Abstract
An analytic theory is presented for the thermally activated rate constant in systems which exhibit spatially dependent and time-correlated friction along the reaction coordinate motion. The theory is valid over the entire range of damping strengths, including in the region of the Kramers turnover. It is compared to the results of computer simulations on a model nonlinear system and excellent agreement is obtained. The present work significantly generalizes existing theories for the activated rate constant which are based on the generalized Langevin equation for the reaction coordinate motion and spatially independent friction.
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