title: Asymptotic expansion for reversible A+B<-->C reaction-diffusion process.
abstract: We study long-time properties of reversible reaction-diffusion systems of type A+B<-->C by means of the 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.
authors.affiliation: Institute of Theoretical Physics, University of Wrocław, plac Maxa Borna 9, PL-50204 Wrocław, Poland. zkova@ift.wroc.pl
authors.forename: Zbigniew
authors.initials: Z
authors.lastname: Koza