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

Daniel ben-Avraham·Vladimir Privman·Dexin Zhong
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Abstract

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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Daniel ben-Avraham, Vladimir Privman, Dexin Zhong. 1995-05-26. Two-Species Annihilation with Drift: A Model with Continuous Concentration-Decay Exponents. https://doi.org/10.1103/physreve.52.6889

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