Superstatistics

By C. Beck, E.G.D. Cohen. 2002

404 citations recorded by the source corpus.

We consider nonequilibrium systems with complex dynamics in stationary states with large fluctuations of intensive quantities (e.g. the temperature, chemical potential, or energy dissipation) on long time scales. Depending on the statistical properties of the fluctuations, we obtain different effective statistical mechanics descriptions. Tsallis statistics is one, but other classes of generalized statistics are obtained as well. We show that for small variance of the fluctuations all these different statistics behave in a universal way.

Subfields: Economics and Econometrics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/92f46194c495fd7ffc80a87736e170aa050dd311

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In Statistical and Nonlinear Physics

Citations in the corpus

Pathway model, superstatistics, Tsallis statistics, and a generalized measure of entropy (2006, methodology): “Beck and Cohen’s superstatistics belong to this case (2) (Beck and Cohen, 2003; Beck, 2006).”
Zipf’s Law Arises Naturally When There Are Underlying, Unobserved Variables (2016, neutral): “Recently, Schwab et al. [19] showed that a relatively broad class of models for high-dimensional data, a generalization of a so-called superstatistical latent variable model [26], can give rise to Zipf’s law.”
Generalised information and entropy measures in physics (2009, background): “This is the basic idea underlying so-called superstatistical models [12]: one does a kind of generalised statistical mechanics where the inverse temperature b is a random variable as well.”