The renormalization-group method in the theory of phase transitions

The renormalization group for the statistical mechanics of a wave field is described. The hypothesis of scaling of correlations near an order-disorder phase-transition point is written in renormalization-group terms. The renormalization-group equations near a fixed point are investigated. The scaling dimensions (critical indices) of the principal quantities are found in the $\epsilon$-approximation. The stability of manycomponent systems and the question of asymptotic symmetry are investigated. The renormalization method is applied to the study of the dynamics of systems near a phase-transition point.

PACS: 64.60.Cn
DOI: 10.1070/PU1977v020n01ABEH005315
URL: https://ufn.ru/en/articles/1977/1/b/
Citation: Patashinskii A Z, Pokrovskii V L "The renormalization-group method in the theory of phase transitions" Sov. Phys. Usp. 20 31–54 (1977)

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%0 Journal Article
%T The renormalization-group method in the theory of phase transitions
%A A. Z. Patashinskii
%A V. L. Pokrovskii
%I Physics-Uspekhi
%D 1977
%J Phys. Usp.
%V 20
%N 1
%P 31-54
%U https://ufn.ru/en/articles/1977/1/b/
%U https://doi.org/10.1070/PU1977v020n01ABEH005315

Оригинал: Паташинский А З, Покровский В Л «Метод ренорм-группы в теории фазовых переходов» УФН 121 55–96 (1977); DOI: 10.3367/UFNr.0121.197701b.0055