4 papers
A One-Dimensional Variational Problem for Cholesteric Liquid Crystals with Disparate Elastic Constants
Dmitry Golovaty, Michael Novack, Peter Sternberg
We consider a one-dimensional variational problem arising in connection with a model for cholesteric liquid crystals. The principal feature of our study is the assumption that the…
A Novel Landau-de Gennes Model with Quartic Elastic Terms
Dmitry Golovaty, Michael Novack, Peter Sternberg
Within the framework of the generalized Landau-de Gennes theory, we identify a -tensor-based energy that reduces to the four-constant Oseen-Frank energy when it is considered ov…
Phase Transitions in Nematics: Textures with Tactoids and Disclinations
Dmitry Golovaty, Young-Ki Kim, Oleg D. Lavrentovich +2
We demonstrate that a first order isotropic-to-nematic phase transition in liquid crystals can be succesfully modeled within the generalized Landau-de Gennes theory by selecting an…
A Model Problem for Nematic-Isotropic Transitions with Highly Disparate Elastic Constants
Dmitry Golovaty, Michael Novack, Peter Sternberg +1
We analyze a model problem based on highly disparate elastic constants that we propose in order to understand corners and cusps that form on the boundary between the nematic and is…