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

E. K. Lenzi, L. R. Evangelista, M. K. Lenzi, and L. R. da Silva
Phys. Rev. E 80, 021131 – Published 28 August 2009
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Abstract

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.

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  • Received 12 April 2009

DOI:https://doi.org/10.1103/PhysRevE.80.021131

©2009 American Physical Society

Authors & Affiliations

E. K. Lenzi1, L. R. Evangelista1, M. K. Lenzi2, and L. R. da Silva3

  • 1Departamento de Física, Universidade Estadual de Maringá, Av. Colombo 5790, 87020-900 Maringá, PR, Brazil
  • 2Departamento de Engenharia Química, Universidade Federal do Paraná, Setor de Tecnologia–Jardim das Américas, Caixa Postal 19011, 81531-990 Curitiba, PR, Brazil
  • 3Departamento de Física, Universidade Federal do Rio Grande do Norte, 59072-970 Natal, RN, Brazil

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Vol. 80, Iss. 2 — August 2009

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