Abelian-Higgs-Navier-Stokes Hydrodynamics for Nematic Films with Defects

Details Abelian-Higgs-Navier-Stokes Hydrodynamics for Nematic Films with Defects Abelian-Higgs-Navier-Stokes Hydrodynamics for Nematic Films with Defects

1998-11-24

arxiv.org/abs/cond-mat/9811342v1

Physics

Condensed Matter

Soft Condensed Matter

12 pages

Scientific paper

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.

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