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Decay Process for Three - Species Reaction - Diffusion System

Kyungsik Kim, K. H. Chang, Y. S. Kong

cond-mat.stat-mecharXiv:cond-mat/9912316

Abstract

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 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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