Exact solution of the problem of the entropy of two-dimensional ice, pp. 692-4 in Physical Review Letters Vol. 18, No. 17, 24 April 1967

LIEB, Elliott H.

Published by Lancaster, PA & New York, NY: American Physical Society, 1967

About this Item

First edition, journal issue in original printed wrappers. This was the first exactly solvable model in statistical mechanics, after Onsager's famous solution of the square-lattice Ising model in 1944. "In statistical mechanics, the ice-type models or six-vertex models are a family of vertex models for crystal lattices with hydrogen bonds. The first such model was introduced by Linus Pauling in 1935 to account for the residual entropy of water ice. Variants have been proposed as models of certain ferroelectric and antiferroelectric crystals. In 1967, Elliott H. Lieb found the exact solution to a two-dimensional ice model known as 'square ice'. The exact solution in three dimensions is only known for a special 'frozen state'" (Wikipedia). Lieb's method was to use the Bethe ansatz. This led Rodney J. Baxter to his method of commuting transfer matrices and the quantum Yang-Baxter equations. Large 8vo, pp. 685-726. Original printed wrappers (very slight abrasion to front wrapper (not the removal of a stamp), address label on rear wrapper).

Seller Inventory # ABE-1609691710769

Bibliographic Details

• Title: Exact solution of the problem of the entropy of two-dimensional ice, pp. 692-4 in Physical Review Letters Vol. 18, No. 17, 24 April 1967
• Publisher: Lancaster, PA & New York, NY: American Physical Society
• Publication Date: 1967
• Binding: Soft cover
• Edition: 1st Edition
• Condition: Very Good