RANDOM-FORCE-DOMINATED REACTION-KINETICS - REACTANTS MOVING UNDER RANDOM FORCES

被引:57
作者
ARAUJO, M
HAVLIN, S
LARRALDE, H
STANLEY, HE
机构
[1] BOSTON UNIV, CTR POLYMER STUDIES, BOSTON, MA 02215 USA
[2] BOSTON UNIV, DEPT PHYS, BOSTON, MA 02215 USA
[3] BAR ILAN UNIV, DEPT PHYS, IL-52100 RAMAT GAN, ISRAEL
关键词
D O I
10.1103/PhysRevLett.68.1791
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We investigate the reaction kinetics for systems in which the dynamics of the particles is governed by a Langevin equation with negligible damping, and we find the expressions for the survival probability, residual concentrations, and reaction rates. We discover that the integral in time of the reaction front for d = 1 is t(1-beta)exp(-\x\/t(alpha)) for both the low and high damping limits, and we estimate the exponents a and beta in each case.
引用
收藏
页码:1791 / 1794
页数:4
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