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A characterization of first-order phase transitions for superstable interactions in classical statistical mechanics

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Abstract

We give bounds on finite-volume expectations for a set of boundary conditions containing the support of any tempered Gibbs state and prove a theorem connecting the behavior of Gibbs states to the differentiability of the pressure for continuum statistical mechanical systems with long-range superstable potentials. Convergence of grand canonical Gibbs states is also studied.

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Authors and Affiliations

  1. Department of Mathematics, California State University, 91330, Northridge, California

    David Klein

  2. Department of Mathematics, Temple University, 19122, Philadelphia, Pennsylvania

    Wei -Shih Yang

Authors
  1. David Klein
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  2. Wei -Shih Yang
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Klein, D., Yang, W.S. A characterization of first-order phase transitions for superstable interactions in classical statistical mechanics. J Stat Phys 71, 1043–1062 (1993). https://doi.org/10.1007/BF01049960

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  • DOI: https://doi.org/10.1007/BF01049960

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