Inertial Effects in the Fractional Translational Brownian Motion in a Double-Well Potential
Item Type:Journal Article
Citation:W.T. Coffey, Yu.P. Kalmykov and S.V. Titov, Inertial Effects in the Fractional Translational Brownian Motion in a Double-Well Potential, Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 75, 3, 2007, 031101-1 - 031101-8
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The anomalous translational diffusion including inertial effects of nonlinear Brownian oscillators in a double well potential V(x)=ax2?2+bx4?4 is considered. An exact solution of the fractional Klein-Kramers (Fokker-Planck) equation is obtained allowing one to calculate via matrix continued fractions the positional autocorrelation function and dynamic susceptibility describing the position response to a small external field. The result is a generalization of the solution for the normal Brownian motion in a double well potential to fractional dynamics (giving rise to anomalous diffusion).
Type of material:Journal Article
Series/Report no:Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Availability:Full text available