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Density functional theories such as the Poniewierski-Stecki theory relate the elastic properties of nematic liquid crystals with their local liquid structure, i.e., with the direct correlation function (DCF) of the particles. We propose a…

Soft Condensed Matter · Physics 2013-03-19 Nguyen Hoang Phuong , Guido Germano , Friederike Schmid

Two dimensional simulations of non-cohesive granular matter in a biaxial shear tester are discussed. The effect of particle elasticity on the mechanical behavior is investigated using two complementary distinct element methods (DEM): Soft…

Computational Physics · Physics 2011-03-11 Dirk Kadau , Dominik Schwesig , Joerg Theuerkauf , Dietrich E. Wolf

We investigated the nematic to smectic transition undergone by parallel hard spherocylinders in the framework provided by the residual multi-particle entropy (RMPE) formalism. The RMPE is defined as the sum of all contributions to the…

Soft Condensed Matter · Physics 2011-10-26 D. Costa , F. Saija , P. V. Giaquinta

We study in detail the influence of molecular interactions on the Frank elastic constants of uniaxial nematic liquid crystals composed of molecules of cylindrical symmetry. A brief summary of the status of theoretical development for the…

Soft Condensed Matter · Physics 2007-05-23 Amit Srivastava , Shri Singh

Hard spheres are a central and important model reference system for both homogeneous and inhomogeneous fluid systems. In this paper we present new high-precision molecular-dynamics computer simulations for a hard sphere fluid at a planar…

Statistical Mechanics · Physics 2016-03-23 R. L. Davidchack , B. B. Laird , R. Roth

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

Ion-conducting glasses and polymer systems show several characteristic peculiarities in their composition-dependent diffusion properties and in their dynamic response. First we give a brief review of the current understanding of the ion…

Condensed Matter · Physics 2016-08-31 O. Durr , P. Pendzig , W. Dieterich , A. Nitzan

A fluid constituted of hard spherocylinders is studied using a density functional theory for non-spherical hard particles, which can be written as a function of weighted densities. This is based on an extended deconvolution of the Mayer…

Soft Condensed Matter · Physics 2015-06-18 René Wittmann , Klaus Mecke

Confined fluids display complex behavior due to layering and local packing. Here, we disentangle these effects by confining a hard-sphere fluid to the surface of a cylinder, such the circumference extends only over a few particle diameters.…

Soft Condensed Matter · Physics 2020-04-23 Charlotte F. Petersen , Lukas Schrack , Thomas Franosch

The phase-field crystal model (PFC) describes crystal structures at diffusive timescales through a periodic order parameter representing the atomic density. One of its main features is that it naturally incorporates elastic and plastic…

Materials Science · Physics 2023-07-07 Maik Punke , Vidar Skogvoll , Marco Salvalaglio

In the study of crystal nucleation via computer simulations, hard spheres are arguably the most extensively explored model system. Nonetheless, even in this simple model system, the complex thermodynamics of crystal nuclei can sometimes…

Soft Condensed Matter · Physics 2025-02-19 Marjolein de Jager , Carlos Vega , Pablo Montero de Hijes , Frank Smallenburg , Laura Filion

As is well known, hard-sphere crystals of the fcc and hcp type differ very little in their thermodynamic properties. Nonetheless, recent computer simulations by Pronk and Frenkel indicate that the elastic response to mechanical deformation…

Soft Condensed Matter · Physics 2013-05-29 Nazar Sushko , Paul van der Schoot

We derive the Frank elastic constants for nematic solutions of semiflexible polymers. We plot these results as a function of the coarse-grained Maier-Saupe quadrupole aligning strength and polymer stiffness ranging from rigid to highly…

Soft Condensed Matter · Physics 2022-07-18 Quinn MacPherson

Computer simulations of simple model systems for liquid crystals are briefly reviewed, with special emphasis on systems of ellipsoids. First, we give an overview over some of the most commonly studied systems (ellipsoids, Gay-Berne…

Materials Science · Physics 2007-05-23 Friederike Schmid , Nguyen H. Phuong

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

This paper outlines an energy-minimization finite-element approach to the computational modeling of equilibrium configurations for nematic liquid crystals under free elastic effects. The method targets minimization of the system free energy…

Numerical Analysis · Mathematics 2014-02-17 J. H. Adler , T. J. Atherton , D. B. Emerson , S. P. MacLachlan

A volume-filtered Euler-Lagrange large eddy simulation methodology is used to predict the physics of turbulent liquid-solid slurry flow through a horizontal pipe. A dynamic Smagorinsky model based on Lagrangian averaging is employed to…

Fluid Dynamics · Physics 2014-12-03 Sunil K. Arolla , Olivier Desjardins

Hard spherocylinders (cylinders of length $L$ and diameter $D$ capped at both ends with two hemispheres) provide a suitable model for investigating entropy-driven, mesophase formations in real colloidal fluids that are composed of rigid…

Statistical Mechanics · Physics 2011-10-26 D. Costa , F. Micali , F. Saija , P. V. Giaquinta

The recent discovery of ferroelectric nematics-genuine 3D ferroelectric fluids-has underscored the importance of electrostatic interactions in shaping the physical behaviour of soft matter systems. In this paper, we investigate the…

We consider a system of particles undergoing correlated diffusion with elastic boundary conditions on the half-line. By taking the large particle limit we establish existence and uniqueness for the limiting empirical measure valued process…

Probability · Mathematics 2022-10-19 Ben Hambly , Julian Meier , Andreas Sojmark
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