Diffusion over a saddle with a Langevin equation
arXiv:nucl-th/9911077 · doi:10.1103/PhysRevE.61.1125
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.
13 pages, use revTeX, to appear in Phys. Rev. E61