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

Abstract

Numerical and theoretical studies of a one-dimensional spin model with locally broken spin symmetry are presented. The multispecies annihilating random walk transition found at zero branching rate previously is investigated now concerning the cluster behavior of the underlying spins. Generic power-law behaviors are found, besides the phase transition point, also in the active phase with fulfillment of the hyperscaling law. On the other hand scaling laws connecting bulk and cluster exponents are broken—a possibility in no contradiction with basic scaling assumptions because of the missing absorbing phase.

Original languageEnglish
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume68
Issue number5
DOIs
Publication statusPublished - Jan 1 2003

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Spin Models
Scaling Behavior
random walk
Branching
Random walk
scaling
Zero
Scaling Laws
One-dimensional Model
Absorbing
Power Law
Phase Transition
Exponent
Scaling
transition points
Symmetry
scaling laws
exponents
symmetry

ASJC Scopus subject areas

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

Cite this

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