1203.3861 (Yu. E. Kuzovlev)

Dynamical virial relations and invalidity of the Boltzmann kinetic
equation    [PDF]

Yu. E. Kuzovlev

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.

View original: http://arxiv.org/abs/1203.3861