This article re-examines a classic question in liquid-crystal physics: What are the elastic
modes of a nematic liquid crystal? The analysis uses a recent mathematical construction …

Biological systems exploit restricted degrees of freedom to drive self-assembly of nano-and
microarchitectures. Simplified systems, such as colloidal nanoparticles that behave as …

Since Onsager's seminal work, hard rods have been taken as a prototype of nematic liquid
crystals, characterized by uniaxial order and a uniform director field as a ground state. Here …

Despite the recognized role of liquid crystal microfluidics in generating programmable, self-
organized and guided flow properties, to date, the flow behavior of LCs within curved …

This study introduces cylindrical nematic liquid crystal (LC) shells. Shells as confinement
can provide soft matter with intriguing topology and geometry. Indeed, in spherical shells of …

Chromonic liquid crystals are lyotropic materials which are attracting growing interest for
their adaptability to living systems. To describe their elastic properties, the classical Oseen …

Our study of cholesteric lyotropic chromonic liquid crystals in cylindrical confinement reveals
the topological aspects of cholesteric liquid crystals. The double-twist configurations we …

By analyzing elastic theory for nematic liquid crystals, we distinguish three regimes of elastic
constants. In one regime, the Ericksen inequalities are satisfied, and the ground state of the …

Chromonic liquid crystals constitute a novel lyotropic phase, whose elastic properties have
so far been modeled within the classical Oseen-Frank theory, provided that the twist …

An elastic quartic twist theory has recently been proposed for chromonic liquid crystals,
intended to overcome the paradoxical conclusions encountered by the classical Oseen …