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Non-translation invariant Gibbs states with coexisting phases III: Analyticity properties

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Abstract

We consider the spatially inhomogeneous Gibbs states for the three dimensional Ising and Widom-Rowlinson models. We prove the analyticity inz=exp(−2βJ) for small |z| of the spin correlation functions of these Gibbs states and of the surface tension.

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Authors and Affiliations

  1. Department of Mathematics, Rutgers University, 08903, New Brunswick, NJ, USA

    Jean Bricmont, Joel L. Lebowitz & Charles E. Pfister

Authors
  1. Jean Bricmont
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  2. Joel L. Lebowitz
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  3. Charles E. Pfister
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Additional information

Communicated by A. Jaffe

Supported in part by N.S.F. Grant PHY 77-22302

Supported by the Swiss National Foundation for Scientific Research

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Bricmont, J., Lebowitz, J.L. & Pfister, C.E. Non-translation invariant Gibbs states with coexisting phases III: Analyticity properties. Commun.Math. Phys. 69, 267–291 (1979). https://doi.org/10.1007/BF01197448

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  • DOI: https://doi.org/10.1007/BF01197448

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