Phys. Rev. E 50, 2597 - 2599 (1994)

Steady-state density in annihilation of immobile reactants with input of particles

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M. Hoyuelos
Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad Nacional de Mar del Plata, Funes 3350, 7600 Mar del Plata, Argentina

Received 22 December 1993

The annihilation reaction A+A→0 and the coagulation reaction A+AA 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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