TIME-SERIES EXPANSION FOR REACTION PROCESSES

被引：3

作者：

BENNAIM, E ^{[1
]}

ZHUO, J ^{[1
]}

机构：

[1] BOSTON UNIV,DEPT PHYS,BOSTON,MA 02215

来源：

PHYSICAL REVIEW E | 1993年 / 48卷 / 04期

关键词：

D O I：

10.1103/PhysRevE.48.2603

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：

The temporal evolution of reactive systems is studied by means of the exact enumeration of all states of the system for short times. An algorithm for the evaluation of the power series for the basic quantities of interest is presented. In addition, a consistent method of estimating the asymptotic behavior of the series is suggested. This approach is applied to two reaction schemes, ballistic annihilation and diffusive-driven three-species annihilation, where previous Monte Carlo simulations suggest power-law decays for the concentration. In both cases, reasonable estimates for the decay exponents are obtained.

引用

页码：2603 / 2609

页数：7

共 12 条

[1] KINETICS OF NORMAL-SPECIES ANNIHILATION - MEAN-FIELD AND DIFFUSION-CONTROLLED LIMITS [J].