论文信息 - Investigation of the critical point in models of the type of Dyson's hierarchical models

Investigation of the critical point in models of the type of Dyson's hierarchical models

We consider the classical spin models where the Hamiltonians are small modifications of the Hamiltonians of Dyson's hierarchical models. Under some assumptions we investigate rigorously the neighbourhood of the critical point and find the critical indices. It follows that in the cases under consideration phenomenological Landau's theory of phase transitions is valid.

Pavel Bleher | P. Bleher | Ja. G. Sinai | Ja. G. Sinaĭ

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