Asymptotic expansion for reversible A + B <-> C reaction-diffusion process
arXiv:cond-mat/0206152 · doi:10.1103/PhysRevE.66.011103
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.
6 pages, no figures, to appear in PRE