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Please use this identifier to cite or link to this item: http://hdl.handle.net/2262/63020

Title: Phase space master equations for quantum Brownian motion in a periodic potential: comparison of various kinetic models
Author: COFFEY, WILLIAM THOMAS
DOWLING, WILLIAM JOSEPH
Sponsor: Irish Research Council for Science Engineering and Technology
Author's Homepage: http://people.tcd.ie/wcoffey
http://people.tcd.ie/wdowling
Keywords: Atomic, molecular and chemical physics
quantum Brownian particles
Issue Date: 2011
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
Series/Report no.: JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
44
47, 475001
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.
Description: PUBLISHED
URI: http://hdl.handle.net/2262/63020
Related links: http://dx.doi.org/10.1088/1751-8113/44/47/475001
Appears in Collections:Electronic & Electrical Eng (Scholarly Publications)

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