Dasgupta, Chandan ; Pandit, Rahul (1987) Testing approximate theories of first-order phase transitions on the two-dimensional Potts model Journal of Statistical Physics, 47 (3-4). pp. 375-396. ISSN 0022-4715
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Official URL: http://www.springerlink.com/content/mm1qx323538519...
Related URL: http://dx.doi.org/10.1007/BF01007516
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.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Springer-Verlag. |
| Keywords: | First-order Phase Transitions; Curie-weiss Theory; Ramakrishnan-yussouff Theory; Large-q Expansions Forq-state Potts Models; Monte Carlo Simulations of Potts Models |
| ID Code: | 22879 |
| Deposited On: | 25 Nov 2010 13:55 |
| Last Modified: | 10 Feb 2011 04:49 |
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