## Abstract

We study the properties of the reaction front formed in a reversible reaction diffusion process A+B↔C, with initially separated reactants. The case of the mobile C component is considered. In accordance with Chopard et al. [Phys. Rev. E 47, R40 (1993)] the dynamics of the front is described as a crossover between the "irreversible" regime at short times and the "reversible" regime at long times. A refined definition for the rate of C production is suggested, taking into account both the forward and the backward reaction rates. By this definition within the framework of the mean-field equations it is shown that the reversible regime is characterized by scaling of the local rate of C production as R_{local}∼t^{-1} and by scaling of the global rate of C production as R_{global}∼t^{-1/2}. It is also established that in the considered special case of equal diffusion coefficients and equal initial concentrations, the macroscopic properties of the reaction front, such as the global rate of the C production R_{global} and the concentration profiles of the components outside the front reaction, are unchanged through this crossover.

Original language | English |
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Pages (from-to) | R6259-R6262 |

Journal | Physical Review E |

Volume | 60 |

Issue number | 6 A |

DOIs | |

State | Published - 1 Jan 1999 |

## ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics