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DY: Dynamik und Statistische Physik

DY 34: Poster

DY 34.114: Poster

Montag, 7. März 2005, 15:30–18:00, Poster TU D

Violation of the scaling law and universality hypotheses in the statistical models — •Eugenia Soldatova and Alexandra Galdina — Dniepropetrovsk National University, Ukraine

Successes of the modern theory of critical phenomena have been connected with the fundamental conclusions about the critical state nature and existence of the class of systems, for which both the scaling law hypothesis and universality one are fulfilled. From this point of view real systems and consistent models contradicting to above-mentioned hypotheses are the problem of great importance. The 6-vertex Lieb model and 8-vertex Baxter model are such models. We have analyzed the critical properties of the models on the basis of the thermodynamic method of investigation of one-component system critical state. The method is based on the critical state definition and its stability examination. It leads to existence of four types of critical behaviour [1]. The following conclusions have been made:

The violation of the scaling law hypothesis in the Lieb model is caused by the realization of different behaviour types in subcritical and supercritical regions;

The violation of universality hypothesis is concerned with two different behaviour types depending on an interaction parameter. Moreover, one of these types is represented by three cases (with different critical slope of phase equilibrium curve).

[1] E.D.Soldatova, Cond. Matt. Phys. 2(4), 603 (1999)