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dc.contributor.authorCOFFEY, WILLIAMen
dc.date.accessioned2010-07-13T15:08:46Z
dc.date.available2010-07-13T15:08:46Z
dc.date.issued2007en
dc.date.submitted2007en
dc.identifier.citationW.T. Coffey, Yu.P. Kalmykov, S.V. Titov and B.P. Mulligan, Semiclassical master equation in Wigner's phase space applied to the Brownian motion in a periodic potential, Physical Review E, 75, 2007, 041117en
dc.identifier.otherYen
dc.identifier.urihttp://hdl.handle.net/2262/40297
dc.descriptionPUBLISHEDen
dc.description.abstractThe quantum Brownian motion of a particle in a cosine periodic potential V x =?V0 cos x/x0 is treated using the master equation for the time evolution of the Wigner distribution function W x, p, t in phase space x, p . The dynamic structure factor, escape rate, and jump-length probabilities are evaluated via matrix continued fractions in the manner customarily used for the classical Fokker-Planck equation. The escape rate so yielded is compared with that given analytically by the quantum-mechanical reaction rate solution of the Kramers turnover problem. The matrix continued fraction solution substantially agrees with the analytic solution.en
dc.format.extent041117en
dc.language.isoenen
dc.relation.ispartofseriesPhysical Review Een
dc.relation.ispartofseries75en
dc.rightsYen
dc.subjectPhysicsen
dc.subjectKramers turnover problemen
dc.titleSemiclassical master equation in Wigner's phase space applied to the Brownian motion in a periodic potentialen
dc.typeJournal Articleen
dc.contributor.sponsorScience Foundation Ireland (SFI)en
dc.type.supercollectionscholarly_publicationsen
dc.type.supercollectionrefereed_publicationsen
dc.identifier.peoplefinderurlhttp://people.tcd.ie/wcoffeyen
dc.identifier.rssinternalid45208en
dc.identifier.doihttp://dx.doi.org/10.1103/PhysRevE.75.041117en
dc.identifier.rssurihttp://link.aps.org/doi/10.1103/PhysRevE.75.041117en


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