Non-extensive entropy of Vinen quantum turbulence

G. E. Volovik

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arXiv · 2604.19478

Non-extensive entropy of Vinen quantum turbulence

G. E. Volovik

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Abstract

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 $\delta=3$. 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.

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G. E. Volovik. 2026-04-21. Non-extensive entropy of Vinen quantum turbulence. https://arxiv.org/abs/2604.19478

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