Microscopic dynamics of the nonlinear Fokker-Planck equation: A phenomenological model
- 1 June 1998
- journal article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 57 (6) , 6634-6642
- https://doi.org/10.1103/physreve.57.6634
Abstract
We derive a phenomenological model of the underlying microscopic Langevin equation of the nonlinear Fokker-Planck equation, which is used to describe anomalous correlated diffusion. The resulting distribution-dependent stochastic equation is then analyzed and properties such as long-time scaling and the Hurst exponent are calculated both analytically and from simulations. Results of this microscopic theory are compared with those of fractional Brownian motion. DOI: http://dx.doi.org/10.1103/PhysRevE.57.6634 © 1998 The American Physical SocietyThis publication has 33 references indexed in Scilit:
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