Fundamental temperature exclusively determines the validity of superstatistics
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866910919656734720 |
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| author | Farías, Constanza Davis, Sergio |
| author_facet | Farías, Constanza Davis, Sergio |
| contents | The theory of superstatistics is a generalization of Boltzmann-Gibbs statistical mechanics which admits temperature fluctuations, and generates non-canonical ensembles from the distribution function of these fluctuations. Recently, some results have been presented showing that superstatistics is not universally applicable, but several conditions on the so-called fundamental inverse temperature function $β_F$ must be met by any superstatistical model. In this work we provide a set of neccessary and sufficient conditions for a non-equilibrium steady state model to be expressible by superstatistics, showing that $β_F$ by itself determines the existence of a superstatistical distribution of temperature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_04283 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Fundamental temperature exclusively determines the validity of superstatistics Farías, Constanza Davis, Sergio Statistical Mechanics Mathematical Physics The theory of superstatistics is a generalization of Boltzmann-Gibbs statistical mechanics which admits temperature fluctuations, and generates non-canonical ensembles from the distribution function of these fluctuations. Recently, some results have been presented showing that superstatistics is not universally applicable, but several conditions on the so-called fundamental inverse temperature function $β_F$ must be met by any superstatistical model. In this work we provide a set of neccessary and sufficient conditions for a non-equilibrium steady state model to be expressible by superstatistics, showing that $β_F$ by itself determines the existence of a superstatistical distribution of temperature. |
| title | Fundamental temperature exclusively determines the validity of superstatistics |
| topic | Statistical Mechanics Mathematical Physics |
| url | https://arxiv.org/abs/2312.04283 |