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Article: The Andersen thermostat in molecular dynamics

TitleThe Andersen thermostat in molecular dynamics
Authors
Issue Date2008
Citation
Communications on Pure and Applied Mathematics, 2008, v. 61, n. 1, p. 96-136 How to Cite?
AbstractWe carry out a mathematical study of the Andersen thermostat [1], which is a frequently used tool in molecular dynamics. After reformulating the continuous-and discrete-time Andersen dynamics, we prove that in both cases the Andersen dynamics is uniformly ergodic. A detailed numerical analysis is presented, establishing the rate of convergence of most commonly used numerical algorithms for the Andersen thermostat. Transport properties such as the diffusion constant are also investigated. It is proved for the Lorentz gas model where there is intrinsic diffusion that the diffusion coefficient calculated using the Andersen thermostat converges to the true diffusion coefficient in the limit of vanishing collision frequency in the Andersen thermostat. © 2007 Wiley Periodicals, Inc.
Persistent Identifierhttp://hdl.handle.net/10722/326734
ISSN
2023 Impact Factor: 3.1
2023 SCImago Journal Rankings: 4.188

 

DC FieldValueLanguage
dc.contributor.authorE, Weinan-
dc.contributor.authorLi, Dong-
dc.date.accessioned2023-03-31T05:26:09Z-
dc.date.available2023-03-31T05:26:09Z-
dc.date.issued2008-
dc.identifier.citationCommunications on Pure and Applied Mathematics, 2008, v. 61, n. 1, p. 96-136-
dc.identifier.issn0010-3640-
dc.identifier.urihttp://hdl.handle.net/10722/326734-
dc.description.abstractWe carry out a mathematical study of the Andersen thermostat [1], which is a frequently used tool in molecular dynamics. After reformulating the continuous-and discrete-time Andersen dynamics, we prove that in both cases the Andersen dynamics is uniformly ergodic. A detailed numerical analysis is presented, establishing the rate of convergence of most commonly used numerical algorithms for the Andersen thermostat. Transport properties such as the diffusion constant are also investigated. It is proved for the Lorentz gas model where there is intrinsic diffusion that the diffusion coefficient calculated using the Andersen thermostat converges to the true diffusion coefficient in the limit of vanishing collision frequency in the Andersen thermostat. © 2007 Wiley Periodicals, Inc.-
dc.languageeng-
dc.relation.ispartofCommunications on Pure and Applied Mathematics-
dc.titleThe Andersen thermostat in molecular dynamics-
dc.typeArticle-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1002/cpa.20198-
dc.identifier.scopuseid_2-s2.0-37749017678-
dc.identifier.volume61-
dc.identifier.issue1-
dc.identifier.spage96-
dc.identifier.epage136-
dc.identifier.eissn0010-3640-

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