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

Source: [Anomalous kinetics of attractive $A+B \\to 0$ reactions](<https://www.sota2.com/research/paper/68fa31b81e209131ce8810ab>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T19:01:20.400Z

Authors: Sungchul Kwon, S. Y. Yoon, Yup Kim

Published: 2005-06-20T06:17:17.000Z

## 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.

## Recorded benchmark results

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/0506479>)

[PDF](<https://arxiv.org/pdf/cond-mat/0506479.pdf>)