Unified Hydrodynamic Theory for Crystals, Liquid Crystals, and Normal Fluids

Continuum Theory for Liquid Crystals

Hydrodynamic Correlation Functions in Nematic Liquid Crystals

Résumé. — L'objet du présent article consiste en un réexamen du résultat suivant récemment obtenu par Forster : dans le cas des cristaux liquides nématiques, il n'est pas possible de déterminer de manière complète, à partir de la matrice hydrodynamique, les amplitudes liées à tous les modes diffusifs. Nous montrons qu'à partir des lois de symétrie d'inversion spatiale et d'inversion de temps, c...

Hydrodynamic instabilities in active cholesteric liquid crystals.

We describe the basic properties and consequences of introducing active stresses, with principal direction along the local director, in cholesteric liquid crystals. The helical ground state is found to be linearly unstable to extensile stresses, without threshold in the limit of infinite system size, whereas contractile stresses are hydrodynamically screened by the cholesteric elasticity to giv...

Molecular Crystals and Liquid Crystals

Molecular Crystals and Liquid Crystals

The problem of finding the equilibrium shape of a small particle by the Wulff construction is reviewed briefly, with emphasis on its applications to liquid crystals. The proof of Wulff’s theorem is stated in a concise mathematical form. Some typical equilibrium shapes of liquid crystalline cirops are described. When there is orientational order of the molecules in the liquid crystal but no tran...