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 …

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 …

Does the isotropic–biaxial nematic transition always exist? A new topology for the biaxial nematic phase diagram

GS Preeti, KPN Murthy, VSS Sastry, C Chiccoli… - Soft Matter, 2011 - pubs.rsc.org
The biaxial nematic phase diagram for the second rank Straley quadrupolar pair potential,
as explored until now, implies that a direct transition from a biaxial nematic to an isotropic …

Orientationally ordered phase produced by fully antinematic interactions: A simulation study

S Romano, G De Matteis - Physical Review E—Statistical, Nonlinear, and Soft …, 2011 - APS
We consider here a classical model, consisting of D 2 h symmetric particles, whose centers
of mass are associated with a three-dimensional simple-cubic lattice; the pair potential is …

Symmetry adapted molecular-field theory for thermotropic biaxial nematic liquid crystals and its expansion at low temperature

SS Turzi, TJ Sluckin - SIAM Journal on Applied Mathematics, 2013 - SIAM
We have analyzed some properties of mean field theories of thermotropic biaxial liquid
crystals with (D_2h) symmetry. The study consists of two parts. In the first part we reexamine …

Computer simulations of biaxial nematics

R Berardi, C Zannoni - Biaxial Nematic Liquid Crystals: Theory …, 2015 - Wiley Online Library
This chapter discusses the various types of models and computer simulations applied to
liquid crystals (LCs), providing details of the problems connected with biaxial nematics (NB) …

Calamitic and antinematic orientational order produced by the generalized Straley lattice model

F Bisi, G De Matteis, S Romano - … Review E—Statistical, Nonlinear, and Soft …, 2013 - APS
We consider here a classical model, consisting of D 2 h-symmetric particles in a three-
dimensional simple-cubic lattice; the pair potential is isotropic in orientation space, and …

Elastic Constants of a Disc-Like Nematic Liquid Crystal: Pseudo-Molecular Approach

PS Simonário, TM de Andrade, FCM Freire - Brazilian journal of physics, 2016 - Springer
The pseudo-molecular method is employed to obtain analytical expressions for the elastic
constants of an ensemble of anisotropic particles, in both disc-like and rod-like geometries …

Detection of an intermediate biaxial phase in the phase diagram of biaxial liquid crystals: Entropic sampling study

B Kamala Latha, R Jose, KPN Murthy, VSS Sastry - Physical Review E, 2014 - APS
We investigate the phase sequence of biaxial liquid crystals, based on a general quadratic
model Hamiltonian over the relevant parameter space, with a Monte Carlo simulation which …

Antinematic orientational order produced by an extreme case of the generalized Straley lattice model

F Bisi, G De Matteis, S Romano - … Review E—Statistical, Nonlinear, and Soft …, 2012 - APS
We address here a special, extreme case of the quadratic pair interaction potential between
classical, D 2 h-symmetric particles (the generalized Straley model) on a three-dimensional …