Recent advances in surface-patterning techniques of liquid crystals have enabled the
precise creation of topological defects, which promise a variety of emergent applications …

Exotic structures with interesting physical and chemical properties can be achieved by self-
organizing engineered building blocks. The central aim for self-assembly is to precisely …

The ability to relay mechanical effects and information from the nanoscale to larger-length
scales has potential for the development of responsive and adaptive materials. Here, we …

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 …

In this paper, we first investigate the well-posedness and regularity of mild solution to a
stochastic active fluids model driven by the additive noise. A fully-discrete scheme is …

Lyotropic chromonic liquid crystal (LCLC) droplets hold significant potential in both scientific
research and practical applications. The incorporation of polyethyleneimine (PEI) and its …