Mathematical modelling of low-frequency oscillations in solute transport by diffusion through a membrane

被引：0
|
作者：
N. A. Tikhonov
M. G. Tokmachev
机构：
[1] Moscow State Lomonosov University,Department of Mathematics, Faculty of Physics
来源：
Journal of Mathematical Chemistry | 2011年 / 49卷
关键词：
Mathematical modeling; Low-frequency oscillations; Diffusion; Membrane;
D O I：
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中图分类号：
学科分类号：
摘要：
Low-frequency oscillations of concentration could occur in the case of substance diffusion through a membrane under stable external conditions. This phenomenon had been experimentally observed. A theoretical explanation of the phenomenon was given and the results of mathematical modelling were presented in the present paper. Models considering dependence of local conductivity of a membrane on concentration of a solution were studied. Emergence of positive feedback between fluctuations of flows and concentrations was shown. This determines an appearance of oscillations in the process of substance diffusion.
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页码：629 / 642
页数：13
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