Design of effective bulk potentials for nematic liquid crystals via colloidal homogenisation

@article{Canevari2019DesignOE,
  title={Design of effective bulk potentials for nematic liquid crystals via colloidal homogenisation},
  author={G. Canevari and A. Zarnescu},
  journal={arXiv: Analysis of PDEs},
  year={2019}
}
We consider a Landau-de Gennes model for a suspension of small colloidal inclusions in a nematic host. We impose suitable anchoring conditions at the boundary of the inclusions, and we work in the dilute regime - i.e., the size of the inclusions is much smaller than the typical separation distance between them, so that the total volume occupied by the inclusions is small. By studying the homogenised limit, and proving rigorous convergence results for local minimisers, we compute the effective… Expand
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  • A. Zarnescu
  • Medicine
  • Philosophical Transactions of the Royal Society A
  • 2021
Topics in the mathematical design of materials

References

SHOWING 1-10 OF 34 REFERENCES
Spherical Particle in Nematic Liquid Crystal Under an External Field: The Saturn Ring Regime
An Effective Model for Nematic Liquid Crystal Composites with Ferromagnetic Inclusions
Multiscale models of colloidal dispersion of particles in nematic liquid crystals.
Orientational coupling amplification in ferroelectric nematic colloids.
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