Fractional generalized Langevin equation approach to single-file diffusion

C.H. Eab and S.C. Lim

Physica A: Statistical Mechanics and its Applications, 2010, vol. 389, issue 13, 2510-2521

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: Single-file diffusion; Fractional generalized Langevin equation (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:389:y:2010:i:13:p:2510-2521

DOI: 10.1016/j.physa.2010.02.041

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