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Complete order parameter condensate of low‐symmetry phases upon structural phase transitions
Author(s) -
Chechin G. M.,
Ivanova T. I.,
Sakhnenko V. P.
Publication year - 1989
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221520205
Subject(s) - phase transition , symmetry (geometry) , landau theory , mathematics , space (punctuation) , order (exchange) , phase (matter) , set (abstract data type) , symmetry group , space group , physics , condensed matter physics , statistical physics , quantum mechanics , geometry , computer science , diffraction , x ray crystallography , finance , economics , programming language , operating system
A group‐theoretical method within the framework of the Landau theory of phase transitions is proposed to obtain and analyse a complete set of critical (primary) and noncritical (secondary) order parameters condensing as a result of a phase transition (complete condensate). The principal problems that can be solved by this method are formulated. A number of theorems describing the structure of complete condensate are proved. As an example, phase transitions are examined in crystals having O h 7 (Fd3m) space symmetry induced by six‐dimensional irreducible representations.