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23 April 2024
 
  » arxiv » 0911.5275

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Statistical field theory for liquid vapor interface
V. Russier ; Jean-Michel Caillol ;
Date 27 Nov 2009
AbstractA 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 $phi^4$ 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.
Source arXiv, 0911.5275
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