title: Elasticity of smectic liquid crystals with in-plane orientational order and dispiration asymmetry.
abstract: The Nelson-Peliti formulation of the elasticity theory of isolated fluid membranes with orientational order emphasizes the interplay between geometry, topology, and thermal fluctuations. Fluid layers of lamellar liquid crystals such as smectic-C, hexatic smectics, and smectic-C^{*} are endowed with in-plane orientational order. We extend the Nelson-Peliti formulation so as to bring these smectics within its ambit. Using the elasticity theory of smectics-C^{*}, we show that positive and negative dispirations (topological defects in Smectic-C^{*} liquid crystals) with strengths of equal magnitude have disparate energies-a result that is amenable to experimental tests.
authors.affiliation: Raman Research Institute, C.V. Raman Avenue, Bangalore 560 080, India.
authors.forename: Jaya Kumar
authors.initials: JK
authors.lastname: Alageshan
authors.affiliation: Department of Mathematical Sciences, University of Durham, Durham DH1 3LE, United Kingdom.
authors.forename: Buddhapriya
authors.initials: B
authors.lastname: Chakrabarti
authors.affiliation: Raman Research Institute, C.V. Raman Avenue, Bangalore 560 080, India.
authors.forename: Yashodhan
authors.initials: Y
authors.lastname: Hatwalne