ON STATISTICAL THEORY OF LIQUID CRYSTALS
https://doi.org/ 10.18384/2310-7251-2018-4-28-35
Abstract
The papers of outstanding theoretical physicist, Lenin Prize winner, Moscow State University professor, A.A. Vlasov - “About vibrational properties of an electron gas…”, where the kinetic self-consistent field equation for plasma was presented, had a great influence on the development of statistical physics in general. The ideas of self-consistent field approximation are widely used in condensed state physics. Modern statistical physics of liquid crystals based on the distribution function (or statistical operators of molecular complexes) method and variational principles is considered. The features of the structure, the hierarchy of scales, the spontaneous symmetry break, the quasi-averaged conception, the role of many-particle interactions and phase transitions, and the problems of liquid crystal state simulation are discussed.
References
1. Боголюбов Н.Н. Проблемы динамической теории в статистической физике. М.-Л.:ОГИЗ, Государственное издательство теоретико-технической литературы, 1946. 119 с.
2. Базаров И.П., Геворкян Э.В. Статистическая физика жидких кристаллов. М.: Издательство Московского университета, 1992. 496 с.
3. Базаров И.П., Геворкян Э.В. Статистическая теория твердых и жидких кристаллов. М.: Издательство Московского университета, 1983. 496 с.
4. Геворкян Э.В. Многочастичные взаимодействия в физике конденсированного состояния // Вестник Московского государственного областного университета. Серия: Физика-математика. 2013. № 3. С. 45-48.
5. Als-Nielsen J., Christensen F., Pershan P.S. Smectic-A Order at the Surface of a Nematic Liquid Crystal: Synchrotron X-Ray Diffraction // Physical Review Letters. 1982. Vol. 48. Iss. 16. P. 1107.
6. Gramsbergen E.F., Als-Nielsen J, de Jeu W.H. Smectic-A1-to-nematic phase transition: X-ray diffraction of the bulk and comparison with surface structure // Physical Review A. 1988. Vol. 37. Iss. 4. P. 1335-1340.
7. Als-Nielsen J., McMorrow D. Elements of Modern X-ray Physics; Second Edition. West Sussex, UK: John Wiley & Sons Ltd, 2011. 434 p.
8. Dozov I. On the spontaneous symmetry breaking in the mesophases of achiral banana-shaped molecules // Europhysics Letters. 2001. Vol. 56. No 2. P. 247-253.
9. A Comparison of the Conformational Distributions of the Achiral Symmetric Liquid Crystal Dimer CB7CB in the Achiral Nematic and Chiral Twist-Bend Nematic Phases / Emsley J.W., Lelli M., Lesage A., Luckhurst G.R. // The Journal of Physical Chemistry B. 2013. Vol. 117 (21). P. 6547-6557.
10. Mandle R.J. The Shape of Things to Come: The Formation of Modulated Nematic Mesophases at Various Length Scales // Chemistry. A European Journal. 2017. Vol. 23. Iss. 37. P. 8771-8779.
11. Spontaneously modulated chiral nematic structures of flexible bent-core liquid crystal dimers / Salili S.M., Ribeiro de Almeida R.R., Challa P.K., Sprunt S.N., Gleeson J.T., Jákli A. // Liquid Crystals. 2017. Vol. 44. Iss. 1. P. 160-167.
Review
Views:
68
Email this article 