@article{oai:nitech.repo.nii.ac.jp:00003748, author = {Goto, Toshiyuki and Kaneda, Yukio}, issue = {6}, journal = {Journal of Chemical Physics}, month = {Mar}, note = {The motion of a spherical Brownian particle in an incompressible fluid bounded by an infinite plane wall is studied on the basis of the linearized Landau-Lifshitz equations for the fluctuating hydrodynamics. The asymptotic forms for large time t of the autocorrelation function Φdj(t) for the random force acting on the particle and the autocorrelation function Ψij(t) for its velocity are discussed for the case that the distance l between the wall and the particle is finite but much larger than the particle radius a. It is shown that Φii and Ψii fall off as t-3/2 for a2/ν≪t≪l2/ν, but for t≫l2/ν they fall as t-5/2 or t-7/2, accordingly, as the direction i is parallel or perpendicular to the wall, where ν is the kinematic shear viscosity of the fluid., application/pdf}, pages = {3193--3197}, title = {Effect of an infinite plane wall on the motion of a spherical Brownian particle}, volume = {76}, year = {1982} }