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Energy constrained sandpile models

Chessa, Alessandro and Marinari, Enzo and Vespignani, Alessandro Energy constrained sandpile models. Physical Review Letters, 80. pp. 4217-4220. ISSN 0031-9007 (1998)

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We study two driven dynamical systems with conserved energy. The two automata contain the basic dynamical rules of the Bak, Tang, and Wiesenfeld sandpile model. In addition a global constraint on the energy contained in the lattice is imposed. In the limit of an infinitely slow driving of the system, the conserved energy E becomes the only parameter governing the dynamical behavior of the system. Both models show scale-free behavior at a critical value Ec of the fixed energy. The scaling with respect to the relevant scaling field points out that the developing of critical correlations is in a different universality class than self-organized critical sandpiles. Despite this difference, the activity (avalanche) probability distributions appear to coincide with the one of the standard self-organized critical sandpile.

Item Type: Article
Identification Number: 10.1103/PhysRevLett.80.4217
Additional Information: © 1998 American Physical Society
Uncontrolled Keywords: PACS: 64.60.Lx, 05.40.+j, 05.70.Ln, 46.10.+z
Subjects: Q Science > QC Physics
Research Area: Economics and Institutional Change
Depositing User: Ms T. Iannizzi
Date Deposited: 06 Nov 2013 10:56
Last Modified: 05 Dec 2014 09:45
URI: http://eprints.imtlucca.it/id/eprint/1870

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