Universität zu Köln

Obukhov, Yuri N., Ramos, Tomas ORCID: 0000-0003-2182-7878 and Rubilar, Guillermo F. (2012). Relativistic Lagrangian model of a nematic liquid crystal interacting with an electromagnetic field. Phys. Rev. E, 86 (3). COLLEGE PK: AMER PHYSICAL SOC. ISSN 1550-2376

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Abstract

We develop a relativistic variational model for a nematic liquid crystal interacting with an electromagnetic field. The constitutive relation for a general anisotropic uniaxial diamagnetic and dielectric medium is analyzed. We discuss light wave propagation in this moving uniaxial medium, for which the corresponding optical metrics are identified explicitly. A Lagrangian for the coupled system of a nematic liquid crystal and the electromagnetic field is constructed, from which a complete set of equations of motion for the system is derived. The canonical energy-momentum and spin tensors are systematically obtained. We compare our results with those within the nonrelativistic models. As an application of our general formalism, we discuss the so-called Abraham-Minkowski controversy on the momentum of light in a medium.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Obukhov, Yuri N. UNSPECIFIED UNSPECIFIED UNSPECIFIED Ramos, Tomas UNSPECIFIED orcid.org/0000-0003-2182-7878 UNSPECIFIED Rubilar, Guillermo F. UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-482932
DOI:	10.1103/PhysRevE.86.031703
Journal or Publication Title:	Phys. Rev. E
Volume:	86
Number:	3
Date:	2012
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	1550-2376
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language CONSTITUTIVE EQUATIONS; VARIATIONAL PRINCIPLE; THERMODYNAMICS; MOMENTUM; FLUID; MECHANICS; DYNAMICS; LIGHT Multiple languages Physics, Fluids & Plasmas; Physics, Mathematical Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/48293