3 papers
cond-mat.soft2021
Structural Landscapes in Geometrically Frustrated Smectics
Jingmin Xia, Scott MacLachlan, Timothy J. Atherton +1
A phenomenological free energy model is proposed to describe the behavior of smectic liquid crystals, an intermediate phase that exhibits orientational order and layering at the mo…
math.AP2021
One-dimensional ferronematics in a channel: order reconstruction, bifurcations and multistability
James Dalby, Patrick E. Farrell, Apala Majumdar +1
We study a model system with nematic and magnetic orders, within a channel geometry modelled by an interval, . The system is characterised by a tensor-valued nematic order…
math.NA2020
Augmented Lagrangian preconditioners for the Oseen-Frank model of nematic and cholesteric liquid crystals
Jingmin Xia, Patrick E. Farrell, Florian Wechsung
We propose a robust and efficient augmented Lagrangian-type preconditioner for solving linearizations of the Oseen-Frank model arising in cholesteric liquid crystals. By applying t…