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Non-translation invariant Gibbs states with coexisting phases

II. Cluster properties and surface tension

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Abstract

We prove cluster properties of the spatially inhomogeneous Gibbs states in symmetric two component lattice systems obtained at large (equal) values of the fugacity. We also prove that the surface tension of these systems is given by an integral over the density variation in this state; Gibbs' formula. An alternative formula for the surface tension is also derived.

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References

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Authors and Affiliations

  1. Department of Mathematics, Rutgers University, 08903, New Brunswick, New Jersey, 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 J. Glimm

Supported in part by NSF 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. Commun.Math. Phys. 66, 21–36 (1979). https://doi.org/10.1007/BF01197744

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  • DOI: https://doi.org/10.1007/BF01197744

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