Exact time-dependent solutions for anomalous diffuison with absorption

摘要

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