ISSN:
1089-7690
Source:
AIP Digital Archive
Topics:
Physics
,
Chemistry and Pharmacology
Notes:
Bimolecular reactions in one dimension are studied using the fluctuation–dissipation theory. In particular, we calculate the rate constants for three reactive systems. First, for an infinite straight line, we consider the reaction A+A→A+P, and the isomerization 2A→A2. In the first case, we obtain a linear dependence between rate constant and the reactant concentration. In the second, we obtain the same linear dependence only when the characteristic dimerization time τd is much greater than the characteristic pumping time τp. On the other hand if τp(very-much-greater-than)τd, we find a rate constant which is independent of the reactant concentration. Our results are in qualitative agreement with recent computer simulations of these reactions. Second, we consider trapping, A+S→S, by static sinks on a ring. For the cases of interest, we find negligible corrections, due to curvature, to the functional form of the infinite straight line rate constant.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.454735
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