Memory effects in the asymptotic diffusive behavior of a classical oscillator described by a generalized Langevin equation

We investigate the memory effects present in the asymptotic dynamics of a classical harmonic oscillator governed by a generalized Langevin equation. Using Laplace analysis together with Tauberian theorems we derive asymptotic expressions for the mean values, variances, and velocity autocorrelation f...

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Autores principales: Despósito, Marcelo Arnaldo, Viñales, Angel Daniel
Publicado: 2008
Materias:
Asymptotic analysis
Autocorrelation
Function evaluation
Laplace equation
Problem solving
Asymptotic dynamics
Harmonic oscillators
Langevin equation
Memory effects
Harmonic analysis
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v77_n3_p_Desposito
http://hdl.handle.net/20.500.12110/paper_15393755_v77_n3_p_Desposito
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling paper:paper_15393755_v77_n3_p_Desposito2023-06-08T16:20:36Z Memory effects in the asymptotic diffusive behavior of a classical oscillator described by a generalized Langevin equation Despósito, Marcelo Arnaldo Viñales, Angel Daniel Asymptotic analysis Autocorrelation Function evaluation Laplace equation Problem solving Asymptotic dynamics Harmonic oscillators Langevin equation Memory effects Harmonic analysis We investigate the memory effects present in the asymptotic dynamics of a classical harmonic oscillator governed by a generalized Langevin equation. Using Laplace analysis together with Tauberian theorems we derive asymptotic expressions for the mean values, variances, and velocity autocorrelation function in terms of the long-time behavior of the memory kernel and the correlation function of the random force. The internal and external noise cases are analyzed. A simple criterion to determine if the diffusion process is normal or anomalous is established. © 2008 The American Physical Society. Fil:Despósito, M.A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Viñales, A.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2008 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v77_n3_p_Desposito http://hdl.handle.net/20.500.12110/paper_15393755_v77_n3_p_Desposito
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 analysis
Autocorrelation
Function evaluation
Laplace equation
Problem solving
Asymptotic dynamics
Harmonic oscillators
Langevin equation
Memory effects
Harmonic analysis
spellingShingle Asymptotic analysis
Autocorrelation
Function evaluation
Laplace equation
Problem solving
Asymptotic dynamics
Harmonic oscillators
Langevin equation
Memory effects
Harmonic analysis
Despósito, Marcelo Arnaldo
Viñales, Angel Daniel
Memory effects in the asymptotic diffusive behavior of a classical oscillator described by a generalized Langevin equation
topic_facet Asymptotic analysis
Autocorrelation
Function evaluation
Laplace equation
Problem solving
Asymptotic dynamics
Harmonic oscillators
Langevin equation
Memory effects
Harmonic analysis
description We investigate the memory effects present in the asymptotic dynamics of a classical harmonic oscillator governed by a generalized Langevin equation. Using Laplace analysis together with Tauberian theorems we derive asymptotic expressions for the mean values, variances, and velocity autocorrelation function in terms of the long-time behavior of the memory kernel and the correlation function of the random force. The internal and external noise cases are analyzed. A simple criterion to determine if the diffusion process is normal or anomalous is established. © 2008 The American Physical Society.
author Despósito, Marcelo Arnaldo
Viñales, Angel Daniel
author_facet Despósito, Marcelo Arnaldo
Viñales, Angel Daniel
author_sort Despósito, Marcelo Arnaldo
title Memory effects in the asymptotic diffusive behavior of a classical oscillator described by a generalized Langevin equation
title_short Memory effects in the asymptotic diffusive behavior of a classical oscillator described by a generalized Langevin equation
title_full Memory effects in the asymptotic diffusive behavior of a classical oscillator described by a generalized Langevin equation
title_fullStr Memory effects in the asymptotic diffusive behavior of a classical oscillator described by a generalized Langevin equation
title_full_unstemmed Memory effects in the asymptotic diffusive behavior of a classical oscillator described by a generalized Langevin equation
title_sort memory effects in the asymptotic diffusive behavior of a classical oscillator described by a generalized langevin equation
publishDate 2008
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v77_n3_p_Desposito
http://hdl.handle.net/20.500.12110/paper_15393755_v77_n3_p_Desposito
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