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
. 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.
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Ruelle, D. Superstable interactions in classical statistical mechanics. Commun.Math. Phys. 18, 127–159 (1970). https://doi.org/10.1007/BF01646091
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DOI: https://doi.org/10.1007/BF01646091