English

Anomalous diffusion with absorption: Exact time-dependent solutions

Statistical Mechanics 2009-02-06 v1

Abstract

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.

Keywords

Cite

@article{arxiv.cond-mat/9910086,
  title  = {Anomalous diffusion with absorption: Exact time-dependent solutions},
  author = {German Drazer and Horacio S. Wio and Constantino Tsallis},
  journal= {arXiv preprint arXiv:cond-mat/9910086},
  year   = {2009}
}

Comments

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