dc.contributor.author | DOWLING, WILLIAM | en |
dc.contributor.author | COFFEY, WILLIAM | en |
dc.date.accessioned | 2012-04-12T13:21:13Z | |
dc.date.available | 2012-04-12T13:21:13Z | |
dc.date.issued | 2011 | en |
dc.date.submitted | 2011 | en |
dc.identifier.citation | Cleary, 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, 2011 | en |
dc.identifier.other | Y | en |
dc.identifier.uri | http://hdl.handle.net/2262/63020 | |
dc.description | PUBLISHED | en |
dc.description.abstract | The 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.sponsorship | The 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.iso | en | en |
dc.relation.ispartofseries | JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | en |
dc.relation.ispartofseries | 44 | en |
dc.relation.ispartofseries | 47, 475001 | en |
dc.rights | Y | en |
dc.subject | Atomic, molecular and chemical physics | en |
dc.subject | quantum Brownian particles | en |
dc.title | Phase space master equations for quantum Brownian motion in a periodic potential: comparison of various kinetic models | en |
dc.type | Journal Article | en |
dc.type.supercollection | scholarly_publications | en |
dc.type.supercollection | refereed_publications | en |
dc.identifier.peoplefinderurl | http://people.tcd.ie/wcoffey | en |
dc.identifier.peoplefinderurl | http://people.tcd.ie/wdowling | en |
dc.identifier.rssinternalid | 79144 | en |
dc.subject.TCDTheme | Nanoscience & Materials | en |
dc.identifier.rssuri | http://dx.doi.org/10.1088/1751-8113/44/47/475001 | en |
dc.contributor.sponsor | Irish Research Council for Science and Engineering Technology (IRCSET) | en |