Phase transition classes in triplet and quadruplet reaction-diffusion models

Research output: Contribution to journalArticle

28 Citations (Scopus)

Abstract

The phase transitions of general nA→(n+k)A, mA→(m-l)A reaction type of models with explicit single particle diffusion on occupation number restricted lattices in one and two dimensions were investigated. It was shown that the mean-field solution for n=m symmetric cases results in universality classes characterized by the exponents α=1/n and β=1. The upper critical dimensions were determined for the triplet and quadruplet cases by simulations.

Original languageEnglish
Article number056114
Pages (from-to)056114/1-056114/8
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume67
Issue number5 2
Publication statusPublished - May 1 2003

    Fingerprint

ASJC Scopus subject areas

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

Cite this