Branching annihilating random walks with parity conservation on a square lattice

G. Szabó, Maria Augusta Santos

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

Using Monte Carlo simulations we have studied the transition from an "active" steady state to an absorbing "inactive" state for two versions of the branching annihilating random walks with parity conservation on a square lattice. In the first model the randomly walking particles annihilate when they meet and the branching process creates two additional particles; in the second case we distinguish particles and antiparticles created and annihilated in pairs. Quite distinct critical behavior is found in the two cases, raising the question of what determines universality in these kinds of systems.

Original languageEnglish
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume59
Issue number3 PART A
Publication statusPublished - Mar 1999

Fingerprint

Branching Random Walk
random walk
Square Lattice
Parity
Conservation
conservation
parity
antiparticles
walking
Branching process
Critical Behavior
Absorbing
Universality
Monte Carlo Simulation
Distinct
simulation
Model

ASJC Scopus subject areas

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

Cite this

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