Closure of superstatistics
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908449210630144 |
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| author | Davis, Sergio |
| author_facet | Davis, Sergio |
| contents | Plasmas and other systems with long-range interactions are commonly found in non-equilibrium steady states that are outside traditional Boltzmann-Gibbs statistics, but can be described using generalized statistical mechanics frameworks such as superstatistics, where steady states are treated as superpositions of canonical ensembles under a temperature distribution. In this work we solve the problem of inferring the possible steady states of a composite system $AB$ where subsystem $A$ is described by superstatistics and $E_{AB} = E_A + E_B$. Our result establishes a closure property of superstatistics, namely that $A$ is described by superstatistics if and only if $AB$ and $B$ are also superstatistical with the same temperature distribution. Some consequences of this result are discussed, such as the impossibility of local thermal equilibrium (LTE) for additive subsystems in non-canonical steady states. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_10517 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Closure of superstatistics Davis, Sergio Statistical Mechanics Plasmas and other systems with long-range interactions are commonly found in non-equilibrium steady states that are outside traditional Boltzmann-Gibbs statistics, but can be described using generalized statistical mechanics frameworks such as superstatistics, where steady states are treated as superpositions of canonical ensembles under a temperature distribution. In this work we solve the problem of inferring the possible steady states of a composite system $AB$ where subsystem $A$ is described by superstatistics and $E_{AB} = E_A + E_B$. Our result establishes a closure property of superstatistics, namely that $A$ is described by superstatistics if and only if $AB$ and $B$ are also superstatistical with the same temperature distribution. Some consequences of this result are discussed, such as the impossibility of local thermal equilibrium (LTE) for additive subsystems in non-canonical steady states. |
| title | Closure of superstatistics |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2507.10517 |