Thermal decay rate of a metastable state with two degrees of freedom: dynamical modeling versus approximate analytical formula

Abstract

Accuracy of the Kramers approximate formula for the thermal decay rate of the metastable state is studied for the two-dimensional potential pocket. This is done by the comparison with the quasistationary rate resulting from the dynamical modeling. It is shown that the Kramers rate is in agreement with the quasistationary rate within the statistical errors provided the absorptive border is far enough from the potential ridge restricting the metastable state. As the absorptive border (or its part) gets closer to the ridge the Kramers formula underestimate the quasistationary rate. The difference reaches approximately the factor of 2 when the absorptive border coincides with the ridge.

12 pages, 13 figures

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Cited by in corpus (5)

• Thermal decay of a metastable state: the influence of the re-scattering on the quasistationary dynamical rate
• Kramers's escape rate problem within a non-Markovian description
• Accuracy of the analytical escape rate for a cusp barrier in the overdamping regime
• Activated decay of a metastable state: Transient times for small and large dissipation
• Fission rate of excited nuclei at variable friction in the energy diffusion regime