Periodic Gibbs states of ferromagnetic spin systems

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

doi:10.1007/BF01007648

Periodic Gibbs states of ferromagnetic spin systems

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

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

20 Scopus citations

Abstract

We give a complete description of the set of periodic Gibbs states at low temperatures for classical spin systems with arbitrary ferromagnetic, finite-range, interactions and fairly general even single-spin distribution of compact support on R. This extends results of Holsztynski and Slawny for the spin-1/2 case. The extension is based on recent ferromagnetic inequalities and low-temperature expansions.

Original language	English (US)
Pages (from-to)	269-277
Number of pages	9
Journal	Journal of Statistical Physics
Volume	24
Issue number	1
DOIs	https://doi.org/10.1007/BF01007648
State	Published - Jan 1981

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

Keywords

Low-temperature phases
ferromagnetic spins
periodic Gibbs states

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10.1007/BF01007648

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abstract = "We give a complete description of the set of periodic Gibbs states at low temperatures for classical spin systems with arbitrary ferromagnetic, finite-range, interactions and fairly general even single-spin distribution of compact support on R. This extends results of Holsztynski and Slawny for the spin-1/2 case. The extension is based on recent ferromagnetic inequalities and low-temperature expansions.",

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AU - Pfister, Charles E.

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AB - We give a complete description of the set of periodic Gibbs states at low temperatures for classical spin systems with arbitrary ferromagnetic, finite-range, interactions and fairly general even single-spin distribution of compact support on R. This extends results of Holsztynski and Slawny for the spin-1/2 case. The extension is based on recent ferromagnetic inequalities and low-temperature expansions.

KW - Low-temperature phases

KW - ferromagnetic spins

KW - periodic Gibbs states

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Periodic Gibbs states of ferromagnetic spin systems

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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