3-Dimensional Solitons in Nematic Liquid Crystals subject to AC Fields
Maria-Carme Calderer (University of Minnesota)
Abstract: I will start with a survey of liquid crystal models and related mathematics, and subsequently focus on recent work on dynamics of structures that result from the coupling of electrokinetic, elastic and viscous effects. From point of view of applications the work falls into research of the role of liquid crystal based nanotransport devices. We show that spatially localized three-dimensional solitary waves of molecular reorientation can form under the application of an AC field: self-trapped bullets of oscillating molecular director, that move at very high speed perpendicularly to the electric field and to the initial alignment direction. The bullets or tuxedos are true solitons that preserve spatially confined shapes and survive collisions.
We analyze a model that combines equations of liquid crystal dynamics coupled with Poisson-Nearst-Planck equations of electrokinetics. Flexoelectricity is the main driving mechanism.
Work (joint with Ashley Earls) based on laboratory experiments by Lavrentovich et al.
Mathematics
Audience: researchers in the topic
Comments: Zoom Meeting ended
Global Seminar on Mathematical Modeling and Applications
Series comments: Description: Occasional seminar on mathematical modeling and related topics
In light of the worldwide cancellations of meetings workshops and conferences many of us are forced to switch to online mode of communication. Thus following the example of many other initiatives we decided to organize a Global Seminar on Mathematical Modeling and Applications.
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| Organizers: | Arkadz Kirshtein*, Pei Liu |
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