Griffiths inequalities for anti-ferromagnets

J. L. Lebowitz

doi:10.1016/0375-9601(71)90764-X

Griffiths inequalities for anti-ferromagnets

J. L. Lebowitz

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

11 Scopus citations

Abstract

We prove the existence of new Griffiths type inequalities for anti-ferromagnetic Ising spin systems and the corresponding lattice gases. It is shown in particular that for such a system the two spin (or particle) Ursell function [〈σ_iσ_j〉 - 〈σ_i〉〈σ_j〉] is positive when i and j are on the same sublattice and negative when they are on different sublattices. This is true for all values of the external magnetic field (or chemical potential) at the different lattice sites.

Original language	English (US)
Pages (from-to)	99-100
Number of pages	2
Journal	Physics Letters A
Volume	36
Issue number	2
DOIs	https://doi.org/10.1016/0375-9601(71)90764-X
State	Published - Aug 16 1971
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

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10.1016/0375-9601(71)90764-X

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title = "Griffiths inequalities for anti-ferromagnets",

abstract = "We prove the existence of new Griffiths type inequalities for anti-ferromagnetic Ising spin systems and the corresponding lattice gases. It is shown in particular that for such a system the two spin (or particle) Ursell function [〈σiσj〉 - 〈σi〉〈σj〉] is positive when i and j are on the same sublattice and negative when they are on different sublattices. This is true for all values of the external magnetic field (or chemical potential) at the different lattice sites.",

author = "Lebowitz, {J. L.}",

note = "Funding Information: * Supported by the U.S.A.F.O.S.R. under contract",

year = "1971",

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AU - Lebowitz, J. L.

N1 - Funding Information: * Supported by the U.S.A.F.O.S.R. under contract

PY - 1971/8/16

Y1 - 1971/8/16

N2 - We prove the existence of new Griffiths type inequalities for anti-ferromagnetic Ising spin systems and the corresponding lattice gases. It is shown in particular that for such a system the two spin (or particle) Ursell function [〈σiσj〉 - 〈σi〉〈σj〉] is positive when i and j are on the same sublattice and negative when they are on different sublattices. This is true for all values of the external magnetic field (or chemical potential) at the different lattice sites.

AB - We prove the existence of new Griffiths type inequalities for anti-ferromagnetic Ising spin systems and the corresponding lattice gases. It is shown in particular that for such a system the two spin (or particle) Ursell function [〈σiσj〉 - 〈σi〉〈σj〉] is positive when i and j are on the same sublattice and negative when they are on different sublattices. This is true for all values of the external magnetic field (or chemical potential) at the different lattice sites.

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DO - 10.1016/0375-9601(71)90764-X

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SP - 99

EP - 100

JO - Physics Letters A

JF - Physics Letters A

IS - 2

ER -

Griffiths inequalities for anti-ferromagnets

Abstract

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