The Expansion in Width for Domain Walls in Nematic Liquid Crystals in External Magnetic Field

TL;DR

This paper investigates how external magnetic fields affect the width of curved domain walls in uniaxial nematic liquid crystals, providing an improved theoretical approximation for the director field.

Contribution

It introduces an enhanced expansion method for domain wall width in nematic liquid crystals under magnetic fields, focusing on equal elastic constants.

Findings

Derived an approximate director field up to second order in magnetic coherence length.

Applied the expansion to curved domain walls in nematic liquid crystals.

Provided insights into the influence of magnetic fields on domain wall structure.

Abstract

The improved expansion in width is applied to curved domain walls in uniaxial nematic liquid crystals in external magnetic field. In the present paper we concentrate on the case of equal elastic constants. We obtain approximate form of the director field up to second order in magnetic coherence length.