Statistical Mechanics of Surface Tension of Curved Interface, I

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Abstract
From the microscopic point of view, surface tension is defined in two different ways: the statistical-thermodynamic and so to speak, the kinetic. In this paper these two definitions are examined with regard to a cylindrical interface between liquid and vapor, and it is shown that under certain conditions these two definitions become equivalent with each other and also with the usual thermodynamic definition. The methods used are those due to Harasima, MacLellan, and Kirkwood and Buff. The possibility of extending these methods to a spherical interface are briefly mentioned, leaving detailed calculations to be covered by future papers.

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