Testing approximate theories of first-order phase transitions on the two-dimensional Potts model |
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| Authors: | Chandan Dasgupta Rahul Pandit |
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| Institution: | (1) School of Physics and Astronomy, University of Minnesota, 55455 Minneapolis, Minnesota;(2) Department of Physics, Indian Institute of Science, 560012 Bangalore, India |
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| Abstract: | The two-dimensional,q-state (q>4) Potts model is used as a testing ground for approximate theories of first-order phase transitions. In particular, the predictions of a theory analogous to the Ramakrishnan-Yussouff theory of freezing are compared with those of ordinary mean-field (Curie-Wiess) theory. It is found that the Curie-Weiss theory is a better approximation than the Ramakrishnan-Yussouff theory, even though the former neglects all fluctuations. It is shown that the Ramakrishnan-Yussouff theory overestimates the effects of fluctuations in this system. The reasons behind the failure of the Ramakrishnan-Yussouff approximation and the suitability of using the two-dimensional Potts model as a testing ground for these theories are discussed. |
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| Keywords: | First-order phase transitions Curie-Weiss theory Ramakrishnan-Yussouff theory large-q expansions forq-state Potts models Monte Carlo simulations of Potts models |
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