Large Deviation Behavior of Statistical Mechanics Models in the Multiphase Regime

R. L. Dobrushin and S. B. Shlosman
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R. L. Dobrushin: Institute for Problems of Information Transmission
S. B. Shlosman: Institute for Problems of Information Transmission

A chapter in Mathematical Physics X, 1992, pp 328-332 from Springer

Abstract: Abstract The theory of large deviations was initiated by the study of the asymptotical behavior of probabilities of large deviations of sums of n identically distributed independent random variables. In this case the logarithms of the probabilities are asymptotically equal to -nI, where I is a constant which can be defined by a minimization of the so-called action functional. The theory of large deviations is now a well-developed branch of the probability theory (see the books [1], [2] for example) devoted mainly to generalization of the mentioned asymptotics to wide classes of random processes. Also these types of results were recently generalized on a wide class of Gibbsian random fields (see [3], [4]).

Keywords: Partition Function; Ising Model; Statistical Mechanics Model; Coarse Partition; Dimensional Ising Model (search for similar items in EconPapers)
Date: 1992
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DOI: 10.1007/978-3-642-77303-7_31

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