Steady state of imperfect annihilation and coagulation reactions

Abstract

We study the coagulation (A+A -, A) and annihilation (A+A -+ 0) reactions with input probability B and reaction probability p in a omdimensional latlice. In the steady state we find two different behaviours for the density of nearest-neighbour occupied sites r against the density of particles p. These behaviours correspond to the diffusion-limited regime (p + 0) and to the reaction-limited regime (p - 1). Using a scaling ansak for r against p we derive an approximation for p as a function of 6 and p that agrees well with Monte Carlo numerical results.