Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
977646 | Physica A: Statistical Mechanics and its Applications | 2008 | 8 Pages |
Abstract
Using the generalized Kolmogorov–Feller equation with long-range interaction, we obtain kinetic equations with fractional derivatives with respect to coordinates. The method of successive approximations, with averaging with respect to a fast variable, is used. The main assumption is that the correlation function of probability densities of particles to make a step has a power-law dependence. As a result, we obtain a Fokker–Planck equation with fractional coordinate derivative of order 1<α<21<α<2.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Vasily E. Tarasov, George M. Zaslavsky,