Abelian-Higgs-Navier-Stokes Hydrodynamics for Nematic Films with Defects
Soft Condensed Matter
2007-05-23 v1
Abstract
A new theory of hydrodynamics of uniaxial nematic liquid crystal films in the presence of defects is developed. A gauge field incorporating screening is introduced, resulting in the static elastic free energy having the form of a two-dimensional Abelian-Higgs model. Hydrodynamic equations are derived via the standard methods of de~Groot and Mazur. By working in the vicinity of the Bogomol'nyi equations consequences for defect centre motion are outlined.
Cite
@article{arxiv.cond-mat/9811342,
title = {Abelian-Higgs-Navier-Stokes Hydrodynamics for Nematic Films with Defects},
author = {G. Kurz and S. Sarkar},
journal= {arXiv preprint arXiv:cond-mat/9811342},
year = {2007}
}
Comments
12 pages