DIFFUSION-LIMITED A+B-]O REACTION - CORRELATED INITIAL CONDITION

被引:45
作者
LINDENBERG, K
WEST, BJ
KOPELMAN, R
机构
[1] UNIV CALIF SAN DIEGO, DEPT CHEM, LA JOLLA, CA 92093 USA
[2] UNIV MICHIGAN, DEPT CHEM, ANN ARBOR, MI 48109 USA
来源
PHYSICAL REVIEW A | 1990年 / 42卷 / 02期
关键词
D O I
10.1103/PhysRevA.42.890
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We find a time dependence different from that reported previously in the literature for the species concentration in the A+B0 diffusion-limited reaction for dimensions d<2 when the A-B pairs are initially correlated. Whereas an uncorrelated initial distribution leads to the well-known decay law t-d/4 for d<4 and t-1 for d4, a correlated initial distribution leads to the decay law t-(d+2)/4 for d<2 and t-1 for d2. The decay is therefore more rapid in the correlated case and the critical dimension for anomalous behavior shifts from 4 to 2. © 1990 The American Physical Society.
引用
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页码:890 / 894
页数:5
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