Energy Constrained Sandpile Models

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. [S0031-9007(98)06024-4]

• Publication year

  1997

• Venue

  Physical Review Letters

• Publication date

  1997-12-11

• Fields of study

  Mathematics, Physics

• Identifiers
  DOI 10.1103/PhysRevLett.80.4217arXiv cond-mat/9712127
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

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• No concepts are published for this paper.

• NATO Advanced Study Institute.

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