Phase transition of a two-dimensional binary spreading model

G. Ódor, M. C. Marques, M. A. Santos

Research output: Contribution to journalArticle

33 Citations (Scopus)

Abstract

We investigated the phase transition behavior of a binary spreading process in two dimensions for different particle diffusion strengths (D), We found that N>2 cluster mean-field approximations must be considered to get consistent singular behavior. The D=3,4 approximations result in a continuous phase transition belonging to a single universality class along the D ∈ (0,1) phase transition line. Large scale simulations of the particle density confirmed mean-field scaling behavior with logarithmic corrections. This is interpreted as numerical evidence supporting the bosonic field theoretical prediction that the upper critical dimension in this model is dc=2. The pair density scales in a similar way but with an additional logarithmic factor to the order parameter. At the D = 0 end point of the transition line we found directed percolation criticality.

Original languageEnglish
Article number056113
Pages (from-to)056113/1-056113/7
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume65
Issue number5
DOIs
Publication statusPublished - May 1 2002

ASJC Scopus subject areas

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

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