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薄层和膜中的时空模式形成:临界焦点尺寸

Spatiotemporal pattern formation in thin layers and membranes: critical focal size.

作者信息

Nazarea A D

出版信息

Proc Natl Acad Sci U S A. 1978 Sep;75(9):4313-6. doi: 10.1073/pnas.75.9.4313.

Abstract

A theory for the determination of the focal nucleation size of oscillatory membrane (or thin layer) reactions is developed on the assumption that the focal domain is square planar. From this, one can estimate that, for a period of the oscillatory mode of, say, 5 min and lateral diffusion coefficient of approximately 10(-9) cm2/sec, the critical focal area would be of the order of 148 micrometer2, corresponding to a linear dimension of approximately 12.2 micrometer2. An alternative general expression for the critical focal size, involving explicitly the viscosity of the membrane, is also given.

摘要

基于焦点区域为方形平面的假设,建立了一种用于确定振荡膜(或薄层)反应的焦点成核尺寸的理论。据此可以估计,对于振荡模式周期为5分钟且横向扩散系数约为10^(-9)平方厘米/秒的情况,临界焦点面积约为148平方微米,对应的线性尺寸约为12.2微米。还给出了另一种明确涉及膜粘度的临界焦点尺寸的通用表达式。

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