Survival probability in one dimension for the A+B->B reaction with hard-core repulsion

被引：4
|
作者：
Arora, D
Bhatia, DP
Prasad, MA
机构：
[1] Radiological Physics Division, Bhabha Atomic Research Centre, Trombay
来源：
JOURNAL OF STATISTICAL PHYSICS | 1996年 / 84卷 / 3-4期
关键词：
bus effect; random walk; survival probability; hard-core repulsion;
D O I：
10.1007/BF02179654
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study the effect of hard-core repulsion (known as the bus effect) between B particles on the reaction-diffusion system A + B --> B in the continuous-time random walk model in one dimension with the A particles stationary. We show rigorously that the survival probability of the A particles is asymptotically bounded as C-1 greater than or equal to lim(t-->infinity){[-log S(t)]/t(0.5)} greater than or equal to C-2, where C-1 and C-2 are constants. We also do simulations to confirm our results.
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页码：697 / 711
页数：15
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