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Abstract
The quiescent two-phase interface density profile and its capillary wave broadening are obtained heuristically. In two-dimensional space, the drumhead model in an arbitrary external field is transformed into a pair of Bloch equations and solved in special cases. It is extended to encompass a fixed liquid volume change. The original model is then solved completely and expressed as a free energy density functional, which is likewise extended. Finally, the genesis of the singular structure of the free energy is discussed. 14 references, 1 figure.
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