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

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

Research output: Contribution to journalArticlepeer-review

13 Scopus citations


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 languageEnglish (US)
Pages (from-to)887-900
Number of pages14
JournalJournal of Mathematical Physics
Issue number6
StatePublished - 1972

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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