Yu.E.Kuzovlev
Dynamical virial relations and invalidity of the Boltzmann kinetic equation
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ABSTRACT. A sequence of exact relations is found which connect one- and many-particle time-dependent distribution functions of non-equilibrium 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. Statistical and physical meaning of this result is explained.