Nonlinear noninertial response of a quantum Brownian particle in a tilted periodic potential to a strong ac force as applied to a point Josephson junction
Citation:Coffey, W.T., Kalmykov, Y.P., Titov, S.V., Cleary, L., Nonlinear noninertial response of a quantum Brownian particle in a tilted periodic potential to a strong ac force as applied to a point Josephson junction , Physical Review B - Condensed Matter and Materials Physics, 79, 5, 2009, 054507
Langevin equation.pdf (Published (publisher's copy) - Peer Reviewed) 408.8Kb
The normal phase diffusion problem in magnetic resonance imaging (MRI) is treated by means of the Langevin equation for the phase variable using only the properties of the characteristic function of Gaussian random variables. The calculation may be simply extended to anomalous diffusion using a fractional generalization of the Langevin equation proposed by Lutz [E. Lutz, Phys. Rev. E 64, 051106 (2001)] pertaining to the fractional Brownian motion of a free particle coupled to a fractal heat bath. The results compare favorably with diffusion-weighted experiments acquired in human neuronal tissue using a 3 T MRI scanner.
Irish Research Council for Science and Engineering Technology (IRCSET)
Type of material:Journal Article
Series/Report no:Physical Review B - Condensed Matter and Materials Physics
Availability:Full text available