Abstract
In this article, a large deviation principle (cf. Theorem 1.3) for the empirical distribution functional is applied to prove a rather general version of Boltzmann's principle (cf. Theorem 3.5) for models with shift-invariant, finite range potentials. The final section contains an application of these considerations to the two dimensional Ising model at sub-critical temperature.
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Communicated by A. Jaffe
The first two authors acknowledge support from, respectively, the grants NSF DMS-8802667 and NSF DMS-8913328 & DAAL 03-86-K-0171
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Deuschel, JD., Stroock, D.W. & Zessin, H. Microcanonical distributions for lattice gases. Commun.Math. Phys. 139, 83–101 (1991). https://doi.org/10.1007/BF02102730
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DOI: https://doi.org/10.1007/BF02102730