Lattice kinetics of diffusion-limited coalescence and annihilation with sources

被引：4

作者：

Abad, E

Masser, T

ben-Avraham, D

机构：

[1] Free Univ Brussels, Ctr Nonlinear Phenomena & Complex Syst, B-1050 Brussels, Belgium

[2] Clarkson Univ, Dept Phys, Potsdam, NY 13699 USA

[3] Clarkson Univ, Clarkson Inst Stat Phys, Potsdam, NY 13699 USA

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2002年 / 35卷 / 07期

关键词：

D O I：

10.1088/0305-4470/35/7/301

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the one-dimensional kinetics of diffusion-limited coalescence and annihilation with back reactions and different kinds of particle input. By considering the changes in occupation and parity of a given interval, we derive sets of hierarchical equations from which exact expressions for the lattice coverage and the particle concentration can be obtained. We compare the mean-field approximation and the continuum approximation to the exact solutions and we discuss their regime of validity.

引用

页码：1483 / 1500

页数：18

共 42 条

[1] One-dimensional lattice dynamics of the diffusion-limited reaction A+A→A+S:: Transient behavior [J].