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Author Eab, C. H. ♦ Lim, S. C.
Source arXiv.org
Content type Text
File Format PDF
Date of Submission 2009-10-25
Language English
Subject Domain (in DDC) Computer science, information & general works ♦ Natural sciences & mathematics ♦ Mathematics ♦ Physics
Subject Keyword Mathematical Physics ♦ math ♦ physics:math-ph
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.
Description Reference: Physica A 389 (2010) 2510?2521
Educational Use Research
Learning Resource Type Article
Page Count 10


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