Anomalous diffusion with absorption: Exact time-dependent solutions

Details Anomalous diffusion with absorption: Exact time-dependent solutions Anomalous diffusion with absorption: Exact time-dependent solutions

1999-10-06

arxiv.org/abs/cond-mat/9910086v1

Phys.Rev.E61:1417-1422,2000

Physics

Condensed Matter

Statistical Mechanics

RevTex, 16 pgs, 4 figures. Accepted in Physical Review E

Scientific paper

10.1103/PhysRevE.61.1417

Recently, analytical solutions of a nonlinear Fokker-Planck equation describing anomalous diffusion with an external linear force were found using a non extensive thermostatistical Ansatz. We have extended these solutions to the case when an homogeneous absorption process is also present. Some peculiar aspects of the interrelation between the deterministic force, the nonlinear diffusion and the absorption process are discussed.

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