Elasticity of smectic liquid crystals with in-plane orientational order and dispiration asymmetry
Author(s) -
Jaya Kumar Alageshan,
Buddhapriya Chakrabarti,
Yashodhan Hatwalne
Publication year - 2017
Publication title -
physical review. e
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.896
H-Index - 304
eISSN - 2470-0053
pISSN - 2470-0045
DOI - 10.1103/physreve.95.022701
Subject(s) - liquid crystal , elasticity (physics) , asymmetry , lamellar structure , condensed matter physics , materials science , flexoelectricity , order (exchange) , thermal fluctuations , physics , composite material , quantum mechanics , finance , economics
The Nelson-Peliti formulation of the elasticity theory of isolated fluid membranes with orientational order\udemphasizes the interplay between geometry, topology, and thermal fluctuations. Fluid layers of lamellar liquid\udcrystals such as smectic-C, hexatic smectics, and smectic-C∗ are endowed with in-plane orientational order. We\udextend the Nelson-Peliti formulation so as to bring these smectics within its ambit. Using the elasticity theory of\udsmectics-C∗, we show that positive and negative dispirations (topological defects in Smectic-C∗ liquid crystals)\udwith strengths of equal magnitude have disparate energies—a result that is amenable to experimental tests
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