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arXiv · 0910.4734

Fractional generalized Langevin equation approach to single-file diffusion

C. H. Eab·S. C. Lim
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Abstract

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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C. H. Eab, S. C. Lim. 2010-01-23. Fractional generalized Langevin equation approach to single-file diffusion. https://doi.org/10.1016/j.physa.2010.02.041

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