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arXiv 2004-08-04 DOI 10.1103/PhysRevE.71.016131 2 views

Asymptotics of superstatistics

Touchette, Hugo · Beck, Christian

Original · EN

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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