Chaining of hard disks in nematic needles: particle-based simulation of colloidal interactions in liquid crystals

@article{Mller2020ChainingOH,
  title={Chaining of hard disks in nematic needles: particle-based simulation of colloidal interactions in liquid crystals},
  author={David M{\"u}ller and Tobias A. Kampmann and Jan Kierfeld},
  journal={Scientific Reports},
  year={2020},
  volume={10}
}
Colloidal particles suspended in liquid crystals can exhibit various effective anisotropic interactions that can be tuned and utilized in self-assembly processes. We simulate a two-dimensional system of hard disks suspended in a solution of dense hard needles as a model system for colloids suspended in a nematic lyotropic liquid crystal. The novel event-chain Monte Carlo technique enables us to directly measure colloidal interactions in a microscopic simulation with explicit liquid crystal… 
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References

SHOWING 1-10 OF 71 REFERENCES
Colloidal Dispersions (Cambridge
  • 1990
crystals, glasses, and gels
  • Annu. Rev. Condens. Matter Phys. 4, 217–233. https ://doi. org/10.1146/annur ev-conma tphys -03021 2-18421 3
  • 2013
Colloids and the Depletion
  • Interaction (Springer,
  • 2011
Colloidal Liquid Crystals Confined to Synthetic Tactoids
TLDR
This work studies director fields of filamentous fd-viruses in quasi-2D lens-shaped chambers that mimic the shape of tactoids, the nematic droplets that form during isotropic-nematic phase separation, and finds a number of novel configurations that are metastable, yet long-lived.
MONTE CARLO SIMULATION OF TOPOLOGICAL DEFECTS IN THE NEMATIC LIQUID CRYSTAL MATRIX AROUND A SPHERICAL COLLOID PARTICLE
We use a Monte Carlo algorithm to simulate the director field around a spherical inclusion in a uniform nematic liquid crystal matrix. The resulting structure crucially depends on the relative
Frank Elastic Constants of the Hard-Rod Liquid Crystal
The elastic constants of a hard-rod liquid crystal are calculated using the Onsager theory, with results similar to those given by Priest.
Landau–de Gennes modelling of nematic liquid crystal colloids
Phenomenological Landau–de Gennes modelling based on the free energy of nematic liquid crystal colloids is reviewed. Nematic phase, gradient of order, and surface anchoring contributions to the total
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