Condensed Matter Physics, 1996, No. 7, p. 149-156, English
DOI:10.5488/CMP.7.149
Title: CORRELATION INEQUALITIES IN THE VICINITY OF THE LIQUID-GAS CRITICAL POINT
Authors: V.Russier, D.Di Caprio, J.P.Badiali (Laboratoire SRSI, Universite P. et
M. Curie, 4 Place Jussieu 75230 Paris Cedex 05 France)
The behaviour of the many-body correlation functions in the vicinity of the
liquid-gas critical point is investigated. The critical point is assumed
to exist and is therefore introduced by the means of a phenomenological
equation of state. We use only the framework of the liquid-state physics
and thus no reference to an effective Landau-Ginzburg hamiltonian is made.
From the relations linking the total correlation functions h^{(n)} and
h^{(n+1)}, we show that the integrals of all the h^{(n)} diverge
at the critical point. We then find that the GKS inequalities are satisfied
under the condition that all the distances between the particles are
asymptotically large. The range of validity of these inequalities in terms
of interparticle distances is given and a particular attention must be paid
to the fact that usual asymptotic approximations of the liquid state theory
are no more valid.
Comments: Refs. 13, Figs. 0, Tabs. 0.