Local Dynamics in an Infinite Harmonic Chain

Local Dynamics in an Infinite Harmonic Chain

By the method of recurrence relations, the time evolution in a local variable in a harmonic chain is obtained. In particular, the autocorrelation function is obtained analytically. Using this result, a number of important dynamical quantities are obtained, including the memory function of the genera...

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Bibliographic Details
Main Author: M. Howard Lee
Format: Article
Language:English
Published: MDPI AG 2016-04-01
Series:Symmetry
Subjects:
recurrence relations
harmonic chain
local dynamics
ergodicity
chaos
Online Access:http://www.mdpi.com/2073-8994/8/4/22
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spelling doaj-977dec88055a4b4e9be12c4b2db22a202020-11-24T22:58:34ZengMDPI AGSymmetry2073-89942016-04-01842210.3390/sym8040022sym8040022Local Dynamics in an Infinite Harmonic ChainM. Howard Lee0Department of Physics and Astronomy, University of Georgia, Athens, GA 30602, USABy the method of recurrence relations, the time evolution in a local variable in a harmonic chain is obtained. In particular, the autocorrelation function is obtained analytically. Using this result, a number of important dynamical quantities are obtained, including the memory function of the generalized Langevin equation. Also studied are the ergodicity and chaos in a local dynamical variable.http://www.mdpi.com/2073-8994/8/4/22recurrence relationsharmonic chainlocal dynamicsergodicitychaos
collection DOAJ
language English
format Article
sources DOAJ
author M. Howard Lee
spellingShingle M. Howard Lee
Local Dynamics in an Infinite Harmonic Chain
Symmetry
recurrence relations
harmonic chain
local dynamics
ergodicity
chaos
author_facet M. Howard Lee
author_sort M. Howard Lee
title Local Dynamics in an Infinite Harmonic Chain
title_short Local Dynamics in an Infinite Harmonic Chain
title_full Local Dynamics in an Infinite Harmonic Chain
title_fullStr Local Dynamics in an Infinite Harmonic Chain
title_full_unstemmed Local Dynamics in an Infinite Harmonic Chain
title_sort local dynamics in an infinite harmonic chain
publisher MDPI AG
series Symmetry
issn 2073-8994
publishDate 2016-04-01
description By the method of recurrence relations, the time evolution in a local variable in a harmonic chain is obtained. In particular, the autocorrelation function is obtained analytically. Using this result, a number of important dynamical quantities are obtained, including the memory function of the generalized Langevin equation. Also studied are the ergodicity and chaos in a local dynamical variable.
topic recurrence relations
harmonic chain
local dynamics
ergodicity
chaos
url http://www.mdpi.com/2073-8994/8/4/22
work_keys_str_mv AT mhowardlee localdynamicsinaninfiniteharmonicchain
_version_ 1725646747699511296

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