/10.1103/PhysRevE.66.016133 citation: 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)