Fluctuation phenomena in the tricritical behavior of two models with tensor order parameter
Journal Article
·
· Theor. Math. Phys.; (United States)
OSTI ID:6982533
This paper uses the fluctuation theory of phase transitions to study tricritical behavior in the isotropic phase of two models in which the order parameter is p-dimensional symmetric traceless tensor. For arbitrary values of p, differential equations are obtained for the vertex functions from the second to the sixth orders as functions of the reciprocal susceptibility. The cases p = 1, 2, 3 are studied. For p = 1 and 2, the models exhibit tricritical behavior. For p = 3, allowance for fluctuations leads in the general case to the appearance of instability in the critical behavior of the models and to the replacement of tricritical behavior by a phase transition of the first kind.
- Research Organization:
- Leningrad State Univ.
- OSTI ID:
- 6982533
- Journal Information:
- Theor. Math. Phys.; (United States), Journal Name: Theor. Math. Phys.; (United States) Vol. 64:2; ISSN TMPHA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CRYSTAL MODELS
CRYSTAL-PHASE TRANSFORMATIONS
CRYSTALS
ENERGY LEVELS
ENTROPY
FIELD THEORIES
FLUCTUATIONS
FLUIDS
FUNCTIONS
HAMILTONIANS
INVARIANCE PRINCIPLES
LATTICE FIELD THEORY
LIQUID CRYSTALS
LIQUIDS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
ORDER PARAMETERS
ORDER-DISORDER TRANSFORMATIONS
P STATES
PHASE TRANSFORMATIONS
PHYSICAL PROPERTIES
QUANTUM FIELD THEORY
QUANTUM OPERATORS
SPECIFIC HEAT
TENSORS
THERMODYNAMIC PROPERTIES
THERMODYNAMICS
VARIATIONS
VERTEX FUNCTIONS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CRYSTAL MODELS
CRYSTAL-PHASE TRANSFORMATIONS
CRYSTALS
ENERGY LEVELS
ENTROPY
FIELD THEORIES
FLUCTUATIONS
FLUIDS
FUNCTIONS
HAMILTONIANS
INVARIANCE PRINCIPLES
LATTICE FIELD THEORY
LIQUID CRYSTALS
LIQUIDS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
ORDER PARAMETERS
ORDER-DISORDER TRANSFORMATIONS
P STATES
PHASE TRANSFORMATIONS
PHYSICAL PROPERTIES
QUANTUM FIELD THEORY
QUANTUM OPERATORS
SPECIFIC HEAT
TENSORS
THERMODYNAMIC PROPERTIES
THERMODYNAMICS
VARIATIONS
VERTEX FUNCTIONS