Dynamic Charged Structures in Nematics with Negative Anisotropy of Electroconductivity

Abstract

I would like to express my respect to Dzyaloshinski—co-author Method of Quantum Field Theory in Statistical Physics (Englewood Cliffs: Prentice Hall, 1963) written by Abrikosov, Gorkov, and Dzyaloshinski. This book had become the table book for young theoreticians. He is co-author of scientific discovery of magnetoelectric effect—classical result of the modern physics. Today the terms vector of Dzyaloshinskii and Dzyaloshinskii–Moriya interaction have become generally accepted. He always supports new ideas and search of new materials, for example, liquid crystals. The last ones have unique properties, for example they have unusual changes in specific phase diagrams and in the structures of boundaries of ferroelectric domains, which are bound to defects and impurities in liquid-crystalline lattices. It is shown here that besides the “true” electrohydrodynamic (EHD) and flexoelectric (FE) instabilities with endless y-stripes on xy-plane (EHD), at observance of necessary conditions, and x-stripes (FE), there are short EHD-formations and in the plane system which lead to a peculiar phase diagram in the oscillating electric field.