The non-markoffiin generalization of Kramers' theory of activated rate processes is further generalized to the case of position dependent friction in the low-friction limit. A Smoluchowski equation for the action (or energy) of a particle moving in a potential under the influence of position depende
Theory of activated rate processes: Coupled modes
โ Scribed by Benny Carmeli; Abraham Nitzan
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 346 KB
- Volume
- 106
- Category
- Article
- ISSN
- 0009-2614
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โฆ Synopsis
The thermally activated es~xpr rate of :! classical parrick OUI of a pownrinl nell is studied in 3 simple model u hlch includes coupling bctwecn the cscapc (reactive) coordmate and another coordinate. The main effect of the non-reactive coordinate is to open a neP' (non-markovian) channel betxecn the reactive coordinate and the thermal bath.
๐ SIMILAR VOLUMES
We generalize the Carmeli-Nitzan unified theory for the non-Markovian escape rate from a metastable well by allowing for different memory friction kernels in the well and the barrier regions. These rates, which contain previously known results as special cases, are plotted for various values of the
Deviations from the Kramers preditions resulting from the couplmg between a reactive and a non-reactwe mode are studied in both the low-and hi&-diction Iimits. It is alsO argued how this simple picture may provide a breakdown of the upper Iimit imposed on the relaxation rate by transdion state theor