On the Structural Instability of a Nematic in an Alternating Electric Field and Its Connection with Convection and the Flexoelectric Effect

Abstract

The threshold structural instability arising in the thin layer of a nematic liquid crystal (nematic) along the surface of an electrode during the flow of a weak direct injection current is described. Local, limited in length L_у, nuclei (precursors) of electrohydrodynamic and flexoelectric instabilities are assumed to be in this thin layer. In the case of electrohydrodynamic instability, such precursors have been called “bullets” (solitons) because of their specific appearance, and their length L_у is a measure of local perturbation of the orientational structure of a nematic. In the case of flexoelectric instability, pieces L_у are formed by an irregular system of short polarized flexoelectric domains. Such an instability corresponds to a system consisting of groups of stripes, which are characterized by the opposite motion of “bullets” along these stripes and the average velocity of this movement.