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The Ising free-energy functional

โœ Scribed by Loudon Campbell; F. A. Matsen

Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
512 KB
Volume
59
Category
Article
ISSN
0020-7608

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โœฆ Synopsis

We show that the Ising free-energy functional f(T, X) yields a second-order phase transition. The value of X, a generalized order parameter, which minimizes the functional is the real-order parameter, 0 = tanh[ CL(T,/T)] where T, = ] / ( 2 k ) and J is the Ising coupling constant. The Ising theory is applicable to the second-order phase transitions in ferromagnets, ferroelectrics, and superconductors. The constant temperature slices of f(T, X) yields the king functional which is valid over the entire range of T and which is identical to the Landau functional for T/T, close to unity.

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