Journal of Physical Studies 9(4), 325–332 (2005)
DOI: https://doi.org/10.30970/jps.09.325

CRITICAL PROPERTIES OF THE EXACTLY SOLVED STATISTICAL MODELS

E. D. Soldatova, A. N. Galdina

Dnipropetrovs'k National University, Physics Faculty,
13 Naukova Str., Dnipropetrovs'k, 49050
e-mail: soldat@ff.dsu.dp.ua, galdina@ff.dsu.dp.ua

The critical properties of some two-dimensional exactly solvable models of statistical mechanics, such as ferroelectric Lieb model, eight-vertex Baxter model, three spin model, hard square model, Potts model and Ashkin-Teller model, have been considered. The behaviour of the whole set of stability chacteristics for these models in the vicinity of the critical point has been examined. The types of critical behaviour have been determined. The violation of the scaling law hypothesis in Lieb model and hard square model as well as the violation of universality hypothesis in Baxter model and Ashkin-Teller model is explained.

PACS number(s): 64.60.Fr

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