On the Generalized Kramers Problem with Exponential Memory Friction

Details On the Generalized Kramers Problem with Exponential Memory Friction On the Generalized Kramers Problem with Exponential Memory Friction

1998-09-03

arxiv.org/abs/cond-mat/9809080v1

Physica D Vol. 133, 348 (1999).

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1016/S0167-2789(99)00089-5

The time-dependent transmission coefficient for the generalized Kramers problem with exponential memory friction has recently been calculated by Kohen and Tannor [D. Kohen and D. J. Tannor, J. Chem. Phys. Vol. 103, 6013 (1995)] using a procedure based on the method of reactive flux and the phase space distribution function. Their analysis is restricted to the high friction regime or diffusion-limited regime. We recently developed a complementary theory for the low-friction energy-diffusion-limited regime in the Markovian limit [Sancho et al., cond-mat/9806001, to appear in J. Chem. Phys.]. Here we generalize our method to the case of an exponential dissipative memory kernel. We test our results, as well as those of Kohen and Tannor, against numerical simulations.

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