Abstract

A new regime of oscillations in Teorell's membrane system is predicted, described theoretically and illustrated by numerical examples. Up to now, oscillations have been observed and discussed only at constant current, because in Teorell's theory oscillations at constant voltage are impossible. A correction of the electro-osmotic term allows oscillations to be predicted at constant voltage and both regimes of oscillations, at constant current and at constant voltage, to be described in a similar way. The stability of the system at constant voltage is analysed within the framework of Teorell's relaxation approach. The critical voltage for the onset of oscillations is calculated analytically as a function of the ratio of salt concentrations. A particular choice of measurement units allows different versions of the theory to be compared directly. The robustness of the relaxation approach is demonstrated.

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