Anomalous diffusion: Exact solution of the generalized Langevin equation for harmonically bounded particle

We study the effect of a disordered or fractal environment in the irreversible dynamics of a harmonic oscillator. Starting from a generalized Langevin equation and using Laplace analysis, we derive exact expressions for the mean values, variances, and velocity autocorrelation function of the particl...

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Autores principales: Viñales, Angel Daniel, Despósito, Marcelo Arnaldo
Publicado: 2006
Materias:
Fractals
Functions
Heavy ions
Laplace transforms
Oscillators (electronic)
Harmonic oscillator
Irreversible dynamics
Laplace analysis
Diffusion
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v73_n1_p_Vinales
http://hdl.handle.net/20.500.12110/paper_15393755_v73_n1_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 paper:paper_15393755_v73_n1_p_Vinales2023-06-08T16:20:29Z Anomalous diffusion: Exact solution of the generalized Langevin equation for harmonically bounded particle Viñales, Angel Daniel Despósito, Marcelo Arnaldo Fractals Functions Heavy ions Laplace transforms Oscillators (electronic) Harmonic oscillator Irreversible dynamics Laplace analysis Diffusion We study the effect of a disordered or fractal environment in the irreversible dynamics of a harmonic oscillator. Starting from a generalized Langevin equation and using Laplace analysis, we derive exact expressions for the mean values, variances, and velocity autocorrelation function of the particle in terms of generalized Mittag-Leffler functions. The long-time behaviors of these quantities are obtained and the presence of a whip-back effect is analyzed. © 2006 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. 2006 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v73_n1_p_Vinales http://hdl.handle.net/20.500.12110/paper_15393755_v73_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 Fractals
Functions
Heavy ions
Laplace transforms
Oscillators (electronic)
Harmonic oscillator
Irreversible dynamics
Laplace analysis
Diffusion
spellingShingle Fractals
Functions
Heavy ions
Laplace transforms
Oscillators (electronic)
Harmonic oscillator
Irreversible dynamics
Laplace analysis
Diffusion
Viñales, Angel Daniel
Despósito, Marcelo Arnaldo
Anomalous diffusion: Exact solution of the generalized Langevin equation for harmonically bounded particle
topic_facet Fractals
Functions
Heavy ions
Laplace transforms
Oscillators (electronic)
Harmonic oscillator
Irreversible dynamics
Laplace analysis
Diffusion
description We study the effect of a disordered or fractal environment in the irreversible dynamics of a harmonic oscillator. Starting from a generalized Langevin equation and using Laplace analysis, we derive exact expressions for the mean values, variances, and velocity autocorrelation function of the particle in terms of generalized Mittag-Leffler functions. The long-time behaviors of these quantities are obtained and the presence of a whip-back effect is analyzed. © 2006 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: Exact solution of the generalized Langevin equation for harmonically bounded particle
title_short Anomalous diffusion: Exact solution of the generalized Langevin equation for harmonically bounded particle
title_full Anomalous diffusion: Exact solution of the generalized Langevin equation for harmonically bounded particle
title_fullStr Anomalous diffusion: Exact solution of the generalized Langevin equation for harmonically bounded particle
title_full_unstemmed Anomalous diffusion: Exact solution of the generalized Langevin equation for harmonically bounded particle
title_sort anomalous diffusion: exact solution of the generalized langevin equation for harmonically bounded particle
publishDate 2006
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v73_n1_p_Vinales
http://hdl.handle.net/20.500.12110/paper_15393755_v73_n1_p_Vinales
work_keys_str_mv AT vinalesangeldaniel anomalousdiffusionexactsolutionofthegeneralizedlangevinequationforharmonicallyboundedparticle
AT despositomarceloarnaldo anomalousdiffusionexactsolutionofthegeneralizedlangevinequationforharmonicallyboundedparticle
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