Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2000-02-01
Physics
Condensed Matter
Statistical Mechanics
To appear in J. Phys. Chem. B. as part of the special issue ``Harvey Scher Festschrift''
Scientific paper
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 follows the Mittag-Leffler relaxation and the diffusion is enhanced. The equation obeys the generalized Einstein relation, and its stationary solution is the Boltzmann distribution. Our results are compared to previous results on enhanced L\'evy type of diffusion derived from stochastic collision models.
Barkai Eli
Silbey Robert
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