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Diffusion over a saddle with a Langevin equation
2000
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
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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.
doi:10.1103/physreve.61.1125
pmid:11046383
fatcat:armjpox2tvfqlgm5vw7fmhb5tm