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

Nóra Menyhárd, G. Ódor

Research output: Contribution to journalArticle

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 2003

Fingerprint

Directed Percolation
Spin Models
Scaling Behavior
One-dimensional Model
random walk
Branching
Random walk
Power Law
Phase Transition
Symmetry
scaling
Zero
transition points
symmetry
Form

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Multispecies annihilating random walk transition at zero branching rate : Cluster scaling behavior in a spin model. / Menyhárd, Nóra; Ódor, G.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 68, No. 5 2, 056106, 11.2003, p. 561061-561066.

Research output: Contribution to journalArticle

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