Dynamical virial relations and invalidity of the Boltzmann kinetic equation

Yu. E. Kuzovlev

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arXiv · 1203.3861

Dynamical virial relations and invalidity of the Boltzmann kinetic equation

Yu. E. Kuzovlev

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Abstract

A sequence of exact relations is found which connect one- and many-particle time-dependent distribution functions of low-density gas with their derivatives in respect to mean density. It is shown that, at least in the context of spatially non-uniform gas evolutions, these relations forbid the "molecular chaos propagation" and imply inapplicability of the Boltzmann kinetic equation even under the Boltzmann-Grad limit and regardless of degree of the non-uniformity.

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Yu. E. Kuzovlev. 2012-03-17. Dynamical virial relations and invalidity of the Boltzmann kinetic equation. https://arxiv.org/abs/1203.3861

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