English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Anisotropic fluids appear in a diverse array of systems, from liquid-crystaldisplays to bacterial swarms, and are characterized by orientational order.Large colloidal particles immersed in such environments disturb the medium'sorientational order, however, resulting in a stored elastic energy within thebulk. As a consequence, multiple immersed bodies interact at equilibriumthrough fluid-mediated forces and torques, which depend on the bodies'positions, orientations, and shapes. We provide the equilibrium configurationof a model nematic liquid crystal with multiple immersed bodies or inclusionsin two-dimensions, as well as the associated body forces, torques, and surfacetractions. A complex variables approach is taken which leans on previous workby Crowdy (2020) for describing solutions with multiply-connected domains. Freeperiods of a complex director field, which correspond to topological defectpositioning and net topological charge, are determined numerically to minimizea global stored elastic energy, including a contribution of a weak (finite)anchoring strength on the body surfaces. Finally, a general, analyticaldescription of two-body far-field interactions is provided, along with examplesusing two cylindrical inclusions of arbitrary position and size, and twotriangles of arbitrary position and orientation.

Exact and approximate solutions for elastic interactions in a nematic liquid crystal