A classification of nonequilibrium steady states based on temperature correlations

Sergio Davis

Physica A: Statistical Mechanics and its Applications, 2022, vol. 608, issue P1

Abstract: Although generalized ensembles have now been in use in statistical mechanics for decades, including frameworks such as Tsallis’ nonextensive statistics and superstatistics, a classification of these generalized ensembles outlining the boundaries of validity of different families of models, is still lacking. In this work, such a classification is proposed in terms of supercanonical and subcanonical ensembles, according to a newly defined parameter, the inverse temperature covariance parameter U. This parameter is non-negative in superstatistics (and is equal to the variance of the inverse temperature) but can be negative for other families of statistical ensembles, acquiring then a broader meaning. It is shown that U is equal for every region of a composite system in a steady state, and examples are given of supercanonical and subcanonical states.

Keywords: Superstatistics; Nonequilibrium; Temperature correlations (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:608:y:2022:i:p1:s037843712200807x

DOI: 10.1016/j.physa.2022.128249

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