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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

We propose a density functional for anisotropic fluids of hard body particles. It interpolates between the well-established geometrically based Rosenfeld functional for hard spheres and the Onsager functional for elongated rods. We test the…

Materials Science · Physics 2009-11-07 Giorgio Cinacchi , Friederike Schmid

We investigate isotropic-isotropic, isotropic-nematic and nematic-nematic phase coexistence in binary mixtures of circular platelets with vanishing thickness, continuous rotational degrees of freedom and radial size ratios $\lambda$ up to…

Soft Condensed Matter · Physics 2015-05-18 Jonathan Phillips , Matthias Schmidt

We investigate the isotropic-to-nematic phase transition in systems of hard helical particles, using Onsager theory and Monte Carlo computer simulations. Motivation of this work resides in the ubiquity of the helical shape motif in many…

Soft Condensed Matter · Physics 2013-05-01 Elisa Frezza , Alberta Ferrarini , Hima Bindu Kolli , Achille Giacometti , Giorgio Cinacchi

We have employed the Density Functional Theory formalism to investigate the nematic-isotropic capillary transitions of a nematogen confined by walls that favor antagonist orientations to the liquid crystal molecules (hybrid cell). We…

Statistical Mechanics · Physics 2009-11-10 I. Rodriguez-Ponce , J. M. Romero-Enrique , L. F. Rull

Forty-five years after the point de d\'epart [1] of density functional theory, its applications in chemistry and the study of electronic structures keep steadily growing. However, the precise form of the energy functional in terms of the…

Chemical Physics · Physics 2019-10-29 Philippe Blanchard , José M. Gracia-Bondía , Joseph C. Várilly

We develop a classical density functional theory (DFT) for two site associating fluids in spatially uniform external fields which exhibit orientational inhomogeneities. The Helmholtz free energy functional is obtain using Wertheim's…

Soft Condensed Matter · Physics 2015-06-17 B. D. Marshall , W. G. Chapman , M. M. Telo da Gama

A geometry-based density functional theory is presented for mixtures of hard spheres, hard needles and hard platelets; both the needles and the platelets are taken to be of vanishing thickness. Geometrical weight functions that are…

Soft Condensed Matter · Physics 2009-11-11 Ansgar Esztermann , Hendrik Reich , Matthias Schmidt

We develop a free energy functional for an inhomogeneous system that contains both symmetry conserved and symmetry broken parts of the direct pair correlation function. These correlation functions are found by solving the Ornstein- Zernike…

Soft Condensed Matter · Physics 2009-11-11 Pankaj Mishra , Yashwant Singh

Based on fundamental measure theory, a Helmholtz free energy density functional for three-component mixtures of hard spheres with general, non-additive interaction distances is constructed. The functional constitutes a generalization of the…

Soft Condensed Matter · Physics 2011-09-28 Matthias Schmidt

Within an Onsager-like density functional theory we explore the thermodynamic and structural properties of an isotropic and nematic fluid of hard needle-like colloids in contact with a hard substrate coated with a soft short-ranged…

Soft Condensed Matter · Physics 2009-11-11 K. Shundyak , R. van Roij

We explore models of hard-rod fluids with a finite number of allowed orientations, and construct their bulk phase diagrams within Onsager's second virial theory. For a one-component fluid, we show that the discretization of the orientations…

Soft Condensed Matter · Physics 2007-05-23 Kostya Shundyak , René van Roij

Active nematics are conceptually the simplest orientationally ordered phase of self-driven particles, but have proved to be a perennial source of surprises. We show here through numerical solution of coarse-grained equations for order…

Soft Condensed Matter · Physics 2014-10-22 Shradha Mishra , Sanjay Puri , Sriram Ramaswamy

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

The molecular density functional theory of fluids provides an exact theory for computing solvation free energies in implicit solvents. One of the reasons it has not received nearly as much attention as quantum density functional theory for…

Statistical Mechanics · Physics 2019-02-04 David M. Rogers

We showcase the advantages of orbital-free density-potential functional theory (DPFT), a more flexible variant of Hohenberg-Kohn density functional theory. DPFT resolves the usual trouble with the gradient-expanded kinetic energy functional…

Quantum Gases · Physics 2021-06-16 Martin-Isbjörn Trappe , Jun Hao Hue , Berthold-Georg Englert

We use density-functional theory, of the fundamental-measure type, to study the relative stability of the biaxial nematic phase, with respect to non-uniform phases such as smectic and columnar, in fluids made of hard board-like particles…

Soft Condensed Matter · Physics 2017-09-13 Yuri Martinez-Raton , Szabolcs Varga , Enrique Velasco

Interfaces between demixed fluid phases of binary mixtures of hard platelets are investigated using density-functional theory. The corresponding excess free energy functional is calculated within a fundamental measure theory adapted to the…

Soft Condensed Matter · Physics 2011-09-14 M. Bier , L. Harnau , S. Dietrich

Density functional theory is used to study colloidal hard-rod fluids near an individual right-angled wedge or edge as well as near a hard wall which is periodically patterned with rectangular barriers. The Zwanzig model, in which the…

Soft Condensed Matter · Physics 2009-11-10 L. Harnau , F. Penna , S. Dietrich

Using the Lebwohl-Lasher interaction for reciprocal local alignment, we present a comprehensive phase diagram for a dry, apolar, active nematic system using its stochastic \new{off-lattice} dynamics. \new{The nematic-isotropic transition in…

Soft Condensed Matter · Physics 2024-10-08 Arpan Sinha , Debasish Chaudhuri
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