Universality in sandpiles

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Universality in sandpiles

Alessandro Chessa, H. Eugene Stanley, Alessandro Vespignani, and Stefano Zapperi Dipartimento di Fisica and Unitá INFM, Universitá di Cagliari, Via Ospedale 72, 09124 Cagliari, Italy Center for Polymer Studies and Department of Physics, Boston University, Boston, Massachusetts 02215 The Abdus Salam International Centre for Theoretical Physics (ICTP), P.O. Box 586, 34100 Trieste, Italy PMMH-ESPC...

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Confirming and extending the hypothesis of universality in sandpiles.

Stochastic sandpiles self-organize to an absorbing-state critical point with scaling behavior different from directed percolation (DP) and characterized by the presence of an additional conservation law. This is usually called the C-DP or Manna universality class. There remains, however, an exception to this universality principle: a sandpile automaton introduced by Maslov and Zhang, which was ...

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Universality in Sandpiles, Interface Depinning, and Earthquake Models.

Recent numerical results for a model describing dispersive transport in ricepiles are explained by mapping the model to the depinning transition of an elastic interface that is dragged at one end through a random medium. The average velocity of transport vanishes with system size L as kyl , L22D , L20.23, and the avalanche size distribution exponent t ­ 2 2 1yD . 1.55, where D . 2.23 from inter...

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Sticky grains do not change the universality class of isotropic sandpiles.

We revisit the sandpile model with "sticky" grains introduced by Mohanty and Dhar [Phys. Rev. Lett. 89, 104303 (2002)] whose scaling properties were claimed to be generically in the universality class of directed percolation for both isotropic and directed models. While for directed models this conclusion is unquestionable, for isotropic models we present strong evidence that the asymptotic sca...

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Ladder Sandpiles

We study Abelian sandpiles on graphs of the form G×I, where G is an arbitrary finite connected graph, and I ⊂ Z is a finite interval. We show that for any fixed G with at least two vertices, the stationary measures μI = μG×I have two extremal weak limit points as I ↑ Z. The extremal limits are the only ergodic measures of maximum entropy on the set of infinite recurrent configurations. We show ...

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ژورنال

عنوان ژورنال: Physical Review E

سال: 1999

ISSN: 1063-651X,1095-3787

DOI: 10.1103/physreve.59.r12