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

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

2002-06-10

arxiv.org/abs/cond-mat/0206152v1

Phys. Rev. E 66, 011103 (2002).

Physics

Condensed Matter

Statistical Mechanics

6 pages, no figures, to appear in PRE

Scientific paper

10.1103/PhysRevE.66.011103

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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