Universal finite-size scaling behavior and universal dynamical scaling behavior of absorbing phase transitions with a conserved field.

We analyze numerically three different models exhibiting an absorbing phase transition. We focus on the finite-size scaling as well as the dynamical scaling behavior. An accurate determination of several critical exponents allows one to validate certain hyperscaling relations. Using these hyperscaling relations it is possible to express the avalanche exponents of a self-organized critical system in terms of the ordinary exponents of a continuous absorbing phase transition.

• Publication year

  2003

• Venue

  Physical review. E, Statistical, nonlinear, and soft matter physics

• Publication date

  2003-09-06

• Fields of study

  Medicine, Physics, Mathematics

• Identifiers
  DOI 10.1103/PhysRevE.68.056102arXiv cond-mat/0309165PMID 14682841
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

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