Multispecies annihilating random walk transition at zero branching rate: Cluster scaling behavior in a spin model

Nóra Menyhárd, Géza Ódor

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10 Citations (Scopus)

Abstract

The numerical and theoretical studies of a one-dimensional spin model with locally broken spin symmetry were presented. The multispecies annihilating random walk transition found a zero branching rate was analyzed. The generic power-law behaviors were found besides the phase transition point. Analysis shows that the the hyperscaling law was satisfied in the form known for compact directed percolation.

Original languageEnglish
Article number056106
Pages (from-to)561061-561066
Number of pages6
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume68
Issue number5 2
Publication statusPublished - Nov 1 2003

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ASJC Scopus subject areas

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

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