Nucleation model for multiparticle reactions with finite reaction rates in one dimension

L. A. BRAUNSTEIN; R. C. BUCETA

PHYSICAL REVIEW E - STATISTICAL PHYSICS, PLASMAS, FLUIDS AND RELATED INTERDISCIPLINARY TOPICS

The American Physical Society

Lugar: New York; Año: 1996 vol. 54 p. 6125 - 6127

1063-651X

We study one-dimensional reactions μA→νA (μ>ν) with nucleation and finite reaction rate (k≪) in one dimension for the particle density decay by means of a Monte Carlo simulation and analytic modeling. The anomalous case μ=2 was studied in our previous work. The marginal case μ=3 is described without logaritmic corrections in the mean field approach. The case μ>3 is well described by classical rate equations. The rate equation for the particle density is derived for all μ. We present a mean field approach for the early time regime (reaction-controlled limit) for any initial density. Also, the mean field aproximation is derived in a simple way from the rate equation for any time at low densities.