Static A+B-->0 annihilation process in arbitrary dimension

Abstract

The pair annihilation A+B-->0 of static particles distributed at random in a d-dimensional space is studied in the large time regime for a tunneling law. The consequences of a superposition approximation used to close the hierarchy of equations describing the process are analytically explored. It is shown that the density and pair correlations of surviving particles have scaling expressions which display the ordering and clustering effects.