
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
Statistical Mechanics (cond-mat.stat-mech), GENERALIZED STATISTICAL-MECHANICS, DISTRIBUTIONS, TURBULENCE, FOS: Physical sciences, Disordered Systems and Neural Networks (cond-mat.dis-nn), Condensed Matter - Disordered Systems and Neural Networks, TEMPERATURE, Condensed Matter - Statistical Mechanics
Statistical Mechanics (cond-mat.stat-mech), GENERALIZED STATISTICAL-MECHANICS, DISTRIBUTIONS, TURBULENCE, FOS: Physical sciences, Disordered Systems and Neural Networks (cond-mat.dis-nn), Condensed Matter - Disordered Systems and Neural Networks, TEMPERATURE, Condensed Matter - Statistical Mechanics
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