DRIVING, CONSERVATION, AND ABSORBING STATES IN SANDPILES

We use a phenomenological field theory, reflecting the symmetries and conservation laws of sandpiles, to compare the driven dissipative sandpile, widely studied in the context of self-organized criticality, with the corresponding fixed-energy model. The latter displays an absorbing-state phase transition with upper critical dimension $d_c=4$. We show that the driven model exhibits a fundamentally different approach to the critical point, and compute a subset of critical exponents. We present numerical simulations in support of our theoretical predictions.

• Publication year

  1998

• Venue

  Physical Review Letters

• Publication date

  1998-06-21

• Fields of study

  Physics

• Identifiers
  DOI 10.1103/PhysRevLett.81.5676arXiv cond-mat/9806249
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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