STEADY-STATE DENSITY IN ANNIHILATION OF IMMOBILE REACTANTS WITH INPUTOF PARTICLES

The annihilation reaction A + A --> 0 and the coagulation reaction A A --> A with reaction probability p and the input probability of part icles epsilon in a one-dimensional lattice is studied. The behavior of the steady-state density of particles as a function of the parameter a drop epsilon/p is obtained. The limit a --> 0 is solved exactly. The solution is derived from a system of linear differential equations fo r the probabilities of finding n correlative particles Gamma(n). The a nalytical results were confirmed by numerical simulations.