Liapunov Exponents and the Reversibility of Molecular Dynamics Algorithms

We study the phenomenon of lack of reversibility in molecular dynamics algorithms for the case of Wilson's lattice QCD. We demonstrate that the classical equations of motion that are employed in these algorithms are chaotic in nature. The leading Liapunov exponent is determined in a range of co...

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Detalles Bibliográficos
Autores principales: Liu, Chuan, Jaster, Andreas, Jansen, Karl
Lenguaje:eng
Publicado: 1997
Materias:
Particle Physics - Lattice
Acceso en línea:https://dx.doi.org/10.1016/S0550-3213(98)00174-6
http://cds.cern.ch/record/332563
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author Liu, Chuan
Jaster, Andreas
Jansen, Karl
author_facet Liu, Chuan
Jaster, Andreas
Jansen, Karl
author_sort Liu, Chuan
collection CERN
description We study the phenomenon of lack of reversibility in molecular dynamics algorithms for the case of Wilson's lattice QCD. We demonstrate that the classical equations of motion that are employed in these algorithms are chaotic in nature. The leading Liapunov exponent is determined in a range of coupling parameters. We give a quantitative estimate of the consequences of the breakdown of reversibility due to round-off errors.
id cern-332563
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1997
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spelling cern-3325632023-03-14T16:58:48Zdoi:10.1016/S0550-3213(98)00174-6http://cds.cern.ch/record/332563engLiu, ChuanJaster, AndreasJansen, KarlLiapunov Exponents and the Reversibility of Molecular Dynamics AlgorithmsParticle Physics - LatticeWe study the phenomenon of lack of reversibility in molecular dynamics algorithms for the case of Wilson's lattice QCD. We demonstrate that the classical equations of motion that are employed in these algorithms are chaotic in nature. The leading Liapunov exponent is determined in a range of coupling parameters. We give a quantitative estimate of the consequences of the breakdown of reversibility due to round-off errors.We study the phenomenon of lack of reversibility in molecular dynamics algorithms for the case of Wilson's lattice QCD. We demonstrate that the classical equations of motion that are employed in these algorithms are chaotic in nature. The leading Liapunov exponent is determined in a range of coupling parameters. We give a quantitative estimate of the consequences of the breakdown of reversibility due to round-off errors.hep-lat/9708017CERN-TH-97-207CERN-TH-97-207oai:cds.cern.ch:3325631997-08-26
spellingShingle Particle Physics - Lattice
Liu, Chuan
Jaster, Andreas
Jansen, Karl
Liapunov Exponents and the Reversibility of Molecular Dynamics Algorithms
title Liapunov Exponents and the Reversibility of Molecular Dynamics Algorithms
title_full Liapunov Exponents and the Reversibility of Molecular Dynamics Algorithms
title_fullStr Liapunov Exponents and the Reversibility of Molecular Dynamics Algorithms
title_full_unstemmed Liapunov Exponents and the Reversibility of Molecular Dynamics Algorithms
title_short Liapunov Exponents and the Reversibility of Molecular Dynamics Algorithms
title_sort liapunov exponents and the reversibility of molecular dynamics algorithms
topic Particle Physics - Lattice
url https://dx.doi.org/10.1016/S0550-3213(98)00174-6
http://cds.cern.ch/record/332563
work_keys_str_mv AT liuchuan liapunovexponentsandthereversibilityofmoleculardynamicsalgorithms
AT jasterandreas liapunovexponentsandthereversibilityofmoleculardynamicsalgorithms
AT jansenkarl liapunovexponentsandthereversibilityofmoleculardynamicsalgorithms

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