Diffusion over a saddle with a Langevin equation

Details Diffusion over a saddle with a Langevin equation Diffusion over a saddle with a Langevin equation

1999-11-26

arxiv.org/abs/nucl-th/9911077v1

Phys.Rev. E61 (2000) 1125-1133

Physics

Nuclear Physics

Nuclear Theory

13 pages, use revTeX, to appear in Phys. Rev. E61

Scientific paper

10.1103/PhysRevE.61.1125

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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