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Imaging techniques are essential tools for inquiring a number of properties from different materials. Liquid crystals are often investigated via optical and image processing methods. In spite of that, considerably less attention has been…

Data Analysis, Statistics and Probability · Physics 2019-01-30 H. Y. D. Sigaki , R. F. de Souza , R. T. de Souza , R. S. Zola , H. V. Ribeiro

An efficient description of the structures of liquids and, in particular, the structural changes that happen with liquids on supercooling remains to be a challenge. The systems composed of soft particles are especially interesting in this…

Soft Condensed Matter · Physics 2020-09-09 V. A. Levashov , R. E. Ryltsev , N. M. Chtchelkatchev

In this article we study a system of nonlinear PDEs modelling the electrokinetics of a nematic electrolyte material consisting of various ions species contained in a nematic liquid crystal. The evolution is described by a system coupling a…

Analysis of PDEs · Mathematics 2019-09-04 E. Feireisl , E. Rocca , G. Schimperna , A. Zarnescu

A free-energy functional for a crystal that contains both the symmetry conserved and symmetry broken parts of the direct pair correlation function is developed. The free-energy functional is used to investigate the crystallization of fluids…

Soft Condensed Matter · Physics 2015-05-13 Swarn Lata Singh , Yashwant Singh

We derive a closed equation for the empirical concentration of colloidal particles in the presence of both hydrodynamic and direct interactions. The ensemble average of our functional Langevin equation reproduces known deterministic Dynamic…

Statistical Mechanics · Physics 2015-06-19 A. Donev , E. Vanden-Eijnden

We derive a multiphysics model that accounts for network elasticity with spontaneous strains, swelling and nematic interactions in liquid crystal gels (LCGs). We discuss the coupling among the various physical mechanisms, with particular…

Soft Condensed Matter · Physics 2018-11-28 Alessandro Lucantonio , Antonio DeSimone

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

We use a recently proposed method [Berthier L.; Biroli G.; Bouchaud J.P.; Cipelletti L.; El Masri D.; L'Hote D.; Ladieu F.; Pierno M. Science 2005, 310, 1797.] to obtain an approximation to the 4-point dynamic correlation function from…

Soft Condensed Matter · Physics 2009-08-27 D. Fragiadakis , R. Casalini , C. M. Roland

In this work, we report a direct measurement of the forces exerted by a tubulin/kinesin active nematic gel as well as its complete rheological characterization, including the quantification of its shear viscosity, {\eta}, and its activity…

Soft Condensed Matter · Physics 2024-04-22 Ignasi Vélez-Cerón , Pau Guillamat , Francesc Sagués , Jordi Ignés-Mullol

This article re-examines a classic question in liquid-crystal physics: What are the elastic modes of a nematic liquid crystal? The analysis uses a recent mathematical construction, which breaks the director gradient tensor into four…

Soft Condensed Matter · Physics 2019-03-04 Jonathan V. Selinger

In nematic liquid crystals light is strongly scattered from director fluctuations. We are interested in the limit where the incoming light wave is scattered many times. Then, the light transport can be described by a diffusion equation for…

Soft Condensed Matter · Physics 2008-02-03 Holger Stark

The flow of a liquid crystal around a particle does not only depend on its shape and the viscosity coefficients but also on the direction of the molecules. We studied the resulting drag force on a sphere moving in a nematic liquid crystal…

Condensed Matter · Physics 2009-10-28 R. W. Ruhwandl , E. M. Terentjev

We study a one dimensional gas of $N$ noninteracting diffusing particles in a harmonic trap, whose stiffness switches between two values $\mu_1$ and $\mu_2$ with constant rates $r_1$ and $r_2$ respectively. Despite the absence of direct…

Statistical Mechanics · Physics 2024-03-13 Marco Biroli , Manas Kulkarni , Satya N. Majumdar , Gregory Schehr

In a crystalline solid under mechanical stress, a Frank-Read source is a pinned dislocation segment that repeatedly bows and detaches, generating concentric dislocation loops. We demonstrate that in nematic liquid crystals, an analogous…

An important aspect of molecular fluids is the relation between orientation and translation parts of the two-particle correlations. Especially the detailed knowledge of the influence of orientation correlations is needed to explain and…

Soft Condensed Matter · Physics 2009-10-31 M. Letz , A. Latz

We study various temporal correlation functions of a tagged particle in one-dimensional systems of interacting point particles evolving with Hamiltonian dynamics. Initial conditions of the particles are chosen from the canonical thermal…

Statistical Mechanics · Physics 2015-06-25 Anjan Roy , Abhishek Dhar , Onuttom Narayan , Sanjib Sabhapandit

Orbital-free density functional theory promises to deliver linear-scaling electronic structure calculations. This requires the knowledge of the non-interacting kinetic-energy density functional (KEDF), which should be accurate and must…

Materials Science · Physics 2024-12-12 Michael A. J. Mitchell , Teresa Del Aguila Ferrandis , Stefano Sanvito

We investigate the orientational properties of a homogeneous and inhomogeneous tetrahedral 4-patch fluid (Kern--Frenkel model). Using integral equations, either (i) HNC or (ii) a modified HNC scheme with simulation input, the full…

Soft Condensed Matter · Physics 2025-01-07 Alessandro Simon , Luc Belloni , Daniel Borgis , Martin Oettel

We study in detail the predictions of various theoretical approaches, in particular mode-coupling theory (MCT) and kinetically constrained models (KCMs), concerning the time, temperature, and wavevector dependence of multi-point correlation…

We present a detailed direct numerical simulation (DNS) designed to investigate the combined effects of walls and Ekman friction on turbulence in forced soap films. We concentrate on the forward-cascade regime and show how to extract the…

Chaotic Dynamics · Physics 2009-10-18 Prasad Perlekar , Rahul Pandit