Role of diffusion in branching and annihilation random walk models

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

Various branching and annihilating random walk models were investigated using the cluster mean-field method and simulations in one and two dimensions. It was observed that in the case of the A→2A, 2A→φ model the cluster mean-field depended on diffusion in the phase diagram. Simulations of the A→2A, 4A→φ model confirmed the presence of both the directed percolation transition branching rates and the mean-field transition at zero branching rate. The results show that in two dimensions the directed percolation transition disappears for strong diffusion rates.

Original languageEnglish
Article number066122
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume70
Issue number6 2
DOIs
Publication statusPublished - Dec 2004

Fingerprint

Annihilation
random walk
Mean Field
Branching
Random walk
Directed Percolation
Two Dimensions
One Dimension
Phase Diagram
Simulation
simulation
phase diagrams
Model
Zero

ASJC Scopus subject areas

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

Cite this

Role of diffusion in branching and annihilation random walk models. / Ódor, G.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 70, No. 6 2, 066122, 12.2004.

Research output: Contribution to journalArticle

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