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Please use this identifier to cite or link to this item: http://hdl.handle.net/2262/30551

Title: Fractional translational diffusion of a Brownian particle in a double well potential
Author: COFFEY, WILLIAM THOMAS
KALYMYKOV, YURI PETROVICH
Author's Homepage: http://people.tcd.ie/wcoffey
Keywords: Electronic & Electrical Engineering
Issue Date: 2006
Publisher: American Institute of Physics
Citation: Kalmykov, Y.P., Coffey, W.T., Titov, S.V. 'Fractional translational diffusion of a Brownian particle in a double well potential' in Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 74, 1, (2006), art. no. 011105
Series/Report no.: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
74
1
Abstract: The fractional translational diffusion of a particle in a double-well potential (excluding inertial effects) is considered. The position correlation function and its spectrum are evaluated using a fractional probability density diffusion equation (based on the diffusion limit of a fractal time random walk). Exact and approximate solutions for the dynamic susceptibility describing the position response to a small external field are obtained. The exact solution is given by matrix continued fractions while the approximate solution relies on the exponential separation of the time scales of the fast "intrawell" and low overbarrier relaxation processes associated with the bistable potential. It is shown that knowledge of the characteristic relaxation times for normal diffusion allows one to predict accurately the anomalous relaxation behavior of the system for all relevant time scales.
Description: PUBLISHED
URI: http://hdl.handle.net/2262/30551
Appears in Collections:Electronic & Electrical Eng (Scholarly Publications)

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