Canonical Distributions and Phase Transitions
نویسنده
چکیده
Entropy maximization subject to known expected values is extended to the case where the random variables involved may take on positive infinite values. As a result, an arbitrary probability distribution on a finite set may be realized as a canonical distribution. The Rényi entropy of the distribution arises as a natural by-product of this realization. Starting with the uniform distribution on a proper subset of a set, the canonical distribution of equilibrium statistical mechanics may be used to exhibit an elementary phase transition, characterized by discontinuity of the partition function.
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