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A simple approach leading to Kramers' turnover on the rate coefficient based on Brownian motion with weak colored dichotomous random force

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Abstract

By considering Brownian motion driven by a weak colored random force with dichotomous noise, neglecting inertial effects and assuming the stationary state, we obtained the pre-exponential factor for the reaction rate coefficient leading to the Kramers' turnover. It is found that the pre-exponential factor is proportional to the friction when it is small in comparison with the frequency characterizing the curvature of the potential top, and it is inversely proportional to the friction as it increases further after showing the maximum. This behavior is accounted for in terms of the cell model in liquids.

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  1. Department of Chemistry College of Arts and Sciences, University of Tokyo, Komaba Meguro-ku, 153, Tokyo, Japan

    Akio Morita

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  1. Akio Morita
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Morita, A. A simple approach leading to Kramers' turnover on the rate coefficient based on Brownian motion with weak colored dichotomous random force. J Math Chem 15, 123–130 (1994). https://doi.org/10.1007/BF01277554

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  • DOI: https://doi.org/10.1007/BF01277554

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