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1977

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January

  

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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.

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Fulltext is also available at DOI: 10.1070/PU1977v020n01ABEH005315
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)
BibTexBibNote ® (generic)BibNote ® (RIS)Medline RefWorks
RT Journal
T1 The renormalization-group method in the theory of phase transitions
A1 Patashinskii,A.Z.
A1 Pokrovskii,V.L.
PB Physics-Uspekhi
PY 1977
FD 10 Jan, 1977
JF Physics-Uspekhi
JO Phys. Usp.
VO 20
IS 1
SP 31-54
DO 10.1070/PU1977v020n01ABEH005315
LK https://ufn.ru/en/articles/1977/1/b/

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

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