Energy Constrained Sandpile Models

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Energy Constrained Sandpile Models

Alessandro Chessa,1,2 Enzo Marinari,1,3 and Alessandro Vespignani4 1Dipartimento di Fisica, Università di Cagliari, Via Ospedale 72, 09124 Cagliari, Italy 2Istituto Nazionale di Fisica della Materia (INFM), Sezione di Cagliari, Italy 3Istituto Nazionale di Fisica Nucleare (INFN), Sezione di Cagliari, Italy 4International Center for Theoretical Physics (ICTP), P.O. Box 586, 34100 Trieste, Italy ...

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Universality in sandpile models.

A new classification of sandpile models into universality classes is presented. On the basis of extensive numerical simulations, in which we measure an extended set of exponents, the Manna two state model [S. S. Manna, J. Phys. A 24, L363 (1991)] is found to belong to a universality class of random neighbor models which is distinct from the universality class of the original model of Bak, Tang ...

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Asymmetric Abelian Sandpile Models

In the Abelian sandpile models introduced by Dhar, long-time behavior is determined by an invariant measure supported uniformly on a set of implicitly defined recurrent configurations of the system. Dhar proposed a simple procedure, the burning algorithm, as a possible test of whether a configuration is recurrent, and later with Majumdar verified the correctness of this test when the toppling r...

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Directed fixed energy sandpile model.

We numerically study the directed version of the fixed energy sandpile. On a closed square lattice, the dynamical evolution of a fixed density of sand grains is studied. The activity of the system shows a continuous phase transition around a critical density. While the deterministic version has the set of nontrivial exponents, the stochastic model is characterized by mean field like exponents.

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Two-component Abelian sandpile models.

In one-component Abelian sandpile models, the toppling probabilities are independent quantities. This is not the case in multicomponent models. The condition of associativity of the underlying Abelian algebras imposes nonlinear relations among the toppling probabilities. These relations are derived for the case of two-component quadratic Abelian algebras. We show that Abelian sandpile models wi...

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ژورنال

عنوان ژورنال: Physical Review Letters

سال: 1998

ISSN: 0031-9007,1079-7114

DOI: 10.1103/physrevlett.80.4217