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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RT Journal
T1 Methods of the theory of singularities in the phenomenology of phase transitions
A1 Kut’in,E.I.
A1 Lorman,V.L.
A1 Pavlov,S.V.
PB Physics-Uspekhi
PY 1991
FD 10 Jun, 1991
JF Physics-Uspekhi
JO Phys. Usp.
VO 34
IS 6
SP 497-514
DO 10.1070/PU1991v034n06ABEH002385
LK https://ufn.ru/en/articles/1991/6/c/

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