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Explicit density expansions of non-equilibrium probability distributionfunctions for molecular Brownian particle in ideal gas are obtained in originalform what visually implies (is exact solution to) the previously establisheddynamical virial relations. Role of these relations in unbiased analysis ofmolecular chaos properties in many-particle statistical mechanics, includingthe mobility 1/f noise, is newly investigated in clear terms of conditionalprobabilities and averages.

Brownian particle in ideal gas: explicit density expansions, conditional probabilities, and amusing properties of molecular chaos