Two Multi-particle collision dynamics algorithms that simulate nematic liquid crystals are
generalised to reproduce active behaviour. One of the algorithms is due to Shendruk and …

We develop an approximate, analytical model for the velocity of defects in active nematics by
combining recent results for the velocity of topological defects in nematic liquid crystals with …

Topological defects are a ubiquitous phenomenon in diverse physical systems. In nematic
liquid crystals (LCs), they are dynamic, physicochemically distinct, sensitive to stimuli, and …

Topological defects are a universal concept across many disciplines, such as
crystallography, liquid-crystalline physics, low-temperature physics, cosmology, and even …

We numerically investigate the effect of an asymmetric periodic obstacle array in a two-
dimensional active nematic. We find that activity in conjunction with the asymmetry leads to a …

The Peach-Koehler force between disclination lines was originally formulated in the study of
crystalline solids, and has since been adopted to provide a notion of interactions between …

The topological understanding of nematic liquid crystals is traditionally centered on
singularities, or defects, and their classification via homotopy theory. However, this approach …

A path-independent measure in order parameter space is introduced such that, when
integrated along any closed contour in a three-dimensional nematic phase, it yields the …

In solids, external stress induces the Peach-Koehler force, which drives dislocations to
move. Similarly, in liquid crystals, an external angular stress creates an analogous force …

We discuss the geometric formulation of continuum defects consisting of dislocations and
disclinations. After reviewing the metric affine geometry and the present geometric …