Some comments on developments in exact solutions in statistical mechanics since 1944

Abstract

Lars Onsager and Bruria Kaufman calculated the partition function of the Ising model exactly in 1944 and 1949. Since then there have been many developments in the exact solution of similar, but usually more complicated, models. Here I shall mention a few, and show how some of the latest work seems to be returning once again to the properties observed by Onsager and Kaufman.

28 pages, 5 figures, section on six-vertex model revised

References in corpus (2)

• Spontaneous magnetization of the superintegrable chiral Potts model: calculation of the determinant D_PQ
• Spin operator matrix elements in the superintegrable chiral Potts quantum chain

Cited by in corpus (4)

• Restoring Unitarity in the q-Deformed World-Sheet S-Matrix
• Multiple integral representation for the trigonometric SOS model with domain wall boundaries
• Free-fermion models and the two-dimensional Ising models under the zero field and imaginary field $i(\pi /2)k_{B}T$
• Configurational Mean-Field Reduced Transfer Matrix Method for Ising Systems