New extended objects in nematics: Disclinations, monopoles, pipesS. S. Rozhkov
Department of Theoretical Physics, Institute of Physics - 03028 Kyiv, Ukraine
received 13 May 2008; accepted in final form 16 July 2008; published September 2008
published online 2 September 2008
A scaling approach to the description of the dynamic textures of the order parameter field in a nematic liquid crystal is proposed. Such textures appear in a system under dissipative motions with the participation of extended objects: topological defects and suspended particles. The main idea of the approach is to transfer the law of the interaction between extended objects to the host system by redefining its spatiotemporal scales. I call this procedure the interactive scaling. Equations for the nematic director field are derived, and their disclination and monopole solutions are found. It is conjectured that the new type of topological defects, pipes, may exist.
61.30.Jf - Defects in liquid crystals.
64.70.M- - Transitions in liquid crystals.
11.27.+d - Extended classical solutions; cosmic strings, domain walls, texture.
© EPLA 2008