Stability of disclination loop in pure twist nematic liquid crystals

Abstract

In this work, the annihilations dynamics and stability of disclination loop in a bulk pure twist nematic liquid crystal are investigated. This work is based on the Frank free energy and the nematodynamics equations. The energy dissipation is calculated by using two methods. In the first method, the energy dissipation is obtained from the Frank free energy. In the second method, it is calculated by using the nematodynamics equations. Finally, we derive a critical radius of disclination loop that above this radius, loop creation is energetically forbidden.