Critical exponents of the anisotropic Bak-Sneppen model

Sergei Maslov, Paolo De Los Rios, Matteo Marsili, Yi Cheng Zhang

Research output: Contribution to journalArticlepeer-review

Abstract

We analyze the behavior of the spatially anisotropic Bak-Sneppen model. We demonstrate that a nontrivial relation between critical exponents [Formula Presented] and [Formula Presented] recently derived for the isotropic Bak-Sneppen model, holds for its anisotropic version as well. For the one-dimensional anisotropic Bak-Sneppen model, we derive an exact equation for the distribution of avalanche spatial sizes, and extract the value [Formula Presented] for one of the critical exponents of the model. Other critical exponents are then determined from previously known exponent relations. Our results are in excellent agreement with Monte Carlo simulations of the model as well as with direct numerical integration of the new equation.

Original languageEnglish (US)
Pages (from-to)7141-7145
Number of pages5
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume58
Issue number6
DOIs
StatePublished - 1998
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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