Different diffusive regimes, generalized Langevin and diffusion equations

A. A. Tateishi, E. K. Lenzi, L. R. da Silva, H. V. Ribeiro, S. Picoli, Jr., and R. S. Mendes
Phys. Rev. E 85, 011147 – Published 27 January 2012

Abstract

We investigate a generalized Langevin equation (GLE) in the presence of an additive noise characterized by the mixture of the usual white noise and an arbitrary one. This scenario lead us to a wide class of diffusive processes, in particular the ones whose noise correlation functions are governed by power laws, exponentials, and Mittag-Leffler functions. The results show the presence of different diffusive regimes related to the spreading of the system. In addition, we obtain a fractional diffusionlike equation from the GLE, confirming the results for long time.

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  • Received 8 August 2011

DOI:https://doi.org/10.1103/PhysRevE.85.011147

©2012 American Physical Society

Authors & Affiliations

A. A. Tateishi1, E. K. Lenzi1, L. R. da Silva2, H. V. Ribeiro1, S. Picoli, Jr.1, and R. S. Mendes1

  • 1Departamento de Física, Universidade Estadual de Maringá Avenida Colombo, 5790–87020-900 Maringá-PR, Brazil
  • 2Departamento de Física, Universidade Federal do Rio Grande do Norte, 59072-970 Natal-RN, Brazil

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Vol. 85, Iss. 1 — January 2012

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