|Author||Eab, C. H. ♦ Lim, S. C.|
|Date of Submission||2009-10-25|
|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|
|Learning Resource Type||Article|
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