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- W2023343562 abstract "In this paper we present the results of a study of the mean-square displacement of a Brownian particle in a harmonic potential and of a Brownian particle in shear flow. We have focused on the long-time behavior of the mean-square displacement. In contrast with earlier results, presented by others who studied the Stokes limit of these problems, we have studied this problem using the time-dependent linearized incompressible Navier-Stokes equations to describe the fluid motion. Then we see that the mean-square displacement is strongly influenced by backflow effects in the fluid, resulting, among other things, in long-time tails of correlation functions. We have compared our results with those calculated in the Stokes limit; important differences exist between them. The main differences are the long-time tails in correlation functions and, related with them, the larger time scales that should be considered to obtain diffusive behavior in the case of a Brownian particle in a harmonic potential or to obtain the cubic regime in the mean-square displacement of a Brownian particle in shear flow. Furthermore, we have studied the velocity autocorrelation function of a Brownian particle in a harmonic potential. In the overdamped case we have shown a ${mathrm{ensuremath{tau}}}^{mathrm{ensuremath{-}}7/2}$ long-time tail instead of the exponential tail that can be obtained in the Stokes limit. Also the sign of both tails differ." @default.
- W2023343562 created "2016-06-24" @default.
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- W2023343562 date "1992-08-01" @default.
- W2023343562 modified "2023-10-11" @default.
- W2023343562 title "Brownian particles in shear flow and harmonic potentials: A study of long-time tails" @default.
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- W2023343562 doi "https://doi.org/10.1103/physreva.46.1942" @default.
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