ISSN:
1089-7690
Source:
AIP Digital Archive
Topics:
Physics
,
Chemistry and Pharmacology
Notes:
The extension to nonstationary situations of the statistical nonequilibrium thermodynamic theory of diffusion-influenced reactions is used to calculate the kinetics of the single species bimolecular chemical reactions. The method is based on the calculation of coupled dynamic equations for the average concentration and the radial distribution function. In particular, a detailed analysis is performed for the case of the reaction taking place in a one dimensional infinite medium. The single species bimolecular reactions (i.e., annihilation and coagulation) are found to have the same radial distribution function at all times in the low density limit, which implies that these reactions belong to the same spatial universality class under this criterion but not under the nearest-neighbor distance criterion. The rate of reaction depends on just one initial condition: the initial distribution of reactants, via g(r,0). For higher densities, the behavior is not universal and depends on the initial concentration of reactants, falling within the same universality class only if the initial concentration in the coagulation reaction is twice that of the annihilation reaction. This result agrees with what has previously been discussed in the literature using different approaches. The theory is checked against Monte Carlo simulations for the one dimensional case. © 1996 American Institute of Physics.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.471661
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