Marginal dimensions of the Potts model with invisible states
Autor: | Krasnytska, M., Sarkanych, P., Berche, B., Holovatch, Yu., Kenna, R. |
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Rok vydání: | 2015 |
Předmět: | |
Zdroj: | J. Phys. A: Math. Theor. 49 255001 (2016) |
Druh dokumentu: | Working Paper |
DOI: | 10.1088/1751-8113/49/25/255001 |
Popis: | We reconsider the mean-field Potts model with $q$ interacting and $r$ non-interacting (invisible) states. The model was recently introduced to explain discrepancies between theoretical predictions and experimental observations of phase transitions in some systems where the $Z_q$-symmetry is spontaneously broken. We analyse the marginal dimensions of the model, i.e., the value of $r$ at which the order of the phase transition changes. In the $q=2$ case, we determine that value to be $r_c = 3.65(5)$; there is a second-order phase transition there when $r Comment: 15 pages, 7 figures, 2 tables |
Databáze: | arXiv |
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