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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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