Fokker-Planck equation in a wedge domain: Anomalous diffusion and survival probability

Fokker-Planck equation in a wedge domain: Anomalous diffusion and survival probability

E. K. Lenzi, L. R. Evangelista, M. K. Lenzi, L. R. da Silva, Physical Review E 80, 021131 (2009). PDF | DOI

We obtain exact solutions and the survival probability for a Fokker-Planck equation subjected to the two-dimensional wedge domain. We consider a spatial dependence in the diffusion coefficient and the presence of external forces. The results show an anomalous spreading of the solution and, consequently, a nonusual behavior of the survival probability which can be connected to anomalous diffusion.