title: Diffusion over a saddle with a langevin equation
abstract: The diffusion problem over a saddle is studied using a multidimensional 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-dimensional problem and a general scheme is shown for higher dimensions.
authors.affiliation: Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan.
authors.initials: Y
authors.lastname: Abe
authors.initials: D
authors.lastname: Boilley
authors.initials: BG
authors.lastname: Giraud
authors.initials: T
authors.lastname: Wada