On status of Boltzmann kinetic theory in the framework of statistical mechanics

Details On status of Boltzmann kinetic theory in the framework of statistical mechanics On status of Boltzmann kinetic theory in the framework of statistical mechanics

2010-06-08

arxiv.org/abs/1006.1505v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, no figures, LaTeX RevTex4, submitted to JETP Letters, with Russian original added to the source LaTeX file

Scientific paper

It is shown that early suggested derivation of the Boltzmann kinetic equation for dilute hard sphere gas from the time-reversible BBGKY equations is incorrect since in fact a priori substitutes for them definite irreversible equations. Alternative approach to analysis of the hard sphere gas is formulated which conserves the reversibility and makes it clear that at any gas density one can reduce the BBGKY equations to the Boltzmann equation only in case of spatially uniform gas.

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