Effect of an Intermediate Metastable State on the Escape Rate of a Brownian Particle
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Date
2001-06
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Addis Ababa University
Abstract
vVe considered a Brownian particle trying to escape from a single-well potential
with a run away on one side aided by the thermal energy of the medium in which
it is moving, The analytical expression of escape rate of a Brownian particle
is calculated for a model original potential (inverted N) and for a modified model
potential having an intermediate metastable state using supersymmetric and mean
first passage time methods. The modified model potential is parameterized by
location and slope of the intermediate metastable state. We compared the escape
rate for the modified model potential with that for the original a model potential
and found that their ratio takes optimum value at a particular position of the
intermediate state. In addition, this ratio takes optimum value at a particular
slope value of the intermediate state
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Effect of an Intermediate Metastable