Biaxial nematic (N b) liquid crystals are a fascinating condensed matter phase that has
baffled, for more than thirty years, scientists engaged in the challenge of demonstrating its …

We study equilibrium liquid crystal configurations in three-dimensional geometries, within
the continuum Landau-de Gennes theory. We obtain explicit bounds for the equilibrium …

We study by means of virtual molecular dynamics computer experiments the response of a
bulk biaxial nematic to an applied external field and, in particular, the relative speed of …

We study a class of quadratic Hamiltonians which describe both fully attractive and partly
repulsive molecular interactions, characteristic of biaxial liquid crystal molecules. To treat the …

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 …

In this paper, a wealth of notations introduced in the past 30 years to denote second‐rank
orientational order parameters for biaxial nematics are compared, stressing sources of …

Starting from a dynamic tensor model about two second-order tensors, we derive the frame
hydrodynamics for the biaxial nematic phase using the Hilbert expansion. The coefficients in …

We present a phenomenological theory for the homogeneous phases of nematic liquid
crystals constituted by biaxial molecules. We propose a general polynomial potential in two …

In this article, we discuss nonstationary models for inhomogeneous liquid crystals driven out
of equilibrium by flow. Emphasis is put on those models which are used in the mathematics …

With the aim of investigating the stability conditions of biaxial nematic liquid crystals, we
study the effect of adding a non-adsorbing ideal depletant on the phase behavior of colloidal …