Spatial organization in the reaction A+B-->(inert) for particles with drift

摘要

We describe the spatial structure of particles in 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. For the case of equal initial concentration, at long times, there are three relevant length scales: the typical distance between similar (neighboring) particles, the typical distance between dissimilar (neighboring) particles, and the typical size of a cluster of one type of particle. These length scales are found to be generically different than those found for particles without a drift.