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J Keizer

Publications and source records attributed to J Keizer.

58 records · Page 4Linked to original sources

Qualms regarding the range of validity of the glansdorff-prigogine criterion for stability of non-equilibrium States.

Doubt is raised concerning the range of validity of a stability criterion for non-equilibrium states which has been proposed by Glansdorff and Prigogine. In the case of a particular autocatalytic reaction, the stability analysis presented by Glansdorff and Prigogine, and by Eigen and by Katchalsky in their reviews of this problem, does not agree with our analysis, which is based upon exact solution of the relevant rate equations. We also find disagreement between the analysis based upon the Glansdorff-Prigogine criterion and our analysis of a second example which involves non-equilibrium steady states. The situation is quite delicate because seemingly innocent approximations (e.g., the use of specialized conditions in the autocatalytic reaction X + Y right arrow over left arrow 2X discussed in the sequel) may lead to the impression that the scope of validity of the criterion is wider than it actually is. By considering the stability of the equilibrium state, we conclude that the second differential of the entropy, which is at the heart of the Glansdorff-Prigogine criterion, is likely to be relevant for stability questions close to equilibrium only.

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On the mechanism of oscillations in the "beating mercury heart".

The discovery of a class of electrochemical-mechanical oscillators-similar to the beating mercury heart -are reported and characterized. Chemical and physical effects on the voltage-time oscillations in these systems have been measured and a mechanism consistent with these effects is given. Interesting cross-catalytic effects involving the electrocapillarity of mercury are proposed to be the origin of the oscillations in these systems.

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