eprintid: 1871
rev_number: 6
eprint_status: archive
userid: 6
dir: disk0/00/00/18/71
datestamp: 2013-11-06 11:00:00
lastmod: 2013-11-20 08:53:06
status_changed: 2013-11-06 11:00:00
type: article
metadata_visibility: show
creators_name: Chessa, Alessandro
creators_name: Marinari, Enzo
creators_name: Vespignani, Alessandro
creators_name: Zapperi, Stefano
creators_id: alessandro.chessa@imtlucca.it
creators_id: 
creators_id: 
creators_id: 
title: Mean-field behavior of the sandpile model below the upper critical dimension
ispublished: pub
subjects: QC
divisions: EIC
full_text_status: none
keywords: PACS: 64.60.Lx, 05.40.+j, 05.70.Ln

abstract: We present results of large scale numerical simulations of the Bak, Tang, and Wiesenfeld [Phys. Rev. Lett. 59, 381 (1987); Phys. Rev. A 38, 364 (1988)] sandpile model. We analyze the critical behavior of the model in Euclidean dimensions 2<~d<~6. We consider a dissipative generalization of the model and study the avalanche size and duration distributions for different values of the lattice size and dissipation. We find that the scaling exponents in d=4 significantly differ from mean-field predictions, thus suggesting an upper critical dimension dc>~5. Using the relations among the dissipation rate ε and the finite lattice size L, we find that a subset of the exponents displays mean-field values below the upper critical dimensions. This behavior is explained in terms of conservation laws.
date: 1998-06
date_type: published
publication: Physical Review E
volume: 57
publisher: American Physical Society
pagerange: R6241-R6244
id_number: 10.1103/PhysRevE.57.R6241
refereed: TRUE
issn: 1539-3755
official_url: http://link.aps.org/doi/10.1103/PhysRevE.57.R6241
related_url_url: http://arxiv.org/abs/cond-mat/9802123
citation:   Chessa, Alessandro and Marinari, Enzo and Vespignani, Alessandro and Zapperi, Stefano  Mean-field behavior of the sandpile model below the upper critical dimension.  Physical Review E, 57.  R6241-R6244.  ISSN 1539-3755      (1998)