Inequalities for higher order Ising spins and for continuum fluids

Joel L. Lebowitz; James L. Monroe

doi:10.1007/BF01645631

Inequalities for higher order Ising spins and for continuum fluids

Joel L. Lebowitz, James L. Monroe

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

21 Scopus citations

Abstract

The recently derived Fortuin, Kasteleyn and Ginibre (FKG) inequalities for lattice gasses are investigated for higher order Ising spin systems and multi-component lattice gasses. Conditions are given for the validity of the FKG inequalities for higher order spin systems with Hamiltonians of the form used recently as models for various physical systems, e.g. He³-He⁴ mixtures. We also investigate various inequalities for binary lattice gases and show how these can be carried over to continuum systems.

Original language	English (US)
Pages (from-to)	301-311
Number of pages	11
Journal	Communications In Mathematical Physics
Volume	28
Issue number	4
DOIs	https://doi.org/10.1007/BF01645631
State	Published - Dec 1972
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF01645631

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abstract = "The recently derived Fortuin, Kasteleyn and Ginibre (FKG) inequalities for lattice gasses are investigated for higher order Ising spin systems and multi-component lattice gasses. Conditions are given for the validity of the FKG inequalities for higher order spin systems with Hamiltonians of the form used recently as models for various physical systems, e.g. He3-He4 mixtures. We also investigate various inequalities for binary lattice gases and show how these can be carried over to continuum systems.",

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AB - The recently derived Fortuin, Kasteleyn and Ginibre (FKG) inequalities for lattice gasses are investigated for higher order Ising spin systems and multi-component lattice gasses. Conditions are given for the validity of the FKG inequalities for higher order spin systems with Hamiltonians of the form used recently as models for various physical systems, e.g. He3-He4 mixtures. We also investigate various inequalities for binary lattice gases and show how these can be carried over to continuum systems.

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Inequalities for higher order Ising spins and for continuum fluids

Abstract

All Science Journal Classification (ASJC) codes

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