2002/11/05 by F. W. S. Lima, Lima, F. W. S., R. N. Costa Filho +4
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Markov Chains and Monte Carlo Methods #Statistical Mechanics (cond-mat.stat-mech) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.cond-mat/0211097
3 pages, 3 Figures
arxiv created 2002/11/05 · openalex publication_date 2002/11/05 · arxiv updated 2009/11/30 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28
The zero-temperature Glauber dynamic is used to investigate the persistence\nprobability P(t) in the randomic two-dimensional ferromagnetic Ising model on\na Voronoi-Delaunay tessellation. We consider the coupling factor J varying\nwith the distance r between the first neighbors to be J(r) \∝≠-\α r, with \α \≥ 0. The persistence probability of spins flip,\nthat does not depends on time t, is found to decay to a non-zero value\nP(\∞) depending on the parameter \α. Nevertheless, the quantity\np(t)=P(t)-P(\∞) decays exponentially to zero over long times.\nFurthermore, the fraction of spins that do not change at a time t is a\nmonotonically increasing function of the parameter \α. Our results are\nconsistent with the ones obtained for the diluted ferromagnetic Ising model on\na square lattice.\n