Defect Configurations in Liquid Crystals

Description/Abstract/Artist Statement

The Landau-de Gennes theory constitutes a continuum framework for characterizing nematic liquid crystal configurations, employing the Q-tensor order parameter as its fundamental element—a 3×3 symmetric and traceless matrix. Within the model's free energy, a distinctive bulk potential emerges, as a natural imposition of a physical constraint on the eigenvalues of the Q-tensors. Our focus in this presentation lies in exploring the singular aspects of free energy in a limiting case and delving into the associated defect configurations.

Presenting Author Name/s

Jacob Thompson

Faculty Advisor/Mentor

Dr. Xiang Xu

Faculty Advisor/Mentor Department

Mathematics and Statistics

College Affiliation

College of Sciences

Presentation Type

Poster

Disciplines

Partial Differential Equations

Session Title

Poster Session

Location

Learning Commons Lobby @ Perry Library

Start Date

3-30-2024 8:30 AM

End Date

3-30-2024 10:00 AM

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Mar 30th, 8:30 AM Mar 30th, 10:00 AM

Defect Configurations in Liquid Crystals

Learning Commons Lobby @ Perry Library

The Landau-de Gennes theory constitutes a continuum framework for characterizing nematic liquid crystal configurations, employing the Q-tensor order parameter as its fundamental element—a 3×3 symmetric and traceless matrix. Within the model's free energy, a distinctive bulk potential emerges, as a natural imposition of a physical constraint on the eigenvalues of the Q-tensors. Our focus in this presentation lies in exploring the singular aspects of free energy in a limiting case and delving into the associated defect configurations.