Approximate calculations for the two-dimensional Ising model |
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| Authors: | Frank A. Blood Jr. |
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| Affiliation: | (1) Department of Physics and Astronomy, The University of Rochester, Rochester, New York;(2) Present address: College of South Jersey, Rutgers University, Camden, New Jersey |
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| Abstract: | A self-consistent molecular field approximation for the two-dimensional, square-lattice Ising model is used to calculate the energy and magnetization. Agreement with the exact calculations is good except near the critical temperature, which differs from the exact critical temperature by 4%. The specific heat has no anomalous behavior asT approachesTc from above, and the magnetization follows the incorrect Weiss (Tc-T)1/2 law asT approachesTc from below. |
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| Keywords: | Two-dimensional, square lattice Ising model self-consistent molecular field approximation magnetization |
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