Statistical field theory for liquid vapor interface

V. Russier; Jean-Michel Caillol

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arXiv · 0911.5275

Statistical field theory for liquid vapor interface

V. Russier·Jean-Michel Caillol

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Abstract

A statistical field theory for an inhomogeneous liquid, a planar liquid/vapor interface, is devised from first principles. The grand canonical partition function is represented via a Hubbard-Stratonovitch tranformation leading, close to the critical point, to the usual $ϕ^4$ scalar field theory which is then rigorously considered at the one-loop level. When further simplified it yields the well-known capillary wave theory without any ad hoc phenomenological parameter. Internal coherence of the one-loop approximation is discussed and good overall qualitative agreement with recent numerical simulations is stressed.

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V. Russier, Jean-Michel Caillol. 2009-11-27. Statistical field theory for liquid vapor interface. https://arxiv.org/abs/0911.5275

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