Anomalous diffusive behavior of a harmonic oscillator driven by a Mittag-Leffler noise

The diffusive behavior of a harmonic oscillator driven by a Mittag-Leffler noise is studied. Using the Laplace analysis we derive exact expressions for the relaxation functions of the particle in terms of generalized Mittag-Leffler functions and its derivatives from a generalized Langevin equation....

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Autores principales: Viñales, A.D., Wang, K.G., Despósito, M.A.
Formato: JOUR
Materias:
Asymptotic limits
Autocorrelation functions
Characteristic time
Diffusive behavior
Generalized Langevin equation
Harmonic oscillators
Mittag-Leffler functions
Power-law
Qualitative differences
Relaxation functions
Harmonic analysis
Laplace equation
Oscillators (mechanical)
Regression analysis
Oscillators (electronic)
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_15393755_v80_n1_p_Vinales
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_15393755_v80_n1_p_Vinales
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spelling todo:paper_15393755_v80_n1_p_Vinales2023-10-03T16:22:28Z Anomalous diffusive behavior of a harmonic oscillator driven by a Mittag-Leffler noise Viñales, A.D. Wang, K.G. Despósito, M.A. Asymptotic limits Autocorrelation functions Characteristic time Diffusive behavior Generalized Langevin equation Harmonic oscillators Mittag-Leffler functions Power-law Qualitative differences Relaxation functions Harmonic analysis Laplace equation Oscillators (mechanical) Regression analysis Oscillators (electronic) The diffusive behavior of a harmonic oscillator driven by a Mittag-Leffler noise is studied. Using the Laplace analysis we derive exact expressions for the relaxation functions of the particle in terms of generalized Mittag-Leffler functions and its derivatives from a generalized Langevin equation. Our results show that the oscillator displays an anomalous diffusive behavior. In the strictly asymptotic limit, the dynamics of the harmonic oscillator corresponds to an oscillator driven by a noise with a pure power-law autocorrelation function. However, at short and intermediate times the dynamics has qualitative difference due to the presence of the characteristic time of the noise. © 2009 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_v80_n1_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 Asymptotic limits
Autocorrelation functions
Characteristic time
Diffusive behavior
Generalized Langevin equation
Harmonic oscillators
Mittag-Leffler functions
Power-law
Qualitative differences
Relaxation functions
Harmonic analysis
Laplace equation
Oscillators (mechanical)
Regression analysis
Oscillators (electronic)
spellingShingle Asymptotic limits
Autocorrelation functions
Characteristic time
Diffusive behavior
Generalized Langevin equation
Harmonic oscillators
Mittag-Leffler functions
Power-law
Qualitative differences
Relaxation functions
Harmonic analysis
Laplace equation
Oscillators (mechanical)
Regression analysis
Oscillators (electronic)
Viñales, A.D.
Wang, K.G.
Despósito, M.A.
Anomalous diffusive behavior of a harmonic oscillator driven by a Mittag-Leffler noise
topic_facet Asymptotic limits
Autocorrelation functions
Characteristic time
Diffusive behavior
Generalized Langevin equation
Harmonic oscillators
Mittag-Leffler functions
Power-law
Qualitative differences
Relaxation functions
Harmonic analysis
Laplace equation
Oscillators (mechanical)
Regression analysis
Oscillators (electronic)
description The diffusive behavior of a harmonic oscillator driven by a Mittag-Leffler noise is studied. Using the Laplace analysis we derive exact expressions for the relaxation functions of the particle in terms of generalized Mittag-Leffler functions and its derivatives from a generalized Langevin equation. Our results show that the oscillator displays an anomalous diffusive behavior. In the strictly asymptotic limit, the dynamics of the harmonic oscillator corresponds to an oscillator driven by a noise with a pure power-law autocorrelation function. However, at short and intermediate times the dynamics has qualitative difference due to the presence of the characteristic time of the noise. © 2009 The American Physical Society.
format JOUR
author Viñales, A.D.
Wang, K.G.
Despósito, M.A.
author_facet Viñales, A.D.
Wang, K.G.
Despósito, M.A.
author_sort Viñales, A.D.
title Anomalous diffusive behavior of a harmonic oscillator driven by a Mittag-Leffler noise
title_short Anomalous diffusive behavior of a harmonic oscillator driven by a Mittag-Leffler noise
title_full Anomalous diffusive behavior of a harmonic oscillator driven by a Mittag-Leffler noise
title_fullStr Anomalous diffusive behavior of a harmonic oscillator driven by a Mittag-Leffler noise
title_full_unstemmed Anomalous diffusive behavior of a harmonic oscillator driven by a Mittag-Leffler noise
title_sort anomalous diffusive behavior of a harmonic oscillator driven by a mittag-leffler noise
url http://hdl.handle.net/20.500.12110/paper_15393755_v80_n1_p_Vinales
work_keys_str_mv AT vinalesad anomalousdiffusivebehaviorofaharmonicoscillatordrivenbyamittaglefflernoise
AT wangkg anomalousdiffusivebehaviorofaharmonicoscillatordrivenbyamittaglefflernoise
AT despositoma anomalousdiffusivebehaviorofaharmonicoscillatordrivenbyamittaglefflernoise
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