On the Generalized Kramers Problem with Exponential Memory Friction
Abstract
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.
Cite
@article{arxiv.cond-mat/9809080,
title = {On the Generalized Kramers Problem with Exponential Memory Friction},
author = {Katja Lindenberg and Aldo H. Romero and Jose M. Sancho},
journal= {arXiv preprint arXiv:cond-mat/9809080},
year = {2009}
}