Abstract
The anomalous translational diffusion including inertial effects of nonlinear Brownian oscillators in a double well potential 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).
- Received 31 October 2006
DOI:https://doi.org/10.1103/PhysRevE.75.031101
©2007 American Physical Society