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Canonical distributions and phase transitions

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Athreya K., Smith J.

Discussiones Mathematicae Probability and Statistics

2000

tom 20

nr 2

167-176

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 distributionon a proper subset of a set, the canonical distribution of equilibriumstatistical mechanics may be used to exhibit an elementary phase transition, characterized by discontinuity of the partition function.

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1 Discussiones Mathematicae Probability and Statistics

1 Athreya K.

1 Smith J.

1 2000

Wyniki wyszukiwania

Canonical distributions and phase transitions