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...

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Detalles Bibliográficos
Autores principales: Viñales, A.D., Despósito, M.A.
Formato: JOUR
Materias:
Diffusion
Elementary particles
Laplace equation
Nonlinear equations
Anomalous diffusion
Langevin equations
Laplace analysis
Mean values
Random processes
Acceso en línea: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.

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