Asymptotic expansion for reversible A+B<-->C reaction-diffusion process.
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.
Koza
Zbigniew
Z
Institute of Theoretical Physics, University of Wrocław, plac Maxa Borna 9, PL-50204 Wrocław, Poland. zkova@ift.wroc.pl