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Abstract: Solutions to the BBGKY hierarchy of equations for molecular Brownian particlein ideal gas are considered, and exact relations are derived betweenprobability distribution of path of the particle, its derivatives in respect togas density and irreducible many-particle correlations of gas atoms with thepath. It is shown that all the correlations always give equally importantcontributions to evolution of the path distribution, and therefore the exactstatistical mechanics theory does not reduce to classical kinetics even in thelow-density limit.

Author: Yu.E.Kuzovlev

Source: https://arxiv.org/

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