Abstract
The long-time translational and rotational motion of a Brownian particle in two dimensions is studied on the basis of the fluctuation-dissipation theorem and linearized hydrodynamics. The long-time motion follows from the low frequency behavior of the mobility matrix. The coefficient of the long-time tail for the translational motion turns out to be independent of shape and size of the body, in agreement with mode-coupling theory. For rotational Brownian motion the coefficient of the long-time tail is found to depend on the shape of the body. This result is in conflict with a recent prediction from mode-coupling theory, and indicates that the mode-coupling calculation should be revised.
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This article is dedicated in friendship to Prof. Matthieu Ernst on the occasion of his 60th birthday.
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Cichocki, B., Felderhof, B.U. Long-time translation and rotational Brownian motion in two dimensions. J Stat Phys 87, 989–1003 (1997). https://doi.org/10.1007/BF02181267
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DOI: https://doi.org/10.1007/BF02181267