Abstract
In statistical mechanics the problem of the equivalence of ensembles goes back to Boltzmann and Gibbs. Here it is the problem of proving that, in the thermodynamic limit, the microcanonical measures and the grand canonical measures are equivalent; making precise the meaning of “equivalent” is part of the problem. It is commonly believed that in good statistical mechanical models such an equivalence holds, even in the presence of a phase-transition. On the other hand, it is believed that equivalence of ensembles fails in mean-field models such as the Curie-Weiss model.
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© 1994 Springer Science+Business Media New York
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Lewis, J.T., Pfister, CE., Sullivan, W.G. (1994). Large Deviations and the Thermodynamic Formalism: A New Proof of the Equivalence of Ensembles. In: Fannes, M., Maes, C., Verbeure, A. (eds) On Three Levels. NATO ASI Series, vol 324. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-2460-1_19
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DOI: https://doi.org/10.1007/978-1-4615-2460-1_19
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