Superstatistics, thermodynamics, and fluctuations

Abstract

A thermodynamic-like formalism is developed for superstatistical systems based on conditional entropies. This theory takes into account large-scale variations of intensive variables of systems in nonequilibrium stationary states. Ordinary thermodynamics is recovered as a special case of the present theory, and corrections to it can be systematically evaluated. A generalization of Einstein's relation for fluctuations is presented using a maximum entropy condition.

16 pages, no figures. The title changed, some explanations and references added. Accepted for publication in Phys. Rev. E

References in corpus (5)

• Asymptotics of superstatistics
• Defect turbulence and generalized statistical mechanics
• Statistics of 3-dimensional Lagrangian turbulence
• Intensity Thresholds and the Statistics of the Temporal Occurrence of Solar Flares
• Superstatistics in random matrix theory

Cited by in corpus (6)

• Superstatistics in high energy physics: Application to cosmic ray energy spectra and e+e- annihilation
• Superstatistical distributions from a maximum entropy principle
• A long-range memory stochastic model of the return in financial markets
• On superstatistical multiplicative-noise processes
• Statistical mixing and aggregation in Feller diffusion
• Two-time Green's functions and spectral density method in nonextensive quantum statistical mechanics