relation: http://eprints.imtlucca.it/1871/
title: Mean-field behavior of the sandpile model below the upper critical dimension
creator: Chessa, Alessandro
creator: Marinari, Enzo
creator: Vespignani, Alessandro
creator: Zapperi, Stefano
subject: QC Physics
description: 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.
publisher: American Physical Society
date: 1998-06
type: Article
type: PeerReviewed
identifier:   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)  
relation: http://link.aps.org/doi/10.1103/PhysRevE.57.R6241
relation: 10.1103/PhysRevE.57.R6241