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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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
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_15393755_v75_n4_p_Vinales2023-10-03T16:22:15Z Anomalous diffusion induced by a Mittag-Leffler correlated noise Viñales, A.D. Despósito, M.A. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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, A.D.
Despósito, M.A.
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.
format JOUR
author Viñales, A.D.
Despósito, M.A.
author_facet Viñales, A.D.
Despósito, M.A.
author_sort Viñales, A.D.
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
url http://hdl.handle.net/20.500.12110/paper_15393755_v75_n4_p_Vinales
work_keys_str_mv AT vinalesad anomalousdiffusioninducedbyamittaglefflercorrelatednoise
AT despositoma anomalousdiffusioninducedbyamittaglefflercorrelatednoise
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