ASYMPTOTIC-BEHAVIOR OF DENSITIES IN DIFFUSION DOMINATED 2-PARTICLE REACTIONS

被引：13

作者：

BRAMSON, M ^{[1
]}

LEBOWITZ, JL ^{[1
]}

机构：

[1] RUTGERS STATE UNIV,DEPT MATH & PHYS,NEW BRUNSWICK,NJ 08903

来源：

PHYSICA A | 1990年 / 168卷 / 01期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/0378-4371(90)90360-5

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We analyze the limiting behavior of the densities ρA(t) and ρB(t) for the diffusion controlled chemical reaction A + B → inert. We prove that for equal initial densities ρA(0)=ρB(0) there is a change in behavior from d ≤4, where ρA(t)=ρB(t)∼ C t d 4, to d≥4, where ρA(t)=ρB(t)∼ C t as t→∞. For unequal initial densities ρA(t)(0)<ρB(0), ρA(t)∼e -C t in d=1, ρA(t)∼e-Ct/log t in d=2, ρA(t)∼e-Ct in d≥3. The term C depends on the initial densities and changes with d. © 1990.

引用

页码：88 / 94

页数：7

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