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, 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

id	paper:paper_15393755_v75_n4_p_Vinales
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spelling	paper:paper_15393755_v75_n4_p_Vinales2023-06-08T16:20:33Z Anomalous diffusion induced by a Mittag-Leffler correlated noise Viñales, Angel Daniel Despósito, Marcelo Arnaldo Diffusion Elementary particles Laplace equation Nonlinear equations Anomalous diffusion Langevin equations Laplace analysis Mean values Random processes 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. Fil:Viñales, A.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Despósito, M.A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2007 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
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	Diffusion Elementary particles Laplace equation Nonlinear equations Anomalous diffusion Langevin equations Laplace analysis Mean values Random processes
spellingShingle	Diffusion Elementary particles Laplace equation Nonlinear equations Anomalous diffusion Langevin equations Laplace analysis Mean values Random processes Viñales, Angel Daniel Despósito, Marcelo Arnaldo Anomalous diffusion induced by a Mittag-Leffler correlated noise
topic_facet	Diffusion Elementary particles Laplace equation Nonlinear equations Anomalous diffusion Langevin equations Laplace analysis Mean values Random processes
description	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.
author	Viñales, Angel Daniel Despósito, Marcelo Arnaldo
author_facet	Viñales, Angel Daniel Despósito, Marcelo Arnaldo
author_sort	Viñales, Angel Daniel
title	Anomalous diffusion induced by a Mittag-Leffler correlated noise
title_short	Anomalous diffusion induced by a Mittag-Leffler correlated noise
title_full	Anomalous diffusion induced by a Mittag-Leffler correlated noise
title_fullStr	Anomalous diffusion induced by a Mittag-Leffler correlated noise
title_full_unstemmed	Anomalous diffusion induced by a Mittag-Leffler correlated noise
title_sort	anomalous diffusion induced by a mittag-leffler correlated noise
publishDate	2007
url	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
work_keys_str_mv	AT vinalesangeldaniel anomalousdiffusioninducedbyamittaglefflercorrelatednoise AT despositomarceloarnaldo anomalousdiffusioninducedbyamittaglefflercorrelatednoise
_version_	1768541911141842944

Anomalous diffusion induced by a Mittag-Leffler correlated noise

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