Analytic properties of the free energy for the "ice" models

M. L. Glasser; D. B. Abraham; E. H. Lieb

doi:10.1063/1.1666073

Analytic properties of the free energy for the "ice" models

M. L. Glasser, D. B. Abraham, E. H. Lieb

Mathematics

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

13 Scopus citations

Abstract

The calculation of the free energy for the two-dimensional lattice models which obey the "ice" condition is reviewed and summarized. The analytic properties of this function relevant to thermodynamics are obtained for the set of those models corresponding to the absence of external fields. Detailed complex temperature Reimann structures are presented for the KDP and F models.

Original language	English (US)
Pages (from-to)	887-900
Number of pages	14
Journal	Journal of Mathematical Physics
Volume	13
Issue number	6
DOIs	https://doi.org/10.1063/1.1666073
State	Published - 1972

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1063/1.1666073

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abstract = "The calculation of the free energy for the two-dimensional lattice models which obey the {"}ice{"} condition is reviewed and summarized. The analytic properties of this function relevant to thermodynamics are obtained for the set of those models corresponding to the absence of external fields. Detailed complex temperature Reimann structures are presented for the KDP and F models.",

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AU - Abraham, D. B.

AU - Lieb, E. H.

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AB - The calculation of the free energy for the two-dimensional lattice models which obey the "ice" condition is reviewed and summarized. The analytic properties of this function relevant to thermodynamics are obtained for the set of those models corresponding to the absence of external fields. Detailed complex temperature Reimann structures are presented for the KDP and F models.

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U2 - 10.1063/1.1666073

DO - 10.1063/1.1666073

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JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

IS - 6

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Analytic properties of the free energy for the "ice" models

Abstract

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