N-dimensional nonlinear Fokker-Planck equation with time-dependent coefficients

Details N-dimensional nonlinear Fokker-Planck equation with time-dependent coefficients N-dimensional nonlinear Fokker-Planck equation with time-dependent coefficients

2002-02-19

arxiv.org/abs/cond-mat/0202322v1

Phys. Rev. E 65, 052101 (2002)

Physics

Condensed Matter

Statistical Mechanics

Latex, 4 pages. To appear in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.65.052101

An $N$-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.

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