N-dimensional nonlinear Fokker-Planck equation with time-dependent coefficients
Statistical Mechanics
2009-11-07 v1
Abstract
An -dimensional nonlinear Fokker-Planck equation is investigated here by considering the time dependence of the coefficients, where drift-controlled and source terms are present. We exhibit the exact solution based on the generalized gaussian function related to the Tsallis statistics. Furthermore, we show that a rich class of diffusive processes, including normal and anomalous ones, can be obtained by changing the time dependence of the coefficients.
Cite
@article{arxiv.cond-mat/0202322,
title = {N-dimensional nonlinear Fokker-Planck equation with time-dependent coefficients},
author = {L. C. Malacarne and R. S. Mendes and I. T. Pedron and E. K. Lenzi},
journal= {arXiv preprint arXiv:cond-mat/0202322},
year = {2009}
}
Comments
Latex, 4 pages. To appear in Phys. Rev. E