title: Anomalous diffusion with absorption: exact time-dependent solutions
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.
authors.affiliation: Grupo de Medios Porosos, Facultad de Ingenieria, Universidad de Buenos Aires, Paseo Colon 850, CP 1063, Argentina.
authors.initials: G
authors.lastname: Drazer
authors.initials: HS
authors.lastname: Wio
authors.initials: C
authors.lastname: Tsallis