Atomic, molecular and chemical physics quantum Brownian particles
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
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 44 47, 475001
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.
Please note: There is a known bug in some browsers that causes an
error when a user tries to view large pdf file within the browser window.
If you receive the message "The file is damaged and could not be
repaired", please try one of the solutions linked below based on the
browser you are using.
Items in TARA are protected by copyright, with all rights reserved, unless otherwise indicated.