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Anomalous diffusion with absorption: exact time-dependent solutions.

作者信息

Drazer G, Wio HS, Tsallis C

机构信息

Grupo de Medios Porosos, Facultad de Ingenieria, Universidad de Buenos Aires, Paseo Colon 850, CP 1063, Argentina.

出版信息

Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 2000 Feb;61(2):1417-22. doi: 10.1103/physreve.61.1417.

DOI:10.1103/physreve.61.1417
PMID:11046422
Abstract

Recently, analytical solutions of a nonlinear Fokker-Planck equation describing anomalous diffusion with an external linear force were found using a nonextensive 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.

摘要

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