Escape from a Metastable Well: The Kramers Turnover Problem
- 10 October 1988
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 61 (15) , 1683-1686
- https://doi.org/10.1103/physrevlett.61.1683
Abstract
The thermally activated escape from a metastable well is studied in a region where both recrossing and depletion effects are important. It is shown that the relevant variable for the escape dynamics is the energy in the unstable normal mode at the barrier. In terms of this quantity the theory becomes easily perceptible and allows for a calculation of the escape rate in the turnover region between the low damping and strong damping Kramers limits.Keywords
This publication has 13 references indexed in Scilit:
- Quantum tunnelling in a dissipative systemPublished by Elsevier ,2004
- Brownian motion in a field of force and the diffusion model of chemical reactionsPublished by Elsevier ,2004
- Quantum Mechanics of a Macroscopic Variable: The Phase Difference of a Josephson JunctionScience, 1988
- Theory of activated rate processes: A new derivation of Kramers’ expressionThe Journal of Chemical Physics, 1986
- Escape from a metastable stateJournal of Statistical Physics, 1986
- Uniform expansion of the transition rate in Kramers' problemJournal of Statistical Physics, 1984
- The Fokker-Planck EquationPublished by Springer Nature ,1984
- Thermal activation in extremely underdamped Josephson-junction circuitsPhysical Review B, 1983
- Theory of Activated Rate Processes: Bridging between the Kramers LimitsPhysical Review Letters, 1983
- Nonlinear generalized Langevin equationsJournal of Statistical Physics, 1973