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Translational and rotational diffusion of an anisotropic particle in a molecular liquid: Long-time tails and Brownian limit

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Abstract

Formally exact equations are written down, describing the translational and rotational diffusion of an anisotropic tagged particle in a fluid of anisotropic particles. These equations are tractable in the long-time limit, and reduce to the solution of ordinary hydrodynamic equations supplemented by slip boundary conditions in the Brownian limit for a smooth tagged particle. No rotational viscosities or spin-diffusion constants appear in these results. The relation to other work is discussed.

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Masters, A.J., Keyes, T. Translational and rotational diffusion of an anisotropic particle in a molecular liquid: Long-time tails and Brownian limit. J Stat Phys 39, 215–239 (1985). https://doi.org/10.1007/BF01007980

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