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Nucleation of Topological Dipoles¶in Nematic Liquid Crystals
Authors:Giovanna Guidone Peroli  Epifanio G Virga
Institution:(1) Dipartimento di Matematica, Università di Pavia, via Ferrata 1, 27100 Pavia, Italy, IT
Abstract:A topological dipole is a pair of point defects with opposite topological charges. In this paper we show by example how the nucleation of such a dipole within a smooth field can drive a metastable state into a stable one. Building on our previous work, we construct a mathematical model for the dynamics of both monopoles and dipoles in a capillary filled with a nematic liquid crystal. Though our analysis is fit for liquid crystals, a similar mechanism is also likely to apply to the field theory for other ordered media. Received: 10 July 1997 / Accepted: 25 June 1998
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