Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1999-01-23
J. Chem. Phys. Vol. 111, pgs. 676-688 (1999)
Physics
Condensed Matter
Statistical Mechanics
Scientific paper
10.1063/1.479347
The time-dependent transmission coefficient for the Kramers problem exhibits different behaviors in different parameter regimes. In the high friction regime it decays monotonically ("non-adiabatic"), and in the low friction regime it decays in an oscillatory fashion ("energy-diffusion-limited"). The generalized Kramers problem with an exponential memory friction exhibits an additional oscillatory behavior in the high friction regime ("caging"). In this paper we consider an oscillatory memory kernel, which can be associated with a model in which the reaction coordinate is linearly coupled to a nonreactive coordinate, which is in turn coupled to a heat bath. We recover the non-adiabatic and energy-diffusion-limited behaviors of the transmission coefficient in appropriate parameter regimes, and find that caging is not observed with an oscillatory memory kernel. Most interestingly, we identify a new regime in which the time-dependent transmission coefficient decays via a series of rather sharp steps followed by plateaus ("stair-like"). We explain this regime and its dependence on the various parameters of the system.
Lindenberg Katja
Reigada Ramon
Romero Aldo H.
Sancho Jose Maria
No associations
LandOfFree
On the Generalized Kramers Problem with Oscillatory Memory Friction does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with On the Generalized Kramers Problem with Oscillatory Memory Friction, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Generalized Kramers Problem with Oscillatory Memory Friction will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-652837