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Generalized Langevin Equation: An Introductory Review for Biophysicists

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dc.contributor.authorChung, Shin-Ho
dc.contributor.authorRoper, Michael
dc.date.accessioned2022-02-10T02:58:08Z
dc.date.issued2020
dc.date.updated2020-12-13T07:23:28Z
dc.description.abstractAn introductory, pedagogical review of the generalized Langevin equation (GLE) within the classical regime is presented. It is intended to be accessible to biophysicists with an interest in molecular dynamics (MD). Section 1 presents why the equation may be of interest within biophysical modeling. A detailed elementary first principles derivation of the (multidimensional) Kac–Zwanzig model is presented. The literature is reviewed with a focus on biophysical applications and representation by Markovian stochastic differential equations. The relationship with the Mori–Zwanzig formalism is discussed. The framework of model reduction and approximation is emphasized. Some open problems are identified.en_AU
dc.format.mimetypeapplication/pdfen_AU
dc.identifier.issn1793-0480en_AU
dc.identifier.urihttp://hdl.handle.net/1885/260171
dc.language.isoen_AUen_AU
dc.publisherSingapore University Press and World Scientific Publishing Co Pty Ltden_AU
dc.rights© World Scientific Publishing Companyen_AU
dc.sourceBiophysical Reviews and Lettersen_AU
dc.subjectGeneralized Langevin equationen_AU
dc.subjectKac–Zwanzig modelen_AU
dc.subjectMarkovian approximationen_AU
dc.subjectbiophysical modelingen_AU
dc.subjectmodel reductionen_AU
dc.subjectMori–Zwanzig formalismen_AU
dc.subjectanomalous diffusionen_AU
dc.titleGeneralized Langevin Equation: An Introductory Review for Biophysicistsen_AU
dc.typeJournal articleen_AU
local.bibliographicCitation.issue4en_AU
local.bibliographicCitation.lastpage196en_AU
local.bibliographicCitation.startpage171en_AU
local.contributor.affiliationChung, Shin-Ho, College of Science, ANUen_AU
local.contributor.affiliationRoper, Michael, College of Science, ANUen_AU
local.contributor.authoruidChung, Shin-Ho, u8809509en_AU
local.contributor.authoruidRoper, Michael, u1033582en_AU
local.description.embargo2099-12-31
local.description.notesImported from ARIESen_AU
local.identifier.absfor080299 - Computation Theory and Mathematics not elsewhere classifieden_AU
local.identifier.absfor020304 - Thermodynamics and Statistical Physicsen_AU
local.identifier.absfor010202 - Biological Mathematicsen_AU
local.identifier.absseo970101 - Expanding Knowledge in the Mathematical Sciencesen_AU
local.identifier.absseo970102 - Expanding Knowledge in the Physical Sciencesen_AU
local.identifier.absseo970106 - Expanding Knowledge in the Biological Sciencesen_AU
local.identifier.ariespublicationu4008405xPUB176en_AU
local.identifier.citationvolume14en_AU
local.identifier.doi10.1142/S1793048019300019en_AU
local.publisher.urlhttp://www.worldscientific.com/worldscinet/brlen_AU
local.type.statusPublished Versionen_AU

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