Fractional generalized Langevin equation approach to single-file diffusion

Details Fractional generalized Langevin equation approach to single-file diffusion Fractional generalized Langevin equation approach to single-file diffusion

2009-10-25

arxiv.org/abs/0910.4734v3

Physica A 389 (2010) 2510?2521

Physics

Mathematical Physics

10 pages, 3 figure

Scientific paper

Fractional generalized Langevin equation with external force is used to model single-file diffusion. It is found that for external force that varies with power law the solution for such a fractional Langevin equation gives the correct short and long time behavior for the mean square displacement of single-file diffusion when appropriate choice of parameters associated with fractional generalized Langevin equation are used. By considering some special cases of the fractional generalized Langevin equation, a new class of closed analytic expressions for the mean square displacement of single-file diffusion can be obtained. The effective Fokker-Planck equation associated with single-file diffusion is briefly considered.

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