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Testing approximate theories of first-order phase transitions on the two-dimensional Potts model

Dasgupta, Chandan and Pandit, Rahul (1987) Testing approximate theories of first-order phase transitions on the two-dimensional Potts model. In: Journal of Statistical Physics, 47 (3-4). pp. 375-396.

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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.

Item Type: Journal Article
Publication: Journal of Statistical Physics
Publisher: Springer
Additional Information: Copy right of this article belongs to Springer.
Keywords: First-order phase transitions;Curie Weiss theory; Ramakrishnan-Yussouff theory;large-q expansions for q-state Potts models;Monte Carlo simulations of Potts models.
Department/Centre: Division of Physical & Mathematical Sciences > Physics
Date Deposited: 15 Jan 2010 05:13
Last Modified: 19 Sep 2010 05:35
URI: http://eprints.iisc.ac.in/id/eprint/21071

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