Phys. Rev. E 50, 2597–2599 (1994)Steady-state density in annihilation of immobile reactants with input of particlesReceived 22 December 1993; published in the issue dated October 1994 The annihilation reaction A+A→0 and the coagulation reaction A+A→A with reaction probability p and the input probability of particles ε in a one-dimensional lattice is studied. The behavior of the steady-state density of particles as a function of the parameter a≡ε/p is obtained. The limit a→0 is solved exactly. The solution is derived from a system of linear differential equations for the probabilities of finding n correlative particles Γn. The analytical results were confirmed by numerical simulations. © 1994 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.50.2597
DOI:
10.1103/PhysRevE.50.2597
PACS:
05.40.+j, 82.20.Mj
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