title: Asymptotics of superstatistics.
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.
authors.affiliation: School of Mathematical Sciences, Queen Mary, University of London, London E1 4NS, United Kingdom. htouchet@alum.mit.edu
authors.forename: Hugo
authors.initials: H
authors.lastname: Touchette
authors.forename: Christian
authors.initials: C
authors.lastname: Beck