KINETICS OF HETEROGENEOUS SINGLE-SPECIES ANNIHILATION

被引:59
|
作者
KRAPIVSKY, PL [1 ]
BENNAIM, E [1 ]
REDNER, S [1 ]
机构
[1] BOSTON UNIV,DEPT PHYS,BOSTON,MA 02215
来源
PHYSICAL REVIEW E | 1994年 / 50卷 / 04期
基金
美国国家科学基金会;
关键词
D O I
10.1103/PhysRevE.50.2474
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
We investigate the kinetics of diffusion-controlled heterogeneous single-species annihilation, where the diffusivity of each particle may be different. The concentration of the species with the smallest diffusion coefficient has the same time dependence as in homogeneous single-species annihilation A + A --> 0. However, the concentrations of more mobile species decay as power laws in time, but with nonuniversal exponents that depend on the ratios of the corresponding diffusivities to that of the least mobile species. We determine these exponents both in a mean-field approximation, which should be valid for spatial dimension d > 2, and in a phenomenological Smoluchowski theory, which is applicable in d < 2. Our theoretical predictions compare well with both Monte Carlo simulations and time series expansions.
引用
收藏
页码:2474 / 2481
页数:8
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