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Nematic liquid crystals at rough and fluctuating interfaces are analyzed within the Frank elastic theory and the Landau-de Gennes theory. We study specifically interfaces that locally favor planar anchoring. In the first part we reconsider…

Soft Condensed Matter · Physics 2009-11-11 Jens Elgeti , Friederike Schmid

We present a variety of structures formed by colloidal droplets at a nematic liquid crystal-air interface, where the elastic dipole-dipole, quadrupole-quadrupole, and dipole-quadrupole interactions are all essentially involved. The…

Soft Condensed Matter · Physics 2023-08-15 Nan Wang , Julian Evans , Chenxi Li , Victor M. Pergamenshchik , Sailing He

We calculate the interaction between two spherical colloidal particles embedded in the isotropic phase of a nematogenic liquid. The surface of the particles induces wetting nematic coronas that mediate an elastic interaction. In the weak…

Soft Condensed Matter · Physics 2009-11-07 P. Galatola , J. -B. Fournier

Nematic colloids exhibit a large diversity of topological defects and structures induced by colloidal particles in the orientationally ordered liquid crystal host fluids. These defects and field configurations define elastic interactions…

Soft Condensed Matter · Physics 2016-12-30 Bohdan Senyuk , Qingkun Liu , Ye Yuan , Ivan I. Smalyukh

Using molecular dynamics (MD) simulations we study the interactions between elongated colloidal particles (length to breath ratio > 1) in a nematic host. The simulation results are compared to the results of a Landau-de Gennes elastic free…

Soft Condensed Matter · Physics 2009-11-10 D. Andrienko , M. Tasinkevych , P. Patricio , M. P. Allen , M. M. Telo da Gama

Anisotropic fluids appear in a diverse array of systems, from liquid-crystal displays to bacterial swarms, and are characterized by orientational order. Large colloidal particles immersed in such environments disturb the medium's…

Soft Condensed Matter · Physics 2025-01-03 Thomas G. J. Chandler , Saverio E. Spagnolie

We consider a system of colloidal particles embedded in a paranematic -- an isotropic phase of a nematogenic medium above the temperature of the nematic-to-isotropic transition. In this state, the nematic order is induced by the boundary…

Analysis of PDEs · Mathematics 2025-08-08 Dmitry Golovaty , Jamie Taylor , Raghavendra Venkatraman , Arghir Zarnescu

We exploit the long-ranged elastic fields inherent to confined nematic liquid crystals to assemble colloidal particles trapped at the liquid crystal interface into reconfigurable structures with complex symmetries and packings. Spherical…

Anisotropic rod-like particles form liquid crystalline phases with varying degrees of orientational and translational order. When confined geometrically, these phases can give rise to topological defects, which can be selected and…

Soft Condensed Matter · Physics 2026-05-29 Gerardo Campos-Villalobos , André F. V. Matias , Ethan I. L. Jull , Lisa Tran , Marjolein Dijkstra

We predict theoretically the existence of a class of colloidal structures in nematic liquid crystal (NLC) cells, which are induced by surface patterns on the plates of the cell (like cells with UV-irradiated polyimide surfaces using micron…

Soft Condensed Matter · Physics 2015-06-19 S. B. Chernyshuk , O. M. Tovkach , B. I. Lev

The geometric shape, symmetry, and topology of colloidal particles often allow for controlling colloidal phase behavior and physical properties of these soft matter systems. In liquid crystalline dispersions, colloidal particles with low…

Soft Condensed Matter · Physics 2024-10-14 Ye Yuan , Ivan I. Smalyukh

In this article is proposed the general approach to determination the character of the interaction between colloidal particles in a different liquid crystals. The main idea of this approach are in the presentation of the colloidal particle…

Soft Condensed Matter · Physics 2013-11-11 B. I. Lev

We design a nematic collider for controlled out-of-equilibrium anisotropic aggregation of spherical colloidal particles. The nematic surrounding imparts dipolar interactions among the spheres. A bidirectional backflow of the nematic liquid…

Soft Condensed Matter · Physics 2015-05-20 Oleg P. Pishnyak , Sergij V. Shiyanovskii , Oleg D. Lavrentovich

Using laser tweezers and fluorescence confocal polarizing microscopy, we study colloidal interactions of solid microspheres in the nematic bulk caused by elastic distortions around the particles with strong tangential surface anchoring. The…

Soft Condensed Matter · Physics 2009-11-11 I. I. Smalyukh , O. D. Lavrentovich , A. N. Kuzmin , A. V. Kachynski , P. N. Prasad

Disclination configurations of a nematic liquid crystal are studied within a self-consistent molecular field theory. The theory is based on a tensor order parameter, and can accommodate anisotropic elastic energies without the known…

Soft Condensed Matter · Physics 2020-08-05 Cody D. Schimming , Jorge Viñals

Linear defects such as dislocations and disclinations in ordered materials attract foreign particles since they replace strong elastic distortions at the defect cores. In this work, we explore the behavior of isotropic droplets nucleating…

Colloidal particles in liquid crystals tend to induce topological defects and distortions of the molecular alignment within the surrounding anisotropic host medium, which results in elasticity-mediated interactions not accessible to their…

Soft Condensed Matter · Physics 2021-12-30 Bohdan Senyuk , Richmond E. Adufu , Ivan I. Smalyukh

We propose a simple theoretical model which explains a formation of dipolar 2D and 3D colloidal structures in nematic liquid crystal. Colloidal particles are treated as effective hard spheres interacting via their elastic dipole, quadrupole…

Soft Condensed Matter · Physics 2015-06-15 S. B. Chernyshuk , O. M. Tovkach , B. I. Lev

Spherical microparticles dispersed in nematic liquid crystals have been extensively investigated in the past years. Here, we report experimental studies on the elastic deformation, colloidal interaction and self-assembly of hematite…

Soft Condensed Matter · Physics 2020-07-15 Devika V S , Ravi Kumar Pujala , Surajit Dhara

Placing colloidal particles in predesigned sites represents a major challenge of the current state-of-the-art colloidal science. Nematic liquid crystals with spatially varying director patterns represent a promising approach to achieve a…