Beck superstatistical systems Generalized statistical mechanics for
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Generalized statistical mechanics for superstatistical systems.
Mesoscopic systems in a slowly fluctuating environment are often well described by superstatistical models. We develop a generalized statistical mechanics formalism for superstatistical systems, by mapping the superstatistical complex system onto a system of ordinary statistical mechanics with modified energy levels. We also briefly review recent examples of applications of the superstatistics ...
متن کاملGeneralization of the Beck-Cohen superstatistics.
Generalized superstatistics, i.e., a "statistics of superstatistics," is proposed. A generalized superstatistical system comprises a set of superstatistical subsystems and represents a generalized hyperensemble. There exists a random control parameter that determines both the density of energy states and the distribution of the intensive parameter for each superstatistical subsystem, thereby fo...
متن کاملEPJ A Hadrons and Nuclei
We work out a superstatistical description of high-energy scattering processes that takes into account temperature fluctuations in small-volume elements. For Γ -distributed fluctuations of the inverse temperature one effectively obtains a generalized statistical mechanics of Tsallis type, whereas for other temperature distributions more general superstatistical models arise. We consider two mai...
متن کاملSuperstatistical distributions from a maximum entropy principle.
We deal with a generalized statistical description of nonequilibrium complex systems based on least biased distributions given some prior information. A maximum entropy principle is introduced that allows for the determination of the distribution of the fluctuating intensive parameter beta of a superstatistical system, given certain constraints on the complex system under consideration. We appl...
متن کاملSuperstatistics, escort distributions, and applications
Superpositions of different statistics on different time or spatial scales (in short, superstatistics) can naturally lead to an effective description by nonextensive statistical mechanics. We first discuss the role of escort distributions within the superstatistical framework, and then briefly describe recent physical applications of this concept to turbulent and patttern forming systems.
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