Generalized Onsager theory of liquid crystals

Hydrodynamic Theories for Flows of Active Liquid Crystals and the Generalized Onsager Principle

Xiaogang Yang 1,†, Jun Li 2,†, M. Gregory Forest 3 and Qi Wang 1,2,4,* 1 Beijing Computational Science Research Center, Beijing 100193, China; [email protected] 2 School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, China; [email protected] 3 Departments of Mathematics and Biomedical Engineering, University of North Carolina at Chapel Hill, Chapel Hill, NC 27599, USA; ...

Generalized Onsager theory for strongly anisometric patchy colloids.

The implications of soft "patchy" interactions on the orientational disorder-order transition of strongly elongated colloidal rods and flat disks is studied within a simple Onsager-van der Waals density functional theory. The theory provides a generic framework for studying the liquid crystal phase behaviour of highly anisometric cylindrical colloids which carry a distinct geometrical pattern o...

Continuum Theory for Liquid Crystals

Continuum Theory of Biaxial Nematic Liquid Crystals

Theory of polymer-dispersed cholesteric liquid crystals.

A mean field theory is presented to describe cholesteric phases in mixtures of a polymer and a cholesteric liquid crystal. Taking into account an anisotropic coupling between a polymer and a liquid crystal, we examine the helical pitch, twist elastic constant, and phase separations. Analytical expressions of the helical pitch of a cholesteric phase and the twist elastic constant are derived as ...