Effect of external force on the kinetics of diffusion-controlled escaping from a one-dimensional potential well
The kinetics of diffusion-controlled escaping (DCE) from the one-dimensional potential well in the presence of external force (both static and time dependent) is analyzed in detail. It is shown that for static force the simple exponential kinetics (with the rate corresponding to the quasistatic diffusion over the barrier) is observed only in the limit of a strong force. For weak forces the nonexponential contribution to the DCE kinetics becomes significant. The general expression for the DCE kinetics in the presence of oscillating or fluctuating force is derived. With the use of this expression simple analytical formulas for the kinetics are obtained in the limits of slowly and fast oscillating or fluctuating force.
Shushin
AI
Institute of Chemical Physics, Russian Academy of Sciences, GSP-1, Kosygin Strasse 4, 117977 Moscow, Russia.