Diffusion over a saddle with a Langevin equation

Yasuhisa Abe, David Boilley, Bertrand G. Giraud, and Takahiro Wada
Phys. Rev. E 61, 1125 – Published 1 February 2000
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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.

  • Received 9 August 1999

DOI:https://doi.org/10.1103/PhysRevE.61.1125

©2000 American Physical Society

Authors & Affiliations

Yasuhisa Abe1, David Boilley1,2, Bertrand G. Giraud3, and Takahiro Wada4

  • 1Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan
  • 2GANIL, Boîte Postale 5027, 14 076 Caen Cedex 05, France
  • 3Service de Physique Théorique, DSM, CE Saclay, F-91191 Gif-Sur-Yvette, France
  • 4Konan University, Okamoto 8-9-1, Higashinada, Kobe 658, Japan

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Issue

Vol. 61, Iss. 2 — February 2000

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