Asymptotic behavior of A + B --> inert for particles with a drift

TL;DR

This paper investigates the long-term decay behavior of a one-dimensional two-species annihilation process with uniform drift, revealing a distinct universality class characterized by a t^{-1/3} decay rate through extensive numerical simulations.

Contribution

It demonstrates that uniform drift causes a different asymptotic decay rate in the A + B --> 0 reaction, establishing a new universality class for this process.

Findings

Density decays as t^{-1/3} at long times

Different universality class from non-drift or oppositely drifting cases

Numerical simulations confirm the decay behavior

Abstract

We consider the asymptotic behavior of the (one dimensional) two-species annihilation reaction A + B --> 0, where both species have a uniform drift in the same direction and like species have a hard core exclusion. Extensive numerical simulations show that starting with an initially random distribution of A's and B's at equal concentration the density decays like t^{-1/3} for long times. This process is thus in a different universality class from the cases without drift or with drift in different directions for the different species.