 08209 Yu.E.Kuzovlev
 Molecular Brownian motion and invariance group of the Bogolyubov equation
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Nov 4, 08

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Abstract. Statistics of molecular random walks in a fluid is considered with the help of Bogolyubov equation for generating functional of distribution functions. An invariance group of this equation is found. It results in many exact relations between path probability distribution of a test particle and its correlations with the fluid. As the consequence, significant restrictions on possible shape of the path distribution do arise. In particular, the hypothetical Gaussian form of longrange asymptotic proves to be forbidden, even (and first of all) under the BoltzmannGrad limit. An allowed diffusive asymptotic possesses powerlaw long tail (cut off by free flight length).
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