Two-Species Annihilation with Drift: A Model with Continuous Concentration-Decay Exponents

Details Two-Species Annihilation with Drift: A Model with Continuous Concentration-Decay Exponents Two-Species Annihilation with Drift: A Model with Continuous Concentration-Decay Exponents

1995-05-26

arxiv.org/abs/cond-mat/9505141v1

Phys. Rev. E 52, 6889-6891 (1995)

Physics

Condensed Matter

10 pages, tex, 3 figures, also available upon request

Scientific paper

10.1103/PhysRevE.52.6889

We propose a model for diffusion-limited annihilation of two species, $A+B\to A$ or $B$, where the motion of the particles is subject to a drift. For equal initial concentrations of the two species, the density follows a power-law decay for large times. However, the decay exponent varies continuously as a function of the probability of which particle, the hopping one or the target, survives in the reaction. These results suggest that diffusion-limited reactions subject to drift do not fall into a limited number of universality classes.

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