Non-extensive entropy of Vinen quantum turbulence
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arXiv
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866914509134757888 |
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| author | Volovik, G. E. |
| author_facet | Volovik, G. E. |
| contents | In Ref. [1] the statistical structure of the turbulent cascade in the context of non-additive entropy was considered. Here we suggest that the vortex line ensemble in the Vinen quantum turbulence in superfluids is described by the non-extensive Tsallis-Cirto statistics with $δ=3$. This in particular leads to the temperature, which describes the thermodynamics of the Vinen ensemble, $T\sim mv^2$, where $v$ is the velocity of the flow and $m$ is the mass of the atom of the superfluid liquid. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_19478 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Non-extensive entropy of Vinen quantum turbulence Volovik, G. E. Statistical Mechanics General Relativity and Quantum Cosmology In Ref. [1] the statistical structure of the turbulent cascade in the context of non-additive entropy was considered. Here we suggest that the vortex line ensemble in the Vinen quantum turbulence in superfluids is described by the non-extensive Tsallis-Cirto statistics with $δ=3$. This in particular leads to the temperature, which describes the thermodynamics of the Vinen ensemble, $T\sim mv^2$, where $v$ is the velocity of the flow and $m$ is the mass of the atom of the superfluid liquid. |
| title | Non-extensive entropy of Vinen quantum turbulence |
| topic | Statistical Mechanics General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2604.19478 |