Semiclassical master equation in Wigner's phase space applied to the Brownian motion in a periodic potential
Citation:
W.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, 041117Download Item:
Abstract:
The 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.
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Grant Number
Science Foundation Ireland (SFI)
Author's Homepage:
http://people.tcd.ie/wcoffeyDescription:
PUBLISHED
Author: COFFEY, WILLIAM
Type of material:
Journal ArticleSeries/Report no:
Physical Review E75
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Full text availableKeywords:
Physics, Kramers turnover problemDOI:
http://dx.doi.org/10.1103/PhysRevE.75.041117Metadata
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