English

Diffusion over a saddle with a Langevin equation

Nuclear Theory 2009-10-31 v1

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.

Keywords

Cite

@article{arxiv.nucl-th/9911077,
  title  = {Diffusion over a saddle with a Langevin equation},
  author = {Y. Abe and D. Boilley and B. G. Giraud and T. Wada},
  journal= {arXiv preprint arXiv:nucl-th/9911077},
  year   = {2009}
}

Comments

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