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Asymptotics of superstatistics

Hugo Touchette·Christian Beck
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Abstract

Superstatistics are superpositions of different statistics relevant for driven nonequilibrium systems with spatiotemporal inhomogeneities of an intensive variable (e.g., the inverse temperature). They contain Tsallis statistics as a special case. We develop here a technique that allows us to analyze the large energy asymptotics of the stationary distributions of general superstatistics. A saddle-point approximation is developed which relates this problem to a variational principle. Several examples are worked out in detail.

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Hugo Touchette, Christian Beck. 2005-01-26. Asymptotics of superstatistics. https://doi.org/10.1103/physreve.71.016131

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