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Non-translation invariant Gibbs states with coexisting phases III: Analyticity properties
Authors:Jean Bricmont  Joel L Lebowitz  Charles E Pfister
Institution:(1) Department of Mathematics, Rutgers University, 08903 New Brunswick, NJ, USA
Abstract:We consider the spatially inhomogeneous Gibbs states for the three dimensional Ising and Widom-Rowlinson models. We prove the analyticity inz=exp(–2betaJ) for small |z| of the spin correlation functions of these Gibbs states and of the surface tension.Supported in part by N.S.F. Grant PHY 77-22302Supported by the Swiss National Foundation for Scientific Research
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