Steady state of imperfect annihilation and coagulation reactions

HECTOR MÁRTIN,; LUIS IGUAÍN, JOSÉ; MIGUEL LUIS HOYUELOS

JOURNAL OF PHYSICS. A - MATHEMATICAL AND GENERAL

IOP Publishing

Año: 1995 vol. 28 p. 5227 - 5227

0305-4470

We study the coagulation (A+A -> A) and annihilation (A+A -> 0) reactions with input probability e and reaction probability p in a one-dimensional lattice. 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 ansatz for r against p we derive an approximation for p as a function of e and p that agrees well with Monte Carlo numerical results.