Anomalous kinetics of attractive $A+B \to 0$ reactions

Details Anomalous kinetics of attractive $A+B \to 0$ reactions Anomalous kinetics of attractive $A+B \to 0$ reactions

2005-06-20

arxiv.org/abs/cond-mat/0506479v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, 4 figures

Scientific paper

We investigate the kinetics of $A+B \to 0$ reaction with the local attractive interaction between opposite species in one spatial dimension. The attractive interaction leads to isotropic diffusions inside segregated single species domains, and accelerates the reactions of opposite species at the domain boundaries. At equal initial densities of $A$ and $B$, we analytically and numerically show that the density of particles ($\rho$), the size of domains ($\ell$), the distance between the closest neighbor of same species ($\ell_{AA}$), and the distance between adjacent opposite species ($\ell_{AB}$) scale in time as $\rho \sim t^{-1/3}$, $\ell_{AA} \sim t^{1/3}$, and $\ell \sim \ell_{AB} \sim t^{2/3}$ respectively. These dynamical exponents form a new universality class distinguished from the class of uniformly driven systems of hard-core particles.

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