P.P.Y.M.Skhram, I.P.Yiakimenko Hydridynamic theory of Brownian motion in the compressibility fluid |
Applied hydromechanics, Vol. 1 (73) ¹ 2, (1999) |
| The general analytic solution of the problem of time correlations in the theory of Brownian motion is obtained taking into account the compressibility of fluid and the presence of the harmonic potential. With the help of this solution the criterions for the realisation of the diffusion regime on a large time scale have been formulated and the consistent limit procedure on a small time scale has been performed to approach the equilibrium value of the mean square velocity. The full asymptotic expansions have been found for the velocity autocorrelation functions and the mean square displacements of a Brownian particle which describe the so-called persistent correlations in a compressible viscous fluid. |
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| TEXT LANGUAGE: Russian |