TL;DR
This paper explores how nonequilibrium systems with large fluctuations in intensive quantities can be described by various generalized statistical mechanics frameworks, including Tsallis statistics, revealing universal behavior for small fluctuation variances.
Contribution
It demonstrates that different generalized statistics emerge depending on fluctuation properties and shows their universal behavior in the small variance limit.
Findings
Different effective statistics depend on fluctuation properties
Tsallis and other generalized statistics are derived
Universal behavior observed for small fluctuation variance
Abstract
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.
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