Structure of gibbs states of one dimensional Coulomb systems

Michael Aizenman; Philippe A. Martin

doi:10.1007/BF01941972

Structure of gibbs states of one dimensional Coulomb systems

Michael Aizenman
, Philippe A. Martin

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

56 Scopus citations

Abstract

We present a method of computing the Coulomb forces on particles in an infinite configuration of charges in one dimension. The resolution of the apparent nonuniqueness in this problem leads to a structural proof of the translation symmetry breaking in jellium, at all temperatures, and to a related phenomenon of phase nonuniqueness in the two component system. The appropriate generalizations of the DLR and KMS conditions for these states are discussed.

Original language	English (US)
Pages (from-to)	99-116
Number of pages	18
Journal	Communications In Mathematical Physics
Volume	78
Issue number	1
DOIs	https://doi.org/10.1007/BF01941972
State	Published - Nov 1980

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF01941972

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title = "Structure of gibbs states of one dimensional Coulomb systems",

abstract = "We present a method of computing the Coulomb forces on particles in an infinite configuration of charges in one dimension. The resolution of the apparent nonuniqueness in this problem leads to a structural proof of the translation symmetry breaking in jellium, at all temperatures, and to a related phenomenon of phase nonuniqueness in the two component system. The appropriate generalizations of the DLR and KMS conditions for these states are discussed.",

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year = "1980",

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T1 - Structure of gibbs states of one dimensional Coulomb systems

AU - Aizenman, Michael

AU - Martin, Philippe A.

PY - 1980/11

Y1 - 1980/11

N2 - We present a method of computing the Coulomb forces on particles in an infinite configuration of charges in one dimension. The resolution of the apparent nonuniqueness in this problem leads to a structural proof of the translation symmetry breaking in jellium, at all temperatures, and to a related phenomenon of phase nonuniqueness in the two component system. The appropriate generalizations of the DLR and KMS conditions for these states are discussed.

AB - We present a method of computing the Coulomb forces on particles in an infinite configuration of charges in one dimension. The resolution of the apparent nonuniqueness in this problem leads to a structural proof of the translation symmetry breaking in jellium, at all temperatures, and to a related phenomenon of phase nonuniqueness in the two component system. The appropriate generalizations of the DLR and KMS conditions for these states are discussed.

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UR - https://www.scopus.com/pages/publications/0001965808#tab=citedBy

U2 - 10.1007/BF01941972

DO - 10.1007/BF01941972

M3 - Article

AN - SCOPUS:0001965808

SN - 0010-3616

VL - 78

SP - 99

EP - 116

JO - Communications In Mathematical Physics

JF - Communications In Mathematical Physics

IS - 1

ER -

Structure of gibbs states of one dimensional Coulomb systems

Abstract

All Science Journal Classification (ASJC) codes

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