Diffusion over a saddle with a Langevin equation

Y. Abe; D. Boilley; B. G. Giraud; T. Wada

doi:10.1103/physreve.61.1125

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Diffusion over a saddle with a Langevin equation

Y. Abe·D. Boilley·B. G. Giraud·T. Wada

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Abstract

The diffusion problem over a saddle is studied using a multi-dimensional Langevin equation. An analytical solution is derived for a quadratic potential and the probability to pass over the barrier deduced. A very simple solution is given for the one dimension problem and a general scheme is shown for higher dimensions.

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Y. Abe, D. Boilley, B. G. Giraud, T. Wada. 1999-11-26. Diffusion over a saddle with a Langevin equation. https://doi.org/10.1103/physreve.61.1125

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