Finite-size effects of two-particle diffusion-limited reactions

Title
Finite-size effects of two-particle diffusion-limited reactions
Authors
Lee, J.W.
Keywords
REACTION-KINETICS, DIMENSIONAL CROSSOVERS
Issue Date
2000-08
Publisher
AMERICAN PHYSICAL SOC
Abstract
We have studied the finite-size effects of two-particle diffusion-limited reaction A + B --> 0, on a one- dimensional lattice using the Monte Carlo method. The density at a finite lattice follows a power law, C(t) similar to t(-x) below the crossover time, and shows an exponential decay above the crossover time. The crossover time depends on the lattice size and the bias field. We found second-order correction terms of the density decay as C(t) similar to t(-1/4)[1 + O(t(-1/8))] for the isotropic diffusion of particles and C(t) similar to t(-1/3)[1 + O(t(1/24))] for the maximum drift. We proposed the scaling function of the density given as C(t) similar to L(-1/2)f(o)(t/L-2) + L(-3/4)f(1)(t/L-2) for the isotropic diffusion and C(t) similar to L(-1/2)f(o)(t/L-3/2) + L(-9/16)f(1)(t/L-3/2) for the maximum drift where f(o) and f(1) are scaling functions.
URI
http://dspace.inha.ac.kr/handle/10505/20247
ISSN
1063-651X
Appears in Collections:
College of Natural Science(자연과학대학) > Physics (물리학) > Journal Papers, Peports(물리학 학술논문, 보고서)
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