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Finite-size effects on order reconstruction around nematic defects

ROSSO, RICCARDO;VIRGA, EPIFANIO GUIDO GIOVANNI
2010-01-01
2010
The Mathematics category includes resources dealing with mathematics, applied mathematics, statistics and probability.
sì
WOS:000275053700066
2-s2.0-76649095979
Esperti anonimi
Inglese
Internazionale
STAMPA
81
021702
By use of the Landau-de Gennes phenomenological theory we study the texture of a nematic liquid crystal confined within a hybrid cell. Precisely, we consider cylindrically symmetric solutions containing topological defects dictated by appropriate boundary conditions. We focus our attention on cells whose dimensions are comparable with the biaxial correlation length $\xi _{b}$. For such severe confinements the order reconstruction (OR) configuration could be stable. Its structural details reflect the balance among boundary-enforced frustration, elastic penalties, and finite-size effects. In particular, we analyze the interplay between finite-size effects and topological defects. We show that defects are always pinned to the negatively (planar) uniaxial sheet of the OR structure. The presence of a ring defect can dramatically increase the critical threshold below which the OR structure is stable.
nematic liquid crystals; defects; boojums
3
info:eu-repo/semantics/article
262
Kralj, Samo; Rosso, Riccardo; Virga, EPIFANIO GUIDO GIOVANNI
1 Contributo su Rivista::1.1 Articolo in rivista
none
1.1 Articolo in rivista
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11571/206304
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