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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Detalles Bibliográficos
Autores principales: Viñales, A.D., Despósito, M.A.
Formato: JOUR
Materias:
Fractals
Functions
Heavy ions
Laplace transforms
Oscillators (electronic)
Harmonic oscillator
Irreversible dynamics
Laplace analysis
Diffusion
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_15393755_v73_n1_p_Vinales
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_15393755_v73_n1_p_Vinales2023-10-03T16:22:10Z Anomalous diffusion: Exact solution of the generalized Langevin equation for harmonically bounded particle Viñales, A.D. Despósito, M.A. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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, A.D.
Despósito, M.A.
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.
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: 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
url http://hdl.handle.net/20.500.12110/paper_15393755_v73_n1_p_Vinales
work_keys_str_mv AT vinalesad anomalousdiffusionexactsolutionofthegeneralizedlangevinequationforharmonicallyboundedparticle
AT despositoma anomalousdiffusionexactsolutionofthegeneralizedlangevinequationforharmonicallyboundedparticle
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