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dc.contributor.authorDOWLING, WILLIAMen
dc.contributor.authorCOFFEY, WILLIAMen
dc.date.accessioned2012-04-12T13:21:13Z
dc.date.available2012-04-12T13:21:13Z
dc.date.issued2011en
dc.date.submitted2011en
dc.identifier.citationCleary, L, Coffey, WT, Dowling, WJ, Kalmykov, YP, Titov, SV, Phase space master equations for quantum Brownian motion in a periodic potential: comparison of various kinetic models, JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 44, 47, 475001, 2011en
dc.identifier.otherYen
dc.identifier.urihttp://hdl.handle.net/2262/63020
dc.descriptionPUBLISHEDen
dc.description.abstractThe dynamics of quantum Brownian particles in a cosine periodic potential are studied using the phase space formalism associated with the Wigner representation of quantum mechanics. Various kinetic phase space master equation models describing quantum Brownian motion in a potential are compared by evaluating the dynamic structure factor and escape rate from the differential recurrence relations generated by the models. The numerical solution is accomplished via matrix continued fractions in the manner customarily used for the classical Fokker?Planck equation. The results of numerical calculations of the escape rate from a well of the cosine potential are compared with those given analytically by the quantum-mechanical reaction rate theory solution of the Kramers turnover problem for a periodic potential, given by Georgievskii and Pollak (1994 Phys. Rev. E 49 5098), enabling one to appraise each model.en
dc.description.sponsorshipThe Ireland-France IRCSET/EGIDE scheme and the Royal Irish Academy (mobility grant 2009) are thanked for their financial support for this work. LC acknowledges IRCSET for support.en
dc.language.isoenen
dc.relation.ispartofseriesJOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICALen
dc.relation.ispartofseries44en
dc.relation.ispartofseries47, 475001en
dc.rightsYen
dc.subjectAtomic, molecular and chemical physicsen
dc.subjectquantum Brownian particlesen
dc.titlePhase space master equations for quantum Brownian motion in a periodic potential: comparison of various kinetic modelsen
dc.typeJournal Articleen
dc.contributor.sponsorIrish Research Council for Science and Engineering Technology (IRCSET)en
dc.type.supercollectionscholarly_publicationsen
dc.type.supercollectionrefereed_publicationsen
dc.identifier.peoplefinderurlhttp://people.tcd.ie/wcoffeyen
dc.identifier.peoplefinderurlhttp://people.tcd.ie/wdowlingen
dc.identifier.rssinternalid79144en
dc.subject.TCDThemeNanoscience & Materialsen
dc.identifier.rssurihttp://dx.doi.org/10.1088/1751-8113/44/47/475001en


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