Asymptotics of superstatistics

Details Asymptotics of superstatistics Asymptotics of superstatistics

2004-08-04

arxiv.org/abs/cond-mat/0408091v2

Phys. Rev. E 71, 016131, 2005

Physics

Condensed Matter

Statistical Mechanics

Published version, few typos corrected, 7 pages, 1 figure, RevTeX4

Scientific paper

10.1103/PhysRevE.71.016131

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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