Scaling theory of depinning in the Sneppen model

Sergei Maslov, Maya Paczuski

Research output: Contribution to journalArticlepeer-review

Abstract

We develop a scaling theory for the critical depinning behavior of the Sneppen interface model [Phys. Rev. Lett. 69, 3539 (1992)]. This theory is based on a ''gap'' equation that describes the self-organization process to a critical state of the depinning transition. All of the critical exponents can be expressed in terms of two independent exponents, ν(d) and ν(d), characterizing the divergence of the parallel and perpendicular correlation lengths as the interface approaches its dynamical attractor.

Original languageEnglish (US)
Pages (from-to)R643-R646
JournalPhysical Review E
Volume50
Issue number2
DOIs
StatePublished - Jan 1 1994
Externally publishedYes

ASJC Scopus subject areas

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

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