Asymptotics of superstatistics
统计力学
2007-05-23 v2
摘要
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.
引用
@article{arxiv.cond-mat/0408091,
title = {Asymptotics of superstatistics},
author = {Hugo Touchette and Christian Beck},
journal= {arXiv preprint arXiv:cond-mat/0408091},
year = {2007}
}
备注
Published version, few typos corrected, 7 pages, 1 figure, RevTeX4