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Complete integrability and equilibrium thermodynamics of biaxial nematic systems with discrete orientational degrees of freedom
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 …
an approach based on the solution of differential identities for the partition function. In the …
Orientational ordering of confined hard rods: The effect of shape anisotropy on surface ordering and capillary nematization
We examine the ordering properties of rectangular hard rods with length L and diameter D at
a single planar wall and between two parallel hard walls using the second virial density …
a single planar wall and between two parallel hard walls using the second virial density …
Hierarchy of orientational phases and axial anisotropies in the gauge theoretical description of generalized nematic liquid crystals
The paradigm of spontaneous symmetry breaking encompasses the breaking of the
rotational symmetries O (3) of isotropic space to a discrete subgroup, ie, a three-dimensional …
rotational symmetries O (3) of isotropic space to a discrete subgroup, ie, a three-dimensional …
Isotropic to biaxial nematic phase transition in an external magnetic field
PK Mukherjee, M Rahman - Chemical Physics, 2013 - Elsevier
The first theoretical observation of the tricritical point for the isotropic to biaxial nematic
phase transition of biaxial nematic liquid crystals in the presence of an external field is …
phase transition of biaxial nematic liquid crystals in the presence of an external field is …
Mean-field theory of isotropic-uniaxial nematic-biaxial nematic phase transitions in an external field
PK Mukherjee, AK De, A Mandal - Physica Scripta, 2019 - iopscience.iop.org
We present a simple mean-field theory to study the effects of an external magnetic field on
biaxial nematic liquid crystals. Isotropic-uniaxial nematic-biaxial nematic phase sequence in …
biaxial nematic liquid crystals. Isotropic-uniaxial nematic-biaxial nematic phase sequence in …
Nematic order in a simple-cubic lattice-spin model with full-ranged dipolar interactions
In a previous paper [Phys. Rev. E 90, 022506 (2014) PLEEE8 1539-3755
10.1103/PhysRevE. 90.022506], we studied the thermodynamic and structural properties of …
10.1103/PhysRevE. 90.022506], we studied the thermodynamic and structural properties of …
Nematic order by thermal disorder in a three-dimensional lattice spin model with dipolarlike interactions
At low temperatures, some lattice spin models with simple ferromagnetic or
antiferromagnetic interactions (for example, nearest-neighbor interaction being isotropic in …
antiferromagnetic interactions (for example, nearest-neighbor interaction being isotropic in …
Calamitic and antinematic orientational order produced by the generalized Straley lattice model
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 …
dimensional simple-cubic lattice; the pair potential is isotropic in orientation space, and …
Detection of an intermediate biaxial phase in the phase diagram of biaxial liquid crystals: Entropic sampling study
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 …
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
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 …
classical, D 2 h-symmetric particles (the generalized Straley model) on a three-dimensional …