Kramers’s theory

Solvent dynamics and the delayed recognition of Kramer s theory... 

The approaches of Seitz [16] and Wu [31] are both consistent with the overall physical picture of crazing provided by Kramer s theory [39,40], since they both show that a more dense network of entanglements should lead to a higher Gc. 

The preexponential factor Z for the rate constant can be calculated from the activated complex or from Kramer s theory (vide infra) it is independent of AG or, in the electrochemical context, of the overpotential t). Thus, the rate constant can be written as... 

One of the central issues in studying reaction dynamics isf how you describe the flux over the reaction barrier, whether from simple collision theory, or transition state theory, to modified generalized Langevin theory, Kramer s theory...or even to quantum mechanical tunnelling - This is a selective not exhaustive list of possibilities (7,8). When the timescale of the photo chemical event (be it photodissociation, isomerization, charge transfer)... 

So far we concentrated on the single particle crossing the barrier, but for a set of coupled equations of motion, as discussed in Section 9.8, the formalism is equally valid. The results of this chapter so far can be summarized using Eq. (9.33) as follows if the friction f = 0, we get classical TST if the friction acts on the reaction coordinate directly, we get Kramers s theory and if we let the friction act on a coordinate coupled to the, itself frictionless barrier transition coordinate, we get the Brownian oscillator model described in Section 9.8. 

In general, the above assumptions do not hold. Hierefore, Dudko et aim introduced the following formula based on Kramer s theory ... 

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