Elastic Constants of a Disc-Like Nematic Liquid Crystal: Pseudo-Molecular Approach P. S. ´ 1 · T. M. de 1 · F. C. M.1



Document title: Elastic Constants of a Disc-Like Nematic Liquid Crystal: Pseudo-Molecular Approach P. S. ´ 1 · T. M. de 1 · F. C. M.1
Journal: Brazilian journal of physics
Database: PERIÓDICA
System number: 000390688
ISSN: 0103-9733
Authors: 1
1
1
Institutions: 1Universidade Estadual de Maringa, Departamento de Fısica, Maringa, Parana. Brasil
Year:
Season: Feb
Volumen: 46
Number: 1
Pages: 26-34
Country: Brasil
Language: Inglés
Document type: Artículo
Approach: Experimental, aplicado
English abstract The pseudo-molecular method is employed to obtain analytical expressions for the elastic constants of an ensemble of anisotropic particles, in both disc-like and rodlike geometries. These particles interact via a phenomenological pair potential constructed from the non-spherical correction to the dispersion forces between two identical molecules. The molecular shape appears in the calculations of the elastic constants in two different cases. The first case considers a molecular volume of ellipsoidal shape continuously deformed from a positive (prolate spheroid, rodlike molecule) to large negative (oblate spheroid, disc-like molecule) values of a parameter describing some kind of eccentricity. The second one considers a molecular volume shape continuously deformed from a cylinder (calamitic molecule) to a plane disc by changing the ratio between the diameter of the cylinder and its long axis. The particular cases of Maier-Saupe and Nehring-Saupe interactions are obtained as simple limiting cases of the general pair potential interaction. These general results may be helpful to understand the limits of the pseudo-molecular method, and to understand the origin of elastic constants in discotic liquid crystals from a molecular perspective
Disciplines: Física y astronomía
Keyword: Física de materia condensada,
Cristales líquidos,
Constantes elásticas,
Método pseudomolecular,
Modelos de red
Keyword: Physics and astronomy,
Condensed matter physics,
Liquid crystals,
Elastic constants,
Pseudo-molecular method,
Lattice models
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