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
Theory of activated rate processes: Position dependent friction
โ Scribed by Benny Carmeli; Abraham Nitzan
- Publisher
- Elsevier Science
- Year
- 1983
- Tongue
- English
- Weight
- 556 KB
- Volume
- 102
- Category
- Article
- ISSN
- 0009-2614
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โฆ Synopsis
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 dependent noise and damping Kernel is derived and is used to obtain the escape rate.
๐ SIMILAR VOLUMES
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 th
An analytic theory is presented for the thermally activated rate constant in systems which exhibit spatially dependent and timecorrelated friction along the reaction coordinate motion. The theory is valid over the entire range of damping strengths, including in the region of the Rramers turnover. It