Testing approximate theories of first-order phase transitions on the two-dimensional Potts model
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.
- Research Organization:
- Univ. of Minnesota, Minneapolis
- OSTI ID:
- 6232362
- Journal Information:
- J. Stat. Phys.; (United States), Vol. 47:3-4
- Country of Publication:
- United States
- Language:
- English
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CRYSTAL MODELS
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CRYSTAL LATTICES
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ANGULAR MOMENTUM
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FIELD THEORIES
FUNCTIONS
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