Superstable interactions in classical statistical mechanics
RESEAUX
PHYSIQUE STATISTIQUE
FONCTIONS CONTINUES
FONCTIONS DE CORRELATION
EQUILIBRE
Abstract : We consider classical systems of particles inv dimensions. For a very large class of pair potentials (superstable lower regular potentials) it is shown that the correlation functions have bounds of the form ?(x1,...,xn)??n. Using these and further inequalities one can extend various results obtained by Dobrushin and Minlos [3] for the case of potentials which are non-integrably divergent at the origin. In particular it is shown that the pressure is a continuous function of the density. Infinite system equilibrium states are also defined and studied by analogy with the work of Dobrushin [2a] and of Lanford and Ruelle [11] for lattice gases.
RUELLE
P/70/X033
IHES
1970
A4
23 f.
EN
TEXTE
PREPUBLICATION
P_70_X033.pdf
1970