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Asymptotic expansion for reversible A + B <-> C reaction-diffusion process

Zbigniew Koza
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Abstract

We study long-time properties of reversible reaction-diffusion systems of type A + B <-> C by means of perturbation expansion in powers of 1/t (inverse of time). For the case of equal diffusion coefficients we present exact formulas for the asymptotic forms of reactant concentrations and a complete, recursive expression for an arbitrary term of the expansions. Taking an appropriate limit we show that by studying reversible reactions one can obtain "singular" solutions typical of irreversible reactions.

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Zbigniew Koza. 2002-06-10. Asymptotic expansion for reversible A + B <-> C reaction-diffusion process. https://doi.org/10.1103/physreve.66.011103

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