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

Jean Bricmont; Joel 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 Lebowitz, Charles E. Pfister

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

18 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 1 1979

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

Access to Document

10.1007/BF01197744

Fingerprint Dive into the research topics of 'Non-translation invariant Gibbs states with coexisting phases - II. Cluster properties and surface tension'. Together they form a unique fingerprint.

Cite this

@article{23da95b05a394af799d07ff660de0ab7,

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.",

author = "Jean Bricmont and Joel Lebowitz and Pfister, {Charles E.}",

year = "1979",

month = feb,

day = "1",

doi = "10.1007/BF01197744",

language = "English (US)",

volume = "66",

pages = "21--36",

journal = "Communications in Mathematical Physics",

issn = "0010-3616",

publisher = "Springer New York",

number = "1",

}

TY - JOUR

T1 - Non-translation invariant Gibbs states with coexisting phases - II. Cluster properties and surface tension

AU - Bricmont, Jean

AU - Lebowitz, Joel

AU - Pfister, Charles E.

PY - 1979/2/1

Y1 - 1979/2/1

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.

UR - http://www.scopus.com/inward/record.url?scp=34250408819&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34250408819&partnerID=8YFLogxK

U2 - 10.1007/BF01197744

DO - 10.1007/BF01197744

M3 - Article

AN - SCOPUS:34250408819

VL - 66

SP - 21

EP - 36

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

IS - 1

ER -