Pseudo-Casimir effect in nematic liquid crystals in frustrating geometries

P. Ziherl, F. Karimi Pour Haddadan, R. Podgornik, S. Žumer
2000 Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics  
We study theoretically the fluctuation-induced structural force in nematic systems frustrated by external fields. We focus on the uniform director structure in the hybrid-aligned film characterized by opposing surface fields and in the Fréedericksz cell where frustration arises from competing bulk and surface fields. We find that frustration gives rise to several interesting features of the interaction, including a crossover from attraction at small distances to repulsion at large distances.
more » ... large distances. The fluctuation-induced interaction is enhanced substantially by frustration, the enhancement being progressively stronger on approaching the transition from uniform to distorted structure. At the structural transition the interaction diverges and we show that the pretransitional singularity is universal. PACS number͑s͒: 61.30.Cz, 61.30.Gd PRE 61 P. ZIHERL et al.
doi:10.1103/physreve.61.5361 pmid:11031586 fatcat:golewbya3zahbf74pwbg5xb4am