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The stability of liquid crystal phases in presence of small amount of non-mesogenic impurities is of general interest for a large spectrum of technological applications and in the theories of binary mixtures. Starting from the known phase…

Soft Condensed Matter · Physics 2014-05-13 Carlos E. Alvarez , Martial Mazars

We develop a computational method for modeling electrostatic interactions of arbitrarily-shaped, polarizable objects on colloidal length scales, including colloids/nanoparticles, polymers, and surfactants, dispersed in explicit ion…

Soft Condensed Matter · Physics 2024-06-18 Emily Krucker-Velasquez , James W. Swan , Zachary Sherman

We explore theoretically the modifications to the interactions between charged surfaces across an ionic solution caused by the presence of dielectric polymers. Although the chains are neutral, the polymer physics and the electrostatics are…

Soft Condensed Matter · Physics 2007-05-23 O. A. Croze , M. E. Cates

Colloidal interactions in nematic liquid crystals can be described as interactions between elastic multipoles that depend on particle shape, topology, chirality, boundary conditions and induced topological defects. Here, we describe a…

Soft Condensed Matter · Physics 2020-01-06 Ye Yuan , Mykola Tasinkevych , Ivan I. Smalyukh

Structural and thermodynamic properties of the model solution containing charged oligomers and the equivalent number of counterions were studied by means of the canonical Monte Carlo simulation technique. The oligomers are represented as…

Soft Condensed Matter · Physics 2012-02-21 T. Sajevic , J. Rescic , V. Vlachy

Using a geometry-based fundamental measure density functional theory, we calculate bulk fluid phase diagrams of colloidal mixtures of vanishingly thin hard circular platelets and hard spheres. We find isotropic-nematic phase separation with…

Soft Condensed Matter · Physics 2015-06-11 Daniel de las Heras , Matthias Schmidt

The Landau-de Gennes free energy is used to study theoretically the effective interaction of a spherical "key" and an anisotropic "lock" colloidal particles. We assume identical anchoring properties of the surfaces of the key and of the…

Soft Condensed Matter · Physics 2017-01-18 Nuno M. Silvestre , M. Tasinkevych

We report a numerical investigation of two colloids immersed in a critical solvent, with the aim of quantifying the effective colloid-colloid interaction potential. By turning on an attraction between the colloid and the solvent particles…

Soft Condensed Matter · Physics 2012-09-12 Nicoletta Gnan , Emanuela Zaccarelli , Francesco Sciortino

Colloidal particles that are confined to an interface such as the air-water interface are an example of a two-dimensional fluid. Such dispersions have been observed to spontaneously form cluster and stripe morphologies in certain systems…

Soft Condensed Matter · Physics 2008-09-17 A. J. Archer

Using grand-canonical Monte Carlo simulations we investigate the impact of charged walls on the crystallization properties of charged colloidal suspensions confined between these walls. The investigations are based on an effective model…

Soft Condensed Matter · Physics 2015-05-18 S. Grandner , S. H. L. Klapp

We apply RISM (Reference Interaction Site Model) and PRISM (polymer-RISM) theories to calculate the site-site pair structure and the osmotic equation of state of suspensions of circular or hexagonal platelets (lamellar colloids) over a…

Soft Condensed Matter · Physics 2009-11-10 Dino Costa , Jean-Pierre Hansen , Ludger Harnau

We establish, as $\rho\to 0$, an asymptotic expansion for the minimal Dirichlet energy of $\mathbb S^2$-valued maps outside a finite number of three-dimensional particles of size $\rho$ with fixed centers $x_j\in\mathbb{R}^3$, under general…

Analysis of PDEs · Mathematics 2025-01-27 Lia Bronsard , Xavier Lamy , Dominik Stantejsky , Raghavendra Venkatraman

Clay-polymer dispersions in aqueous solutions have attracted a great interest in recent years due to their industrial applications and intriguing physical properties. Aqueous solutions of bare Laponite particles are known to age…

Soft Condensed Matter · Physics 2008-11-18 L. Zulian , B. Ruzicka , G. Ruocco

When a colloidal gel dries through evaporation, cracks are usually formed, which often reveal underlying processes at work during desiccation. Desiccating colloid droplets of few hundred $\mu l$ size show interesting effects of pattern…

Soft Condensed Matter · Physics 2013-08-15 Tajkera Khatun , Tapati Dutta , Sujata Tarafdar

We consider a monomer-dimer system with a strong attractive dimer-dimer interaction that favors alignment. In 1979, Heilmann and Lieb conjectured that this model should exhibit a nematic liquid crystal phase, in which the dimers are mostly…

Mathematical Physics · Physics 2018-09-26 Ian Jauslin , Elliott H. Lieb

We introduce a density-functional formalism based on the Parsons-Lee and the generalized van der Waals theories in order to describe the thermodynamics of anisotropic particle systems with steric interactions. For ellipsoids of revolution,…

Soft Condensed Matter · Physics 2018-12-31 Eduardo dos S. Nascimento

Nanoplatelets open up a wide range of possibilities for building materials with novel properties linked to their shape anisotropy. A challenge consists of controlling dynamically the order of positioning and orientation in three dimensions…

Soft Condensed Matter · Physics 2025-10-08 Imane Boucenna , Florent Carn , Ahmed Mourchid

We study the critical Casimir interaction between two spherical colloids immersed in a binary liquid mixture close to its critical demixing point. The surface of each colloid prefers one species of the mixture with the exception of a…

Statistical Mechanics · Physics 2020-04-22 Nima Farahmand Bafi , Piotr Nowakowski , Siegfried Dietrich

We model a melt of monodisperse side-chain liquid crystalline polymers as a melt of comb copolymers in which the side groups are rod-coil diblock copolymers. We consider both excluded volume and Maier-Saupe interactions. The first acts…

Soft Condensed Matter · Physics 2007-05-23 Marcela Hernandez , Harry Westfahl Junior

Phase separation in salt-free symmetric mixtures of oppositely charged rodlike polyelectrolytes is studied using quasi-analytical calculations. Stability analyses for the isotropic-isotropic and the isotropic-nematic phase transitions in…

Soft Condensed Matter · Physics 2010-07-20 Rajeev Kumar , Debra Audus , Glenn H. Fredrickson