Solution landscape of a reduced Landau–de Gennes model on a hexagon

We investigate the solution landscape of a reduced Landau–de Gennes model for nematic liquid crystals (NLCs) on two-dimensional hexagon at fixed temperature, as function ?—the edge length. This is generic example approaches regular polygons. apply high-index optimization-based shrinking dimer method to systematically construct consisting multiple solutions, with different defect configurations, and relationships between them. report new stable T state index-0 that has an interior ?1/2 defect; classes saddle points defects referred H-class TD-class points; changes in Morse index ?2 increases novel pathways mediated by can control steer dynamical landscape. The range topological degrees, locations multiplicity offered these be used navigate complex landscapes NLCs other related soft matter systems.