Topological Defects

Thursday, March 1, 2018 - 3:30pm - 4:20pm
Michal Kowalczyk (University of Chile)
In this talk I will discuss qualitative properties of global minimizers of the Ginzburg-Landau energy which describes light-matter interaction in the theory of nematic liquid crystals near the Friedrichs transition. This model depends on two parameters: ɛ>0 which is small and represents the coherence scale of the system and a≧ 0 which represents the intensity of the applied laser light.
Thursday, January 18, 2018 - 10:00am - 10:50am
Igor Aronson (The Pennsylvania State University)
Living nematic is a realization of an active matter combining a nematic liquid crystal with swimming bacteria. The material exhibits a remarkable tendency towards spatio-temporal self-organization manifested in the creation of dynamic textures of self-propelled half-integer topological defects (disclinations or vortices). The well-established and validated model of nematic liquid crystals coupled to the bacterial dynamics is used to describe intricate properties of such a living nematic.
Tuesday, January 16, 2018 - 3:30pm - 4:20pm
Thomas Machon (University of Pennsylvania)
As materials with broken translational symmetry, defects in smectic liquid crystals do not follow the traditional homotopy theoretic classification scheme, and a more geometrical approach is required. Using methods from singularity theory we study the topological classification and combination rules for point and line defects in two and three dimensional smectics.
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