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Abstract: Statistics of molecular random walks in a fluid is considered with the helpof Bogolyubov equation for generating functional of distribution functions. Aninvariance group of this equation is found. It results in many exact relationsbetween path probability distribution of a test particle and its correlationswith the fluid. As the consequence, significant restrictions on possible shapeof the path distribution do arise. In particular, the hypothetical Gaussianform of long-range asymptotic proves to be forbidden, even and first of allunder the Boltzmann-Grad limit. An allowed diffusive asymptotic possessespower-law long tail cut off by free flight length.



Author: Yuriy E. Kuzovlev

Source: https://arxiv.org/







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