Characteristic times of the noninertial fractional diffusion of a particle in a potential are defined in terms of three time constants, viz., the integral, effective, and longest relaxation times. These times are described using the eigenvalues of the corresponding Fokker-Planck operator for the normal diffusion. Knowledge of them is sufficient to accurately predict the anomalous relaxation behavior for all time scales of interest. As a particular example, we consider the subdiffusion of a planar rotor in a double-well potential. © 2013 Springer Science+Business Media Dordrecht.
CITATION STYLE
Kalmykov, Y. P., Coffey, W. T., & Titov, S. V. (2013). Spectral definition of the characteristic times for anomalous diffusion in a potential. NATO Science for Peace and Security Series B: Physics and Biophysics, 131–150. https://doi.org/10.1007/978-94-007-5012-8_10
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