Capillarity

Definition and stakes

Portrait of Horace Lamb Horace Lamb,  The Evolution Of Mathematical Physics

“ Laplace, again, had given a theory of capillarity based on the conception of forces having a very minute range of action, but the substance is treated as continuous, and the work was really a development of the theory of Attractions, with a generalized law of force. In the memoirs of Navier and Poisson, and to [Pg 18] a large extent in those of Cauchy, an elastic solid is conceived as a static arrangement of discrete molecules separated by finite intervals. ”
Source: Gutenberg

Portrait of Josiah Willard Gibbs Josiah Willard Gibbs,  Scientific Papers of Josiah Willard Gibbs (1906)

“ An example of a more general form of fundamental equation for a solid, is afforded by an equation between the energy and entropy of a given quantity of the solid, and the quantities which express its state of strain, or by an equation between {see (3) } as determined for a given quantity of the solid, the temperature, and the quantities which express the state of strain.
Capillarity.—The solution of the problems which precede may be regarded as a first approximation, in which the peculiar state of thermodynamic equilibrium about the surfaces of discontinuity is neglected.
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Source: Wikisource

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