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Physical Review E
Article
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Physical Review E
Article . 2007 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
Article . 2007
License: arXiv Non-Exclusive Distribution
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Superstatistics, thermodynamics, and fluctuations

Authors: Abe, S; Beck, C; Cohen, EGD;

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

Country
United Kingdom
Related Organizations
Keywords

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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    selected citations
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    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    108
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
108
Top 10%
Top 10%
Top 10%
Green
bronze