Steady state of imperfect annihilation and coagulation reactions

H. O. MARTIN; J. L. IGUAIN; M. HOYUELOS

Journal of Physics A: Mathematical and General

IOP PUBLISHING LTD

Año: 1995 vol. 28 p. 5227 - 5233

We study the coagulation (A+A to A) and annihilation (A+A to 0) reactions with input probability epsilon 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 Gamma against the density of particles rho . These behaviours correspond to the diffusion-limited regime ( rho to 0) and to the reaction-limited regime ( rho approximately 1). Using a scaling ansatz for Gamma against rho we derive an approximation for rho as a function of epsilon and p that agrees well with Monte Carlo numerical results.