# Kinetics of A+B---\>0 with Driven Diffusive Motion

Source: [Kinetics of A+B---\>0 with Driven Diffusive Motion](<https://www.sota2.com/research/paper/68fa24262c2a37601939fd24>)

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

Data updated: 2025-10-24T08:12:26.119Z

Authors: I. Ispolatov, P. L. Krapivsky, S. Redner

Published: 1995-04-03T17:22:46.000Z

## Abstract

We study the kinetics of two-species annihilation, A+B---\>0, when all particles undergo strictly biased motion in the same direction and with an excluded volume repulsion between same species particles. It was recently shown that the density in this system decays as t^{-1/3}, compared to t^{-1/4} density decay in A+B---\>0 with isotropic diffusion and either with or without the hard-core repulsion. We suggest a relatively simple explanation for this t^{-1/3} decay based on the Burgers equation. Related properties associated with the asymptotic distribution of reactants can also be accounted for within this Burgers equation description.

## 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/9504007>)

[PDF](<https://arxiv.org/pdf/cond-mat/9504007.pdf>)