Anomalous diffusion induced by a Mittag-Leffler correlated noise

We introduce a Mittag-Leffler correlated random force leading to anomalous diffusion. Starting from a generalized Langevin equation, and using Laplace analysis we derive exact expressions for the mean values, variances and diffusion coefficient for a free particle in terms of generalized Mittag-Leff...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autores principales: Viñales, Angel Daniel, Despósito, Marcelo Arnaldo
Publicado: 2007
Materias:
Diffusion
Elementary particles
Laplace equation
Nonlinear equations
Anomalous diffusion
Langevin equations
Laplace analysis
Mean values
Random processes
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v75_n4_p_Vinales
http://hdl.handle.net/20.500.12110/paper_15393755_v75_n4_p_Vinales
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
Descripción
Sumario:We introduce a Mittag-Leffler correlated random force leading to anomalous diffusion. Starting from a generalized Langevin equation, and using Laplace analysis we derive exact expressions for the mean values, variances and diffusion coefficient for a free particle in terms of generalized Mittag-Leffler functions and its derivatives. The asymptotic behavior of these quantities are obtained, from which the anomalous diffusion behavior of the particle is displayed. © 2007 The American Physical Society.

Ejemplares similares