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An improved calculation of the rate of escape of a Brownian particle from a one-dimensional potential well is presented for the low-friction case. This problem is important in the calculation of catalytic reaction rates at solid surfaces. The rate is found to have a nearly Arrhenius exponential dependence on barrier height, but to be surprisingly insensitive to barrier shape and injection energy distribution.
P. B. Visscher (Thu,) studied this question.
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