American Institute of Physics, The Journal of Chemical Physics, 20(141), p. 204106
DOI: 10.1063/1.4902243
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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.