Decay Process for Three - Species Reaction - Diffusion System

Details Decay Process for Three - Species Reaction - Diffusion System Decay Process for Three - Species Reaction - Diffusion System

1999-12-17

arxiv.org/abs/cond-mat/9912316v2

J. Phys. Soc. Jpn. Vol.68,1450(1999)

Physics

Condensed Matter

Statistical Mechanics

6 pages, 3 figures, Latex

Scientific paper

10.1143/JPSJ.68.1450

We propose the deterministic rate equation of three-species in the reaction - diffusion system. For this case, our purpose is to carry out the decay process in our three-species reaction-diffusion model of the form $A+B+C\to D$. The particle density and the global reaction rate are also shown analytically and numerically on a two-dimensional square lattice with the periodic boundary conditions. Especially, the crossover of the global reaction rate is discussed in both early-time and long-time regimes.

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