arXiv:nucl-th/9911077·v1·Nuclear Theory
Diffusion over a saddle with a Langevin equation
Y. Abe (YITP, Kyoto Univ.)🇯🇵 · D. Boilley (YITP, Kyoto Univ. & GANIL)🇯🇵 · B.G. Giraud (Sevice de Physique, Saclay)🇫🇷 · T. Wada (Konan Univ.)🇯🇵
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.
Comments: 13 pages, use revTeX, to appear in Phys. Rev. E61