Dynamical virial relations and invalidity of the Boltzmann kinetic equation

Details Dynamical virial relations and invalidity of the Boltzmann kinetic equation Dynamical virial relations and invalidity of the Boltzmann kinetic equation

2012-03-17

arxiv.org/abs/1203.3861v1

Physics

Condensed Matter

Statistical Mechanics

9 pages, no figures, latex2e revtex4-1

Scientific paper

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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