On a simple molecular–statistical model of a liquid-crystal suspension of anisometric particles

Journal Article · Tue Nov 15 00:00:00 EST 2016 · Journal of Experimental and Theoretical Physics

DOI:https://doi.org/10.1134/S1063776116100101· OSTI ID:22617124

Lubnin, M. S.; Petrov, D. A. ^[1]

---

1. Perm State University (Russian Federation)

A molecular–statistical mean-field theory is constructed for suspensions of anisometric particles in nematic liquid crystals (NLCs). The spherical approximation, well known in the physics of ferromagnetic materials, is considered that allows one to obtain an analytic expression for the free energy and simple equations for the orientational state of a suspension that describe the temperature dependence of the order parameters of the suspension components. The transition temperature from ordered to isotropic state and the jumps in the order parameters at the phase-transition point are studied as a function of the anchoring energy of dispersed particles to the matrix, the concentration of the impurity phase, and the size of particles. The proposed approach allows one to generalize the model to the case of biaxial ordering.

• OSTI ID: 22617124
• Journal Information: Journal of Experimental and Theoretical Physics, Vol. 123, Issue 5; Other Information: Copyright (c) 2016 Pleiades Publishing, Inc.; Country of input: International Atomic Energy Agency (IAEA); ISSN 1063-7761
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
APPROXIMATIONS
CONCENTRATION RATIO
EQUATIONS
FERROMAGNETIC MATERIALS
FREE ENERGY
IMPURITIES
LIQUID CRYSTALS
MEAN-FIELD THEORY
ORDER PARAMETERS
PHASE TRANSFORMATIONS
STATISTICAL MODELS
SUSPENSIONS
TEMPERATURE DEPENDENCE
TRANSITION TEMPERATURE