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We use a variational principle to derive a mathematical model for a nematic electrolyte in which the liquid crystalline component is described in terms of a second-rank order tensor. The model extends the previously developed director-based…

The development of synthetic microswimmers has advanced our understanding of the fundamental self-propelled mechanisms of living systems. However, there are scarce studies at the microscale within highly structured anisotropic media, such…

Soft Condensed Matter · Physics 2024-05-08 Antonio Tavera-Vázquez , Andrés Córdoba , Sam Rubin , Vincenzo Vitelli , Juan J. de Pablo

Nematic tactoids are spindle-shaped droplets of a nematic phase nucleated in the co-existing isotropic phase. According to equilibrium theory, their internal structure and shape are controlled by a balance between the elastic deformation of…

Soft Condensed Matter · Physics 2024-01-19 Mohammadamin Safdari , Roya Zandi , Paul van der Schoot

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…

Liquid crystals inevitably possess topological defect excitations generated through boundary conditions, applied fields or in quenches to the ordered phase. In equilibrium pairs of defects coarsen and annihilate as the uniform ground state…

Soft Condensed Matter · Physics 2013-06-05 Luca Giomi , Mark J. Bowick , Xu Ma , M. Cristina Marchetti

We present nonlinear dynamic equations for nematic and smectic $A$ liquid crystals in the presence of an alternating electric field and explain their derivation in detail. The local electric field acting in any liquid-crystalline system is…

Soft Condensed Matter · Physics 2023-06-30 E. S. Pikina , E. I. Kats , A. R. Muratov , V. V. Lebedev

Molecules of a nematic liquid crystal respond to an applied magnetic field by reorienting themselves in the direction of the field. Since the dielectric anisotropy of a nematic is small, it takes relatively large fields to elicit a…

Analysis of PDEs · Mathematics 2013-01-17 M. Carme Calderer , Antonio DeSimone , Dmitry Golovaty , Alexander Panchenko

We present a general theory of liquid crystals under inhomogeneous electric field in a Ginzburg-Landau scheme. The molecular orientation can be deformed by electric field when the dielectric tensor is orientation-dependent. We then…

Soft Condensed Matter · Physics 2009-11-11 Lionel Foret , Akira Onuki

Biaxial nematic ($N_B$) liquid crystals have been indicated as promising candidates for the design of next-generation displays with novel electro-optical properties and faster switching times. While at the molecular scale their existence is…

Soft Condensed Matter · Physics 2022-09-13 Álvaro Rodríguez-Rivas , Alessandro Patti , Alejandro Cuetos

By molecular modeling we demonstrate that the nematic long-range order discovered in bent-core liquid crystal systems should reveal further spatially homogeneous phases. Two of them are identified as a tetrahedratic nematic ($N_T$) phase…

Soft Condensed Matter · Physics 2009-04-30 Lech Longa , Grzegorz Pająk , Thomas Wydro

Polarization flutter, produced by an applied AC electric field drives an equilibrium ferroelectric nematic ($\mathrm{N_F}$) liquid crystal (LC) through a transition into a dissipative active ferroelectric nematic state exhibiting strong…

We use molecular dynamics to study the ordering of a nematic liquid crystal around a spherical particle or droplet. Homeotropic boundary conditions and strong anchoring create a hedgehog director configuration on the particle surface and in…

Soft Condensed Matter · Physics 2013-03-19 D. Andrienko , G. Germano , M. P. Allen

Achieving deterministic placement of self-assembled quantum dots (QDs) during epitaxial growth is essential for the reliable and efficient fabrication of high-quality single-photon sources and solid-state cavity quantum electrodynamics…

Materials Science · Physics 2025-11-26 Zihang Wang , Dirk Bouwmeester

Particles with directional interactions are promising building blocks for new functional materials and may serve as models for biological structures. Mutually attractive nanoparticles that are deformable due to flexible surface groups, for…

Soft Condensed Matter · Physics 2016-07-19 Chris H. J. Evers , Jurriaan A. Luiken , Peter G. Bolhuis , Willem K. Kegel

Quasicrystals are frequently encountered in condensed matter. They are important candidates for equilibrium phases from the atomic scale to the nanoscale. Here, we investigate the computational self-assembly of four quasicrystals in a…

Materials Science · Physics 2017-06-26 Pablo F. Damasceno , Sharon C. Glotzer , Michael Engel

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

Epitaxial self-assembled quantum dots (SAQDs) are of interest for nanostructured optoelectronic and electronic devices such as lasers, photodetectors and nanoscale logic. Spatial order and size order of SAQDs are important to the…

Materials Science · Physics 2007-06-09 Lawrence H. Friedman

Using computer simulations we investigate the microscopic structure of the singular director field within a nematic droplet. As a theoretical model for nematic liquid crystals we take hard spherocylinders. To induce an overall topological…

Soft Condensed Matter · Physics 2009-10-31 J. Dzubiella , M. Schmidt , H. Loewen

Anisotropic fluids, such as nematic liquid crystals, can form non-spherical equilibrium shapes known as tactoids. Predicting the shape of these structures as a function of material parameters is challenging and paradigmatic of a broader…

Numerical Analysis · Mathematics 2025-02-04 James H. Adler , Anca S. Andrei , Timothy J. Atherton

Liquid Crystalline Elastomers (LCEs) are active materials that are of interest due to their programmable response to various external stimuli such as light and heat. When exposed to these stimuli, the anisotropy in the response of the…

Soft Condensed Matter · Physics 2023-10-24 Kevin LoGrande , M. Ravi Shankar , Kaushik Dayal