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The physics of air-water interfaces plays a central role in modern theoriesof the hydrophobic effect. Implementing these theories, however, has beenhampered by the difficulty of addressing fluctuations in the shape of such softinterfaces. We show that this challenge is a fundamental consequence of mappinglong wavelength density variations onto discrete degrees of freedom. Drawingfrom studies of surface roughness in lattice models, we account for theresulting nonlinearities simply but accurately. Simulations show that thisapproach captures complex solvation behaviors quantitatively.

Putting water on a lattice: The importance of long wavelength density fluctuations in theories of hydrophobic and interfacial phenomena