Activated tunneling decay of metastable state: Solution of the Kramers problem

V.I. Mel'nikov

Physica A: Statistical Mechanics and its Applications, 1985, vol. 130, issue 3, 606-615

Abstract: At sufficiently low friction the Fokker-Planck equation for Brownian motion in a potential well is reduced to an integral equation for the energy variable. The basic small parameter of the problem is the ratio of the temperature T to the depth U0 of the well. Quantum tunneling effects are naturally incorporated into the calculations. An explicit solution for Kramers' problem of the lifetime of the Brownian particle in the potential well is given.

Date: 1985
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:130:y:1985:i:3:p:606-615

DOI: 10.1016/0378-4371(85)90049-4

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