General relationship between anomalous single-species transport and pair-annihilation decay

Investigate how anomalous transport properties of the individual particle species determine the density-decay behavior of two-species A+B\to\emptyset pair-annihilation dynamics across a broader class of transport processes.

Background

The paper demonstrates that two-body directionally biased nonlinear hopping produces KPZ transport for isolated species and a t^{-1/3} decay in the corresponding two-species pair-annihilation system. In contrast, directionally biased three-body hopping also produces KPZ transport for each isolated species but yields t^{-1/4} decay when pair annihilation is present.

This contrast shows that the universality class of isolated-species transport does not by itself determine the pair-annihilation density exponent. The authors therefore leave unresolved the broader dependence of pair-annihilation dynamics on anomalous transport mechanisms and nonlinear hopping structures.