Analyticity for one-dimensional systems with long-range superstable interactions View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

1983-11

AUTHORS

M. Campanino, D. Capocaccia, E. Olivieri

ABSTRACT

We consider unbounded spin systems and classical continuous particle systems in one dimension. We assume that the interaction is described by a superstable two-body potential with a decay at large distances at least asr−2(lnr)−(2+ε), ε > 0. We prove the analyticity of the free energy and of the correlations as functions of the interaction parameters. This is done by using a “renormalization group technique” to transform the original model into another, physically equivalent, model which is in the high-temperature (small-coupling) region. More... »

PAGES

437-476

References to SciGraph publications

  • 1976-10. Probability estimates for continuous spin systems in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1976-06. Random point processes and DLR equations in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1982-03. The phase transition in the one-dimensional Ising Model with 1/r2 interaction energy in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1973-12. Analyticity of correlation functions in one-dimensional classical systems with slowly decreasing potentials in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1978-02. Analyticity and clustering properties of unbounded spin systems in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1981-06. Renormalization group and analyticity in one dimension: A proof of Dobrushin's theorem in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1975. Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms in NONE
  • 1971-06. General properties of polymer systems in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1968-12. Statistical mechanics of a one-dimensional lattice gas in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1970-06. Superstable interactions in classical statistical mechanics in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • Journal

    TITLE

    Journal of Statistical Physics

    ISSUE

    2

    VOLUME

    33

    Author Affiliations

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/bf01009805

    DOI

    http://dx.doi.org/10.1007/bf01009805

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1015024798


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