Mathematical modeling of low-frequency oscillations observed in the diffusion of a substance through a membrane

被引：0
|
作者：
N. A. Tikhonov
机构：
[1] Moscow State University,Faculty of Physics
来源：
Russian Journal of Physical Chemistry A | 2010年 / 84卷
关键词：
Conducting Channel; Component Concentration; Effective Diffusion Coefficient; Component Flow; Steady State Process;
D O I：
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中图分类号：
学科分类号：
摘要：
In the diffusion process of a substance through a membrane under external steady-state conditions, low-frequency oscillations in its concentration are observed experimentally. A theoretical explanation for this phenomenon is given, and the results of mathematical modeling are presented. Models based on local membrane conductivity as a function of solution concentration are examined. It is shown in this case that positive feedback develops between changes in the flows and concentrations, and this determines the development of oscillations in the diffusion process of a substance.
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页码：1369 / 1375
页数：6
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