Complete integrability and equilibrium thermodynamics of biaxial nematic systems with discrete orientational degrees of freedom

G De Matteis, F Giglio, A Moro - Proceedings of the …, 2024 - royalsocietypublishing.org
We study a discrete version of a biaxial nematic liquid crystal model with external fields via
an approach based on the solution of differential identities for the partition function. In the …

Twist-bend nematic phases of bent-shaped biaxial molecules

W Tomczyk, G Pająk, L Longa - Soft Matter, 2016 - pubs.rsc.org
How can a change in molecular structure affect the relative stability and structural properties
of the twist-bend nematic phase (NTB)? Here we extend the mean-field model1 (C. Greco …

Complete integrability and equilibrium thermodynamics of biaxial nematic systems with discrete orientational degrees of freedom

G De Matteis, F Giglio, A Moro - arXiv preprint arXiv:2309.13293, 2023 - arxiv.org
We study a discrete version of a biaxial nematic liquid crystal model with external fields via
an approach based on the solution of differential identities for the partition function. In the …

Biaxiality-induced magnetic field effects in bent-core nematics: Molecular-field and Landau theory

TBT To, TJ Sluckin, GR Luckhurst - … Review E—Statistical, Nonlinear, and Soft …, 2013 - APS
Nematic liquid crystals composed of bent-core molecules exhibit unusual properties,
including an enhanced Cotton–Mouton effect and an increasing isotropic (paranematic) …

Exact equations of state for nematics

G De Matteis, F Giglio, A Moro - Annals of Physics, 2018 - Elsevier
We propose a novel approach to the solution of nematic Liquid Crystal models based on the
derivation of a system of nonlinear wave equations for order parameters such that the …

Effect of an external magnetic field on the nematic-isotropic phase transition in mesogenic systems of uniaxial and biaxial molecules: A Monte Carlo study

N Ghoshal, K Mukhopadhyay, SK Roy - Physical Review E, 2014 - APS
We determine the nematic-isotropic coexistence curve terminating at the critical point in a
temperature-external field phase diagram for nematic liquid crystals with positive …

Monte Carlo investigation of critical properties of the Landau point of a biaxial liquid-crystal system

N Ghoshal, S Shabnam, S DasGupta, SK Roy - Physical Review E, 2016 - APS
Extensive Monte Carlo simulations are performed to investigate the critical properties of a
special singular point usually known as the Landau point. The singular behavior is studied …

Lattice Monte Carlo study of orientational order in a confined system of biaxial particles: Effect of an external electric field

JP Casquilho, JL Figueirinhas - Physical Review E, 2021 - APS
In this work we have used lattice Monte Carlo to determine the orientational order of a
system of biaxial particles confined between two walls inducing perfect order and subjected …

Effect of an external magnetic field on the phase behavior of the thermotropic melt of V-shaped molecules

MA Aliev, EA Ugolkova, NY Kuzminyh - Journal of Molecular Liquids, 2019 - Elsevier
The effect of an external magnetic field on the phase behavior of a melt of V-shaped biaxial
molecules has been examined within the Landau–de Gennes theory. The coefficients of the …

Landau theory of nematic phases

L Longa - Biaxial Nematic Liquid Crystals: Theory, Simulation …, 2015 - Wiley Online Library
This chapter describes the structure and predictions of the Landau theory of classical
nematic phases. In particular, it shows that a consistent theory should involve general …