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American Institute of Physics, The Journal of Chemical Physics, 20(141), p. 204106

DOI: 10.1063/1.4902243

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Multidimensional reaction rate theory with anisotropic diffusion

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This paper is available in a repository.

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Abstract

An analytical expression is derived for the rate constant that describes diffusive transitions between two deep wells of a multidimensional potential. The expression, in contrast to the Kramers-Langer formula for the rate constant, is valid even when the diffusion is highly anisotropic. Our approach is based on a variational principle for the reactive flux and uses a trial function for the splitting probability or commitor. The theoretical result is validated by Brownian dynamics simulations. (C) 2014 AIP Publishing LLC.