Colloidal particles as elastic triads in nematic liquid crystals

References

• Chernyshuk SB. High-order elastic terms, boojums and general paradigm of the elastic interaction between colloidal particles in the nematic liquid crystals. Eur Phys J E. 2014;37:6. doi:10.1140/epje/i2014-14006-5.
   PubMed Web of Science ®Google Scholar
• Senyuk B, Puls O, Tovkach O, et al. Hexadecapolar colloids. Nat Commun. 2016;7:10659. doi:10.1038/ncomms10659.
   PubMed Web of Science ®Google Scholar
• Chernyshuk SB, Tovkach OM, Lev BI. Elastic octopoles and colloidal structures in nematic liquid crystals. Phys Rev E. 2014;89:32505. doi:10.1103/PhysRevE.89.032505.
   Web of Science ®Google Scholar
• Poulin P, Stark H, Lubensky TC, et al. Novel colloidal interactions in anisotropic fluids. Science. 1997;275:1770. doi:10.1126/science.275.5307.1770.
   PubMed Web of Science ®Google Scholar
• Poulin P, Cabuil V, Weitz DA. Direct measurement of colloidal forces in an anisotropic solvent. Phys Rev Lett. 1997;79:4862–4865. doi:10.1103/PhysRevLett.79.4862.
   Web of Science ®Google Scholar
• Poulin P, Weitz DA. Inverted and multiple nematic emulsions. Phys Rev E. 1998;57:626–637. doi:10.1103/PhysRevE.57.626.
   Web of Science ®Google Scholar
• Kotar J, Vilfan M, Osterman N, et al. Interparticle potential and drag coefficient in nematic colloids. Phys Rev Lett. 2006;96:207801. doi:10.1103/PhysRevLett.96.207801.
   PubMed Web of Science ®Google Scholar
• Vilfan M, Osterman N, Čopič M, et al. Confinement effect on interparticle potential in nematic colloids. Phys Rev Lett. 2008;101:237801. doi:10.1103/PhysRevLett.101.237801.
   PubMed Web of Science ®Google Scholar
• Smalyukh II, Lavrentovich OD, Kuzmin AN, et al. Elasticity-mediated self-organization and colloidal interactions of solid spheres with tangential anchoring in a nematic liquid crystal. Phys Rev Lett. 2005;95:157801. doi:10.1103/PhysRevLett.95.157801.
   PubMed Web of Science ®Google Scholar
• Nazarenko V, Nych A, Lev B. Crystal structure in nematic emulsion. Phys Rev Lett. 2001;87:075504. doi:10.1103/PhysRevLett.87.075504.
   PubMed Web of Science ®Google Scholar
• Smalyukh II, Chernyshuk SB, Lev BI, et al. Ordered droplet structures at the liquid crystal surface and elastic-capillary colloidal interactions. Phys Rev Lett. 2004;93:117801. doi:10.1103/PhysRevLett.93.117801.
   PubMed Web of Science ®Google Scholar
• Muševic I, Škarabot M, Tkalec U, et al. Two-dimensional nematic colloidal crystals self-assembled by topological defects. Science. 2006;313:954–958. doi:10.1126/science.1129660.
   PubMed Web of Science ®Google Scholar
• Škarabot M, Ravnik M, Žumer S, et al. Interactions of quadrupolar nematic colloids. Phys Rev E. 2008;77:031705. doi:10.1103/PhysRevE.77.031705.
   Web of Science ®Google Scholar
• Ognysta U, Nych A, Nazarenko V, et al. 2D interactions and binary crystals of dipolar and quadrupolar nematic colloids. Phys Rev Lett. 2007;100:217803. doi:10.1103/PhysRevLett.100.217803.
   Web of Science ®Google Scholar
• Nych A, Ognysta U, Škarabot M, et al. Assembly and control of 3D nematic dipolar colloidal crystals. Nat Commun. 2013;4:1489. doi:10.1038/ncomms2486.
   PubMed Web of Science ®Google Scholar
• Lubensky TC, Pettey D, Currier N, et al. Topological defects and interactions in nematic emulsions. Phys Rev E. 1998;57:610–625. doi:10.1103/PhysRevE.57.610.
   Web of Science ®Google Scholar
• Ramaswamy S, Nityananda R, Gaghunathan VA, et al. Power-law forces between particles in a nematic. Mol Cryst Liq Cryst. 1996;288:175. doi:10.1080/10587259608034594.
   Web of Science ®Google Scholar
• Lev BI, Tomchuk PM. Interaction of foreign macrodroplets in a nematic liquid crystal and induced supermolecular structures. Phys Rev E. 1999;59:591–602. doi:10.1103/PhysRevE.59.591.
   Web of Science ®Google Scholar
• Lev BI, Chernyshuk SB, Tomchuk PM, et al. Symmetry breaking and interaction of colloidal particles in nematic liquid crystals. Phys Rev E. 2002;65:021709. doi:10.1103/PhysRevE.65.021709.
   Web of Science ®Google Scholar
• Pergamenshchik VM, Uzunova VA. Dipolar colloids in nematostatics: tensorial structure, symmetry, different types, and their interaction. Phys Rev E. 2011;83:021701. doi:10.1103/PhysRevE.83.021701.
   Web of Science ®Google Scholar
• Chernyshuk SB, Lev BI. Theory of elastic interaction of colloidal particles in nematic liquid crystals near one wall and in the nematic cell. Phys Rev E. 2011;84:011707. doi:10.1103/PhysRevE.84.011707.
   Web of Science ®Google Scholar
• Chernyshuk SB, Tovkach OM, Lev BI. Theory of elastic interaction between colloidal particles in a nematic cell in the presence of an external electric or magnetic field. Phys Rev E. 2012;85:011706. doi:10.1103/PhysRevE.85.011706.
   Web of Science ®Google Scholar
• Tovkach OM, Chernyshuk SB, Lev BI. Theory of elastic interaction between arbitrary colloidal particles in confined nematic liquid crystals. Phys Rev E. 2012;86:061703. doi:10.1103/PhysRevE.86.061703.
   Web of Science ®Google Scholar
• Landau LD, Lifsitz EM. The classical theory of fields. 4th ed. Oxford: Butterworth-Heinemann; 1994. p. 106.
   Google Scholar
• Alama S, Bronsard L, Lamy X. Analytical description of the saturn-ring defect in nematic colloids. Phys Rev E. 2016;93:012705. doi:10.1103/PhysRevE.93.012705.
   PubMed Web of Science ®Google Scholar
• Bateman H, Erdelyi A. Higher transcendental functions. Vol. 2. New York (NY): McGraw-Hill Book Co.; 1953. p. 179.
   Google Scholar
• Kaplan IG. Intermolecular interactions: physical picture, computational methods, and model potentials. Chichester (UK): Wiley; 2006. 34p.
   Google Scholar
• Noel CM, Bossis G, Chaze A-M, et al. Measurement of elastic forces between iron colloidal particles in a nematic liquid crystal. Phys Rev Lett. 2006;96:217801. doi:10.1103/PhysRevLett.96.217801.
   PubMed Web of Science ®Google Scholar
• Fukuda J, Stark H, Yoneya M, et al. Interaction between two spherical particles in a nematic liquid crystal. Phys Rev E. 2004;69:041706. doi:10.1103/PhysRevE.69.041706.
   Web of Science ®Google Scholar
• Stark H. Director field configurations around a spherical particle in a nematic liquid crystal. Eur Phys JB. 1999;10:311–321. doi:10.1007/s100510050860.
   Web of Science ®Google Scholar