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)
Full text not available from this repository.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.
| Item Type: | Article |
|---|---|
| Identification Number: | 10.1103/PhysRevE.57.R6241 |
| Uncontrolled Keywords: | PACS: 64.60.Lx, 05.40.+j, 05.70.Ln |
| Subjects: | Q Science > QC Physics |
| Research Area: | Economics and Institutional Change |
| Depositing User: | Ms T. Iannizzi |
| Date Deposited: | 06 Nov 2013 11:00 |
| Last Modified: | 20 Nov 2013 08:53 |
| URI: | http://eprints.imtlucca.it/id/eprint/1871 |
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