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Transition probabilities and stochastic equations for the mean field ising model
Authors:W. M. Zheng  W. C. Schieve
Affiliation:(1) Center for Studies in Statistical Mechanics, University of Texas at Austin, 78712 Austin, Texas
Abstract:The microscopic transition rate is briefly calculated from quantum principles to derive the microscopic master equation. By introducing taup, the phenomenological time, and coarse graining Wp, the transition rate, a complete normalized phenomenological transition rate is obtained. The Langer form is then approximately obtained.Supported in part by the Robert A. Welch Foundation.On leave of absence from the Institute of Theoretical Physics, Academia Sinica, Beijing, China.
Keywords:Stochastic dynamics  mean field Ising model  Langer's transition rate
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