Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
974210 | Physica A: Statistical Mechanics and its Applications | 2010 | 12 Pages |
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.
Keywords
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
C.H. Eab, S.C. Lim,