1997/11/15 by Martin Howard, M. Howard, C. Godreche +1 · 2 citations
Mathematics · Physics and Astronomy · #Complex Network Analysis Techniques #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech
paper · pdf · doi:10.1088/0305-4470/31/11/001
10 pages, 3 figures, Latex, submitted to J. Phys. A (letters)
arxiv created 1997/11/15 · openalex publication_date 1998/03/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
We investigate the persistence probability in the Voter model for dimensions . This is achieved by mapping the Voter model onto a continuum reaction-diffusion system. Using path-integral methods, we compute the persistence probability , where q is the number of `opinions' in the original Voter model. We find in d = 2; for 2<d<4 ; in d = 4; and for d>4 . The results of our analysis are checked by Monte Carlo simulations.