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

Abstract

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.

4 pages, 4 figures

References in corpus (1)

• Absence of kinetic effects in reaction-diffusion processes in scale-free networks

Cited by in corpus (1)

• Continuously varying exponents in $A+B\to 0$ reaction with long-ranged attractive interaction