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 Tools annual

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 Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

We consider a Landau-de Gennes model for a connected cubic lattice scaffoldin a nematic host, in a dilute regime. We analyse the homogenised limit forboth cases in which the lattice of embedded particles presents or not cubicsymmetry and then we compute the free effective energy of the compositematerial. In the cubic symmetry case, we impose different types of surfaceanchoring energy densities, such as quartic, Rapini-Papoular or more generalversions, and, in this case, we show that we can tune any coefficient from thecorresponding bulk potential, especially the phase transition temperature. Inthe case with loss of cubic symmetry, we prove similar results in which theeffective free energy functional has now an additional term, which describes achange in the preferred alignment of the liquid crystal particles inside thedomain. Moreover, we compute the rate of convergence for how fast the surfaceenergies converge to the homogenised one and also for how fast the minimisersof the free energies tend to the minimiser of the homogenised free energy.

Cubic microlattices embedded in nematic liquid crystals: a Landau de-Gennes study