Dynamics of orientation fluctuations. Order parameter of a nematic liquid crystal
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), Vol. 61:3
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
LIQUID CRYSTALS
CRYSTAL MODELS
ORDER PARAMETERS
ORDER-DISORDER TRANSFORMATIONS
PHONONS
SELF-CONSISTENT FIELD
CRYSTAL LATTICES
FLUCTUATIONS
HAMILTONIANS
LEGENDRE POLYNOMIALS
SPECIFIC HEAT
TEMPERATURE DEPENDENCE
VARIATIONAL METHODS
CRYSTAL STRUCTURE
CRYSTALS
FLUIDS
FUNCTIONS
LIQUIDS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
PHASE TRANSFORMATIONS
PHYSICAL PROPERTIES
POLYNOMIALS
QUANTUM OPERATORS
QUASI PARTICLES
THERMODYNAMIC PROPERTIES
VARIATIONS
360603* - Materials- Properties