The theory of large deviations: from Boltzmann’s 1877 calculation to equilibrium macrostates in 2D turbulence
نویسنده
چکیده
After presenting some basic ideas in the theory of large deviations, this paper applies the theory to a number of problems in statistical mechanics. These include deriving the form of the Gibbs state for a discrete ideal gas; describing probabilistically the phase transition in the Curie–Weiss model of a ferromagnet; and deriving variational formulas that describe the equilibrium macrostates in models of two-dimensional turbulence. A general approach to the large deviation analysis of models in statistical mechanics is also formulated. ©1999 Elsevier Science B.V. All rights reserved.
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