Asymptotic Behaviour of the Critical Value for the Contact Process with Rapid Stirring
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We study the behaviour of the contact process with rapid stirring on the lattice \(\mathbb Z ^d\) in dimensions \(d\ge 3.\) This process was studied earlier by Konno and Katori, who proved results for the speed of convergence of the critical value as the rate of stirring approaches infinity. In this article we improve the results of Konno and Katori and establish the sharp asymptotics of the critical value in dimensions \(d\ge 3.\)
KeywordsAsymptotic behaviour Contact processes Rapid stirring Interacting particle systems
Mathematics Subject Classification (2010)Primary 82C22 60K35 Secondary 60J80
Both authors thank an anonymous referee for the careful reading of the manuscript and for a number of useful comments and suggestions that improved the exposition. Supported by the ISF grant 497/10.
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