### 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) |
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Pages (from-to) | 887-900 |

Number of pages | 14 |

Journal | Journal of Mathematical Physics |

Volume | 13 |

Issue number | 6 |

DOIs | |

State | Published - Jan 1 1972 |

### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics

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## Cite this

Glasser, M. L., Abraham, D. B., & Lieb, E. H. (1972). Analytic properties of the free energy for the "ice" models.

*Journal of Mathematical Physics*,*13*(6), 887-900. https://doi.org/10.1063/1.1666073