Absolute minimum of Landau's thermodynamic potential
Journal Article
·
· Phys. Rev. B: Condens. Matter; (United States)
We present a general method for finding the absolute minimum of Landau's thermodynamic potential. The method is illustrated in the example of the most general sixth-degree potential for a physical system whose order parameters transform as one of the three-dimensional vector representations of O/sub h/, O, and T/sub h/. The results are used to explain the three successive phase transitions occurring in BaTiO/sub 3/. The phase-transition conditions are obtained in an analytic form. We show why the perovskite-type crystals differ vastly in phase-transition properties even though their compositions are so similar.
- Research Organization:
- California Institute of Technology, Pasadena, California 91125
- DOE Contract Number:
- AC03-81ER40050
- OSTI ID:
- 5985220
- Journal Information:
- Phys. Rev. B: Condens. Matter; (United States), Journal Name: Phys. Rev. B: Condens. Matter; (United States) Vol. 31:3; ISSN PRBMD
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
36 MATERIALS SCIENCE
360603 -- Materials-- Properties
656000* -- Condensed Matter Physics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ALKALINE EARTH METAL COMPOUNDS
ANALYTICAL SOLUTION
BARIUM COMPOUNDS
FIELD THEORIES
GROUP THEORY
MATHEMATICS
MINIMIZATION
ORDER PARAMETERS
OXYGEN COMPOUNDS
PHASE TRANSFORMATIONS
POTENTIALS
SYMMETRY BREAKING
THERMODYNAMICS
TITANATES
TITANIUM COMPOUNDS
TRANSITION ELEMENT COMPOUNDS
VARIATIONAL METHODS
360603 -- Materials-- Properties
656000* -- Condensed Matter Physics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ALKALINE EARTH METAL COMPOUNDS
ANALYTICAL SOLUTION
BARIUM COMPOUNDS
FIELD THEORIES
GROUP THEORY
MATHEMATICS
MINIMIZATION
ORDER PARAMETERS
OXYGEN COMPOUNDS
PHASE TRANSFORMATIONS
POTENTIALS
SYMMETRY BREAKING
THERMODYNAMICS
TITANATES
TITANIUM COMPOUNDS
TRANSITION ELEMENT COMPOUNDS
VARIATIONAL METHODS