Anomalous diffusion, nonlinear fractional Fokker-Planck equation and solutions

Details Anomalous diffusion, nonlinear fractional Fokker-Planck equation and solutions Anomalous diffusion, nonlinear fractional Fokker-Planck equation and solutions

2002-08-16

arxiv.org/abs/cond-mat/0208332v1

Physica A 319 (2003) 245

Physics

Condensed Matter

Statistical Mechanics

latex, 5 pages. Submitted to Physica A

Scientific paper

10.1016/S0378-4371(02)01495-4

We obtain new exact classes of solutions for the nonlinear fractional Fokker-Planck-like equation partial_t rho = partial_x{D(x) partial^{mu -1}_x rho^{nu} - F(x) rho} by considering a diffusion coefficient D = D|x|^{-theta} (theta in R and D>0) and a drift force F = -k_1 x + k-bar_{gamma} x|x|^{gamma-1} (k_1, k-bar_{gamma}, gamma in R). Connection with nonextensive statistical mechanics based on Tsallis entropy is also discussed.

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