Saturn ring defect around a spherical particle immersed in a nematic liquid crystal
From MaRDI portal
Publication:2236831
DOI10.1007/s00526-021-02091-6zbMath1479.35357arXiv2004.04973OpenAlexW3201209327WikidataQ115386391 ScholiaQ115386391MaRDI QIDQ2236831
Dmitry Golovaty, Xavier Lamy, Lia Bronsard, Stanley Alama
Publication date: 26 October 2021
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.04973
Related Items (4)
Tetrahedral frame fields via constrained third-order symmetric tensors ⋮ Thin film liquid crystals with oblique anchoring and boojums ⋮ Torus-like solutions for the Landau-de Gennes model. II: Topology of \(\mathbb{S}^1\)-equivariant minimizers ⋮ Far-field expansions for harmonic maps and the electrostatics analogy in nematic suspensions
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Minimizers of the Landau-de Gennes energy around a spherical colloid particle
- Bifurcation analysis in a frustrated nematic cell
- Line defects in the small elastic constant limit of a three-dimensional Landau-de Gennes model
- Orientability and energy minimization in liquid crystal models
- On minimizers of a Landau-de Gennes energy functional on planar domains
- The principle of symmetric criticality
- Landau-De Gennes theory of nematic liquid crystals: the Oseen-Frank limit and beyond
- Harmonic maps with defects
- Stable defects of minimizers of constrained variational principles
- On the symmetry of minimizing harmonic maps in \(N\) dimensions
- On the asymptotic behavior of minimizers of the Ginzburg-Landau model in 2 dimensions
- Lower bounds for the energy of unit vector fields and applications
- Asymptotic behavior of minimizers for the Ginzburg-Landau functional with weight. II
- Spherical particle in nematic liquid crystal under an external field: the Saturn ring regime
- A remark on \(H^ 1\) mappings
- Refined approximation for minimizers of a Landau-de Gennes energy functional
- The Saturn ring effect in nematic liquid crystals with external field: effective energy and hysteresis
- Disclinations in limiting Landau-de Gennes theory
- Torus-like solutions for the Landau-de Gennes model. I: The Lyuksyutov regime
- Analysis of nematic liquid crystals with disclination lines
- Universal fine structure of nematic hedgehogs
- A Ginzburg–Landau problem with weight having minima on the boundary
- Lower Bounds for Generalized Ginzburg--Landau Functionals
- On the covergence of minimizers of singular perturbation functionals
- Biaxiality in the asymptotic analysis of a 2D Landau−de Gennes model for liquid crystals
- Ginzburg-Landau vortices
This page was built for publication: Saturn ring defect around a spherical particle immersed in a nematic liquid crystal
