Superstable interactions in classical statistical mechanics View Full Text


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Article Info

DATE

1970-06

AUTHORS

D. Ruelle

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. More... »

PAGES

127-159

References to SciGraph publications

  • 1964-01. The free energy of a macroscopic system in ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
  • 1968-09. The classical mechanics of one-dimensional systems of infinitely many particles in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1950. Measure Theory in NONE
  • 1969-09. Observables at infinity and states with short range correlations in statistical mechanics in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/bf01646091

    DOI

    http://dx.doi.org/10.1007/bf01646091

    DIMENSIONS

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