The Method of Minimal Representations in 2d Ising Model Calculations
CALIFORNIA UNIV BERKELEY CENTER FOR PURE AND APPLIED MATHEMATICS
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The Ising model was proposed to explain properties of ferromagnets but since then it has found application to topics in Chemistry and Biology as well as in Physics. For any reader unfamiliar with the model an excellent introduction targeted at a general audience is Cip87. The remainder of this section assumes some knowledge of the so called transfer matrix. This paper presents a numerical method for computing properties of the 2D Ising model for given parameter values such as magnetic field strength B, temperature T and coupling constants J. There are two avenues leading to such calculations combinatorial and algebraic. Our method is in the second category.
- Numerical Mathematics