Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9727800 | Physica A: Statistical Mechanics and its Applications | 2005 | 6 Pages |
Abstract
A Fokker-Planck equation describing the statistical properties of Brownian particles acted upon by long-range stochastic forces with power-law correlations is derived. In contrast with previous approaches (Wang, Phys. Rev. A 45 (1992) 2), it is shown that the distribution of Brownian particles after release from a point source is broader than Gaussian and described by a Fox function. Transport is shown to be ballistic at short times and either sub-diffusive or super-diffusive at large times. The imposition of occasional trapping events onto the Brownian dynamics can result in confined diffusion (d/dtãx2ãâ0) at long times when the mean trapping time is divergent. It is suggested that such dynamics describe protein motions in cell membranes.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Sharon Khan, Andy M. Reynolds,