Dynamics of orientation fluctuations. Order parameter of a nematic liquid crystal
Journal Article
·
· Theor. Math. Phys.; (United States)
OSTI ID:5265822
This paper develops a dynamical approach to the theory of nematic liquid crystals on the basis of the Maier-Saupe model. The relative mean square orientation displacements of the particles from the equilibrium position (the local fluctuations) are calculated as functions of the temperature up to the instability point of the system. It is shown that at sufficiently low temperatures there is a linear growth of the fluctuations, this acquiring a strongly anomalous nature in the neighborhood of the phase transition from the nematic liquid crystal to an isotropic liquid. The temperature dependences of the specific heat and the order parameter are discussed. The results are compared with experimental data and theoretical calculations.
- Research Organization:
- S.M. Kirov'Ural Polytechnic Institute
- OSTI ID:
- 5265822
- Journal Information:
- Theor. Math. Phys.; (United States), Journal Name: Theor. Math. Phys.; (United States) Vol. 61:3; ISSN TMPHA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
36 MATERIALS SCIENCE
360603* -- Materials-- Properties
CRYSTAL LATTICES
CRYSTAL MODELS
CRYSTAL STRUCTURE
CRYSTALS
FLUCTUATIONS
FLUIDS
FUNCTIONS
HAMILTONIANS
LEGENDRE POLYNOMIALS
LIQUID CRYSTALS
LIQUIDS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
ORDER PARAMETERS
ORDER-DISORDER TRANSFORMATIONS
PHASE TRANSFORMATIONS
PHONONS
PHYSICAL PROPERTIES
POLYNOMIALS
QUANTUM OPERATORS
QUASI PARTICLES
SELF-CONSISTENT FIELD
SPECIFIC HEAT
TEMPERATURE DEPENDENCE
THERMODYNAMIC PROPERTIES
VARIATIONAL METHODS
VARIATIONS
360603* -- Materials-- Properties
CRYSTAL LATTICES
CRYSTAL MODELS
CRYSTAL STRUCTURE
CRYSTALS
FLUCTUATIONS
FLUIDS
FUNCTIONS
HAMILTONIANS
LEGENDRE POLYNOMIALS
LIQUID CRYSTALS
LIQUIDS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
ORDER PARAMETERS
ORDER-DISORDER TRANSFORMATIONS
PHASE TRANSFORMATIONS
PHONONS
PHYSICAL PROPERTIES
POLYNOMIALS
QUANTUM OPERATORS
QUASI PARTICLES
SELF-CONSISTENT FIELD
SPECIFIC HEAT
TEMPERATURE DEPENDENCE
THERMODYNAMIC PROPERTIES
VARIATIONAL METHODS
VARIATIONS