Universality in sandpile models

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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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Universality classes in directed sandpile models

We perform large-scale numerical simulations of a directed version of the two-state stochastic sandpile model. Numerical results show that this stochastic model defines a new universality class with respect to the Abelian directed sandpile. The physical origin of the different critical behaviour has to be ascribed to the presence of multiple topplings in the stochastic model. These results prov...

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Universality Classes in Isotropic, Abelian and non-Abelian, Sandpile Models

Universality in isotropic, abelian and non-abelian, sandpile models is examined using extensive numerical simulations. To characterize the critical behavior we employ an extended set of critical exponents, geometric features of the avalanches, as well as scaling functions describing the time evolution of average quantities such as the area and size during the avalanche. Comparing between the ab...

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Symmetries and Universality Classes in Conservative Sandpile Models

The symmetry properties which determine the critical exponents and universality classes in conservative sandpile models are identified. This is done by introducing a set of models, including all possible combinations of abelian vs. non-abelian, deterministic vs. stochastic and isotropic vs. anisotropic toppling rules. The universality classes are determined by an extended set of critical expone...

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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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ژورنال

عنوان ژورنال: Physical Review E

سال: 1996

ISSN: 1063-651X,1095-3787

DOI: 10.1103/physreve.53.r1317