Dynamics of the Nematic-Isotropic sharp interface for the liquid crystal

TL;DR

This paper derives a sharp interface model for the nematic-isotropic phase transition in liquid crystals, capturing interface dynamics and field evolutions based on Landau-de Gennes theory.

Contribution

It introduces a novel sharp interface model for nematic-isotropic transitions derived via matched asymptotic expansions, including interface conditions and field equations.

Findings

Derived the sharp interface model from Landau-de Gennes theory.

Established evolution equations for velocity and director fields.

Formulated Young-Laplace jump condition on the interface.

Abstract

In this paper, we derive the sharp interface model of the nematic-isotropic phase transition from the Landau-de Gennes theory by using the matched asymptotic expansion method. The model includes the evolution equation of the velocity and director field of the liquid crystal, the sharp interface and Young-Laplace jump condition on the interface.