A Contribution to the Phenomenological Theory of the Anomalies of the Elastic Constants near a Structural Phase Transition | Zendy

Wiszt E. | Zendy

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A Contribution to the Phenomenological Theory of the Anomalies of the Elastic Constants near a Structural Phase Transition

Author(s) -

Wiszt E.

Publication year - 1978

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.2220870233

Subject(s) - phase transition , basis (linear algebra) , perturbation theory (quantum mechanics) , tensor (intrinsic definition) , perturbation (astronomy) , symmetry (geometry) , thermodynamics , condensed matter physics , order (exchange) , constant (computer programming) , first order , physics , phase (matter) , ferroics , statistical physics , quantum phase transition , mathematics , quantum mechanics , quantum critical point , geometry , finance , computer science , economics , programming language

Relations for the temperature and frequency dependence of the linear elastic constants for crystals of arbitrary symmetry near a second‐order structural phase transition are derived on the basis of a thermodynamic potential including time and space (one‐, two‐, or three‐dimensional) fluctuations of the order parameter. The calculation is based on a perturbation expansion with respect to the small deformation tensor components and is given in detail for a two‐component order parameter. The results are used for the explanation of the elastic constant anomalies of GMO and Hg 2 Cl 2 . The influence of the higher‐order interaction terms above or below the phase transition is investigated with an application to the case of Hg 2 Cl 2 .

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