Diffusion over a saddle with a Langevin equation
classification
⚛️ nucl-th
keywords
diffusionequationlangevinproblemsaddlesolutionanalyticalbarrier
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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.
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