DIFFUSION-REACTION KINETICS FOR A+B(STATIC)-]C(INERT) FOR ONE-DIMENSIONAL SYSTEMS WITH INITIALLY SEPARATED REACTANTS

被引:46
作者
LARRALDE, H
ARAUJO, M
HAVLIN, S
STANLEY, HE
机构
[1] BOSTON UNIV, DEPT PHYS, BOSTON, MA 02215 USA
[2] BAR ILAN UNIV, DEPT PHYS, IL-52100 RAMAT GAN, ISRAEL
来源
PHYSICAL REVIEW A | 1992年 / 46卷 / 10期
关键词
D O I
10.1103/PhysRevA.46.R6121
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We study analytically and numerically the reaction kinetics for diffusion-limited reactions of the type A + B(static) --> C(inert) in one-dimensional (1D) systems with reactants initially separated in space. We find expressions for the concentration profiles of each species, and for the reaction front. The width of the front is characterized by w approximately t(alpha) with alpha = 1/4, and its height by h approximately t(-beta) with beta = 3/4; these values differ from the "mean-field" exponents and from those obtained when both species diffuse.
引用
收藏
页码:R6121 / R6123
页数:3
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