Confirming and extending the hypothesis of universality in sandpiles

Juan A. Bonachela, Miguel A. Muñoz

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

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 claimed to be in the DP class despite the existence of a conservation law. We show, by means of careful numerical simulations as well as by constructing and analyzing a field theory, that (contrarily to what was previously thought) this sandpile is also in the C-DP or Manna class. This confirms the hypothesis of universality for stochastic sandpiles and gives rise to a fully coherent picture of self-organized criticality in systems with conservation. In passing, we obtain a number of results for the C-DP class and introduce a strategy to easily discriminate between DP and C-DP scaling.

LanguageEnglish
Article number041102
Number of pages8
JournalPhysical Review E
Volume78
Issue number4
DOIs
Publication statusPublished - 1 Oct 2008

Fingerprint

Sandpiles
Directed Percolation
Universality
conservation laws
Conservation Laws
scaling
Self-organized Criticality
Scaling Behavior
Absorbing
Field Theory
Exception
Automata
Conservation
conservation
Critical point
critical point
Scaling
Numerical Simulation
Class

Keywords

  • stochastic sandpiles
  • scaling behavior
  • sandpile automaton

Cite this

Bonachela, Juan A. ; Muñoz, Miguel A. / Confirming and extending the hypothesis of universality in sandpiles. In: Physical Review E. 2008 ; Vol. 78, No. 4.
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Confirming and extending the hypothesis of universality in sandpiles. / Bonachela, Juan A.; Muñoz, Miguel A.

In: Physical Review E, Vol. 78, No. 4, 041102, 01.10.2008.

Research output: Contribution to journalArticle

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