Non-translation invariant Gibbs states with coexisting phases - II. Cluster properties and surface tension

Jean Bricmont; Joel L. Lebowitz; Charles E. Pfister

doi:10.1007/BF01197744

Non-translation invariant Gibbs states with coexisting phases - II. Cluster properties and surface tension

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

Research output: Contribution to journal › Article › peer-review

19 Scopus citations

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.

Original language	English (US)
Pages (from-to)	21-36
Number of pages	16
Journal	Communications In Mathematical Physics
Volume	66
Issue number	1
DOIs	https://doi.org/10.1007/BF01197744
State	Published - Feb 1979

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF01197744

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title = "Non-translation invariant Gibbs states with coexisting phases - II. Cluster properties and surface tension",

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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year = "1979",

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AU - Bricmont, Jean

AU - Lebowitz, Joel L.

AU - Pfister, Charles E.

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Y1 - 1979/2

N2 - 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.

AB - 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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JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

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IS - 1

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Non-translation invariant Gibbs states with coexisting phases - II. Cluster properties and surface tension

Abstract

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