Methods of the theory of singularities in the phenomenology of phase transitions

A review is presented on the methods of the theory of singularities applied to the Landau phenomenological theory of phase transitions. Constructive algorithms are presented that eliminate arbitrariness in the choice of the Landau potential and make it possible to exclude from consideration models with nonphysical results. The methods of singularity theory are illustrated by application to several real thermodynamic systems.

PACS: 64.60.Cn
DOI: 10.1070/PU1991v034n06ABEH002385
URL: https://ufn.ru/en/articles/1991/6/c/
Citation: Kut’in E I, Lorman V L, Pavlov S V "Methods of the theory of singularities in the phenomenology of phase transitions" Sov. Phys. Usp. 34 (6) 497–514 (1991)

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PT Journal Article
TI Methods of the theory of singularities in the phenomenology of phase transitions
AU Kut’in E I
FAU Kut’in EI
AU Lorman V L
FAU Lorman VL
AU Pavlov S V
FAU Pavlov SV
DP 10 Jun, 1991
TA Phys. Usp.
VI 34
IP 6
PG 497-514
RX 10.1070/PU1991v034n06ABEH002385
URL https://ufn.ru/en/articles/1991/6/c/
SO Phys. Usp. 1991 Jun 10;34(6):497-514

Оригинал: Кутьин Е И, Лорман В Л, Павлов С В «Методы теории особенностей в феноменологии фазовых переходов» УФН 161 (6) 109–147 (1991); DOI: 10.3367/UFNr.0161.199106c.0109