DIFFUSION AND REACTION IN A LAMELLAR SYSTEM - SELF-SIMILARITY WITH FINITE RATES OF REACTION

被引：56

作者：

MUZZIO, FJ ^{[1
]}

OTTINO, JM ^{[1
]}

机构：

[1] STANFORD UNIV, CTR TURBULENCE RES, STANFORD, CA 94305 USA

来源：

PHYSICAL REVIEW A | 1990年 / 42卷 / 10期

关键词：

D O I：

10.1103/PhysRevA.42.5873

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

The evolution of an imperfectly mixed systemmimicked in terms of a distribution of lamellaeis studied. Two reactants A and B, initially placed in alternate striations, diffuse and undergo a reaction A+B2P with intrinsic rate r=kr(cAcB)± Simulations, scaling analysis, and space-averaged (fractal) kinetics are used to study the evolution of the system for different values of ± and kr. For ±=1 and short times, a model based on the dynamics of reaction for a single lamella with infinite neighbors predicts the overall rate of reaction. For ±<2.5, diffusion takes control of the dynamics for moderate to large times, and the kinetic parameters become irrelevant. Under these conditions, critical self-organization determines the behavior of the system, and the spatial structure evolves into a self-similar form that is independent of both kr and initial conditions. En route to scaling, the system undergoes two independent transitions: (i) from intrinsic chemical kinetics control to diffusion control, and (ii) from a system with several characteristic lengths to a system with only one characteristic length; these transitions might occur in any order, depending on controlling parameters. A combination of both short- and long-time regimes gives an efficient prediction for the average concentration of reactants for all times. © 1990 The American Physical Society.

引用

页码：5873 / 5884

页数：12

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