One-dimensional non-equilibrium kinetic Ising models with branching annihilating random walk

1994/07/13 by N Menyhard, Nora Menyhárd · 5 citations
Mathematics · Physics and Astronomy · #Opinion Dynamics and Social Influence #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat

paper · pdf · doi:10.1088/0305-4470/27/18/022

10 pages, Latex, figures upon request, SZFKI 05/94

arxiv created 1994/07/13 · openalex publication_date 1994/09/21 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

Non-equilibrium kinetic Ising models evolving under the competing effect of spin flips at zero temperature and nearest-neighbour spin exchanges at T= infinity are investigated numerically from the point of view of a phase transition. The branching annihilating random walk of the ferromagnetic domain boundaries determines the steady state of the system for a range of parameters of the model. Critical exponents obtained by simulation are found to agree, within error, with those in Grassberger's cellular automata.

Citations

• Equation of State Calculations by Fast Computing Machines

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