Abstract
We investigate hopping rates in periodic potentials. In the limit of small damping, multiple barrier crossing, i.e. hopping between non-adjacent potential wells, becomes important. It is shown that these multiple hopping rates can be obtained systematically in terms of the lowest lying band of eigenvalues of the Fokker-Planck equation. We study multiple jump rates as well as jump length distributions from strong to weak friction.
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Jung, P., Berne, B.J. (1995). The Theory of Multi-Barrier Crossing. In: Talkner, P., Hänggi, P. (eds) New Trends in Kramers’ Reaction Rate Theory. Understanding Chemical Reactivity, vol 11. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0465-4_4
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DOI: https://doi.org/10.1007/978-94-011-0465-4_4
Publisher Name: Springer, Dordrecht
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