Asymptotic behaviour of the critical value for the contact process with\n rapid stirring

2012/07/21 by Leonid Mytnik, Mytnik, Leonid, Roman Berezin +1
Computer Science · Mathematics · Physics and Astronomy · #Advanced Mathematical Modeling in Engineering #FOS: Mathematics #Markov Chains and Monte Carlo Methods #Primary 82C22 60K35 #Probability (math.PR) #Secondary 60J80 #Stochastic processes and statistical mechanics #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.1207.5185

openalex publication_date 2012/07/21 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28

Abstract

We study the behaviour of the contact process with rapid stirring on the\nlattice Z^d in dimensions d\≥ 3. This process was studied earlier by\nKonno and Katori, who proved results for the speed of convergence of the\ncritical value as the rate of stirring approaches infinity. %Katori has\nimproved the result of Katori in d\≥ 3 and has produced an interval where\nthe critical value must lie.\n In this article we improve the results of Konno and Kattori and establish the\nsharp asymptotics of the critical value in dimensions d\≥ 3.\n

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