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cond-mat.stat-mech2000
Fractional Kramers Equation
E. Barkai, R. Silbey
We introduce a fractional Kramers equation for a particle interacting with a thermal heat bath and external non-linear force field. For the force free case the velocity damping fol…
cond-mat.stat-mech2000
Transforming Gaussian diffusion into fractional a generalized law of large numbers approach
E. Barkai
The fractional Fokker-Planck equation (FFPE) [R. Metzler, E. Barkai, J. Klafter, Phys. Rev. Lett., 82, 3563 (1999)] describes an anomalous sub diffusive behavior of a particle in a…