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arXiv · 2004.09053

Euler Turbulence and thermodynamic equilibrium

Mahendra K. Verma·Shashwat Bhattacharya·Soumyadeep Chatterjee
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Abstract

We perform a unique direct numerical simulation of Euler turbulence using delta-correlated velocity field as an initial condition, and report a full range of $k^2$ and $k$ energy spectra for 3D and 2D flows respectively, zero energy flux, and Maxwell-Boltzmann distribution for the velocity field. These are direct verification of the predictions of the absolute equilibrium theory of turbulence. For a coherent vortex as an initial condition, Euler turbulence transitions from a mixture of nonequilibrium-equilibrium state to a equilibrium state through a process called thermalization. In this letter, we present a model for thermalization in Euler turbulence.

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Mahendra K. Verma, Shashwat Bhattacharya, Soumyadeep Chatterjee. 2020-04-20. Euler Turbulence and thermodynamic equilibrium. https://arxiv.org/abs/2004.09053

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