## Abstract

We study theoretically and numerically the irreversible A+B→0 reaction-diffusion process of initially separated reactants occupying the regions of lengths LA, LB comparable with the diffusion length (LA, LB ∼ Dt, here D is the diffusion coefficient of the reactants). It is shown that the process can be divided into two stages in time. For t L2 D the front characteristics are described by the well-known power-law dependencies on time, whereas for t> L2 D these are well-approximated by exponential laws. The reaction-diffusion process of about 0.5 of initial quantities of reactants is described by the obtained exponential laws. Our theoretical predictions show good agreement with numerical simulations.

Original language | English |
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Article number | 046103 |

Journal | Physical Review E |

Volume | 77 |

Issue number | 4 |

DOIs | |

State | Published - 2 Apr 2008 |

## ASJC Scopus subject areas

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