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A systematic analysis of defect textures in facetted nanoparticles with polygonal configurations embedded in a nematic matrix is performed using the Landau-de Gennes model, homeotropic strong anchoring in a square domain with uniform…

Materials Science · Physics 2013-11-22 Paul M. Phillips , N. Mei , Ezequiel R. Soule , Linda Reven , Alejandro D. Rey

We present a method for simulating fluid vesicles with in-plane orientational ordering. The method involves computation of local curvature tensor and parallel transport of the orientational field on a randomly triangulated surface. It is…

Biological Physics · Physics 2015-05-18 N. Ramakrishnan , P. B. Sunil Kumar , John H. Ipsen

We test the performance of a recently proposed fundamental measure density functional of aligned hard cylinders by calculating the phase diagram of a monodisperse fluid of these particles. We consider all possible liquid crystalline…

Soft Condensed Matter · Physics 2009-11-13 Jose A. Capitan , Yuri Martinez-Raton , Jose A. Cuesta

We use nematic Multi-particle Collision Dynamics (N-MPCD) simulations to study confined nematic liquid crystals in square domains, with three distinct mean-field potentials: the classical Maier-Saupe and Marrucci-Greco models, and a more…

Soft Condensed Matter · Physics 2026-03-26 Humberto Híjar , Apala Majumdar

We consider a two-dimensional lattice model for liquid crystals consisting of long rods interacting via purely hard core interactions, with two allowed orientations defined by the underlying lattice. We rigorously prove the existence of a…

Mathematical Physics · Physics 2012-01-31 Margherita Disertori , Alessandro Giuliani

We investigate a number of complex patterns driven by the electro-convection instability in a planarly aligned layer of a nematic liquid crystal. They are traced back to various secondary instabilities of the ideal roll patterns bifurcating…

Soft Condensed Matter · Physics 2015-12-23 Alexei Krekhov , Bernd Dressel , Werner Pesch , Vladimir Delev , Eduard Batyrshin

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…

Soft Condensed Matter · Physics 2020-07-30 David Müller , Tobias A. Kampmann , Jan Kierfeld

We investigate the self-organization of a binary mixture of similar sized rods and dipolar soft spheres by means of Monte-Carlo simulations. We model the interparticle interactions by employing anisotropic Gay-Berne, dipolar and soft-sphere…

Soft Condensed Matter · Physics 2015-04-17 Stavros D. Peroukidis , Ken Lichtner , Sabine H. L. Klapp

We study living liquid crystals (LLCs), which are an amalgam of nematic liquid crystals (LCs) and active matter (AM). These LLCs are placed in contact with surfaces which impose planar/homeotropic boundary conditions on the director field…

Soft Condensed Matter · Physics 2024-01-12 Aditya Vats , Varsha Banerjee , Sanjay Puri

We present a Monte Carlo simulation of a polymer nematic for varying volume fractions, concentrating on the structure function of the sample. We achieve nematic ordering with stiff polymers made of spherical monomers that would otherwise…

Soft Condensed Matter · Physics 2009-10-28 Randall D. Kamien , Gary S. Grest

Expressions are obtained for force and couple densities and stress tensors in macroscopic models for nematic liquid crystals subjected to electric fields. The coupling between the liquid crystal orientational properties and the electric…

Soft Condensed Matter · Physics 2020-09-29 Eugene C. Gartland

Chromonic liquid crystals (CLCs) are lyotropic materials which are attracting growing interest for their adaptability to living systems. A considerable body of works has been devoted to exploring their properties and applications. In this…

Soft Condensed Matter · Physics 2025-09-04 Silvia Paparini

In this work we propose a hierarchy of Monte Carlo methods for sampling equilibrium properties of stochastic lattice systems with competing short and long range interactions. Each Monte Carlo step is composed by two or more sub - steps…

Numerical Analysis · Mathematics 2015-05-30 Evangelia Kalligiannaki , Markos A. Katsoulakis , Petr Plechac , Dionisios G Vlachos

The theory of elastic interaction of micron size axially symmetric colloidal particles immersed into confined nematic liquid crystal has been proposed. General formulas are obtained for the self energy of one colloidal particle and…

Soft Condensed Matter · Physics 2015-05-14 S. B. Chernyshuk , B. I. Lev

The Asakura-Oosawa model for colloid-polymer mixtures is studied by Monte Carlo simulations at densities inside the two-phase coexistence region of fluid and solid. Choosing a geometry where the system is confined between two flat walls,…

Soft Condensed Matter · Physics 2015-06-04 Debabrata Deb , Alexander Winkler , Peter Virnau , Kurt Binder

Microbullet particles, cylinders with one blunt and one spherical end, offer a novel platform to study the effects of anisotropy and curvature on colloidal assembly in complex fluids. Here, we disperse microbullets in…

Model chains are studied via Monte Carlo simulations which are deposited with a fixed flux on a substrate. They may represent, e.g., stiff lipophilic chains with an head group and tail groups mimicking the alkyl chain. After some subsequent…

Materials Science · Physics 2015-06-15 Pritam Kumar Jana , Andreas Heuer

Equilibrium director structures in two thin hybrid planar films of biaxial nematics are investigated through Markov chain Monte Carlo simulations based on a lattice Hamiltonian model within the London dispersion approximation. While the…

Soft Condensed Matter · Physics 2018-12-27 B. Kamala Latha , G. Sai Preeti , K. P. N. Murthy , V. S. S. Sastry

The influence of the molecular structure of the nematic liquid crystal (NLC) on the photoalignment process at the NLC -- polymer interface has been investigated experimentally. NLCs having exclusively phenyl-, or cyclohexane rings in the…

Soft Condensed Matter · Physics 2020-04-01 Ameer R. K. Nassrah , István Jánossy , Tibor Tóth-Katona

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