Condensed Matter Physics, 2010, vol. 13, No. 2, p. 23602:115
DOI:10.5488/CMP.13.23602
Title: Statistical field theory for liquid vapor interface
Author(s):

V. Russier
(ICMPE, UMR 7182 CNRS and Université Paris Est 28 rue Henri
Dunant, 94320 Thiais, France)
,


J.M. Caillol
(Laboratoire de Physique Théorique, UMR 8627 CNRS and Université
de Paris Sud, bat. 210, 91405 Orsay Cedex, France) 
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 HubbardStratonovitch transformation leading, close to
the critical point, to the usual φ^{4} scalar field theory
which is then rigorously considered at the oneloop level. When
further simplified it yields the wellknown capillary wave theory
without any ad hoc phenomenological parameter. Internal
coherence of the oneloop approximation is discussed and good
overall qualitative agreement with recent numerical simulations is
stressed.
Key words: field theory, gasliquid interface, surface
tension
PACS: 61.30.Hn, 64.70.F, 68.03.Cd
