Fokker-Planck equation in a wedge domain: anomalous diffusion and survival probability.
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.
Departamento de Física, Universidade Estadual de Maringá, 87020-900 Maringá, PR, Brazil.
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Evangelista
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da Silva