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Using scaled-particle theory for binary mixtures of two-dimensional hard particles with rotational freedom, we analyse the stability of nematic phases and the demixing phase behaviour of a variety of mixtures, focussing on cases where at…

Soft Condensed Matter · Physics 2009-11-13 D. de las Heras , Y. Martinez-Raton , E. Velasco

We have used an extended Scaled-Particle Theory that incorporates four-body correlations through the fourth-order virial coefficient to analyse the orientational properties of a fluid of hard right-angle triangles. This fluid has been…

Soft Condensed Matter · Physics 2023-07-13 Enrique Velasco , Yuri Martinez-Raton

A fluid of hard right isosceles triangles was studied using an extension of Scaled-Particle Density-Functional Theory which includes the exact third virial coefficient. We show that the only orientationally ordered stable liquid-crystal…

Soft Condensed Matter · Physics 2021-12-10 Yuri Martinez-Raton , Enrique Velasco

We formulate the scaled particle theory for a general mixture of hard isosceles triangles and calculate different phase diagrams for the one-component fluid and for certain binary mixtures. The fluid of hard triangles exhibits a complex…

Soft Condensed Matter · Physics 2018-05-16 Yuri Martinez-Raton , Ariel Diaz-De Armas , Enrique Velasco

Recent studies have shown the fluid of hard right triangles to possess fourfold and quasi-eightfold (octatic) orientational symmetries. However, the standard density-functional theory for two-dimensional anisotropic fluids, based on…

Soft Condensed Matter · Physics 2022-03-18 Yuri Martinez-Raton , Enrique Velasco

We study an experimental system of hard granular squares in two dimensions, energized by vibration. The interplay of order in the orientations and positions of anisotropic particles allows for a rich set of phases. We measure the structure…

Soft Condensed Matter · Physics 2016-08-23 Lee Walsh , Narayanan Menon

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

Using a version of density-functional theory which combines Onsager approximation and fundamental-measure theory for spatially nonuniform phases, we have studied the phase diagram of freely rotating hard rectangles and hard discorectangles.…

Soft Condensed Matter · Physics 2009-11-10 Yuri Martinez-Raton , Enrique Velasco , Luis Mederos

We use a series of molecular dynamics simulations, and analytical theory, to demonstrate that a system of hard spheres confined to a narrow cylindrical channel exhibits a continuous phase transition from an isotropic fluid at low densities,…

Soft Condensed Matter · Physics 2014-09-18 Mahdi Zaeifi Yamchi , Richard K. Bowles

We used the Density Functional formalism, in particular the Scaled Particle Theory, applied to a length-polydisperse hard-rectangular fluid to study its phase behavior as a function of the mean particle aspect ratio ($\kappa_0$) and…

Soft Condensed Matter · Physics 2017-05-23 Ariel Diaz-De Armas , Yuri Martinez-Raton

We examine the fluid phase behaviour of the binary mixture of hard superellipses using the scaled particle theory The superellipse is a general two dimensional convex object which can be tuned between circular and rectangular shapes…

Soft Condensed Matter · Physics 2020-09-02 Sakine Mizani , Peter Gurin , Roohollah Aliabadi , Hamdollah Salehi , Szabolcs Varga

Using the classical density functional theory of freezing and Monte Carlo computer simulations, we explore the liquid-crystalline phase behavior of hard rectangles on flat and cylindrical manifolds. Moreover, we study the effect of a static…

Soft Condensed Matter · Physics 2018-02-19 Christoph E. Sitta , Frank Smallenburg , Raphael Wittkowski , Hartmut Löwen

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 investigate fluids of dipolar hard particles by a certain variant of density-functional theory. The proper treatment of the long range of the dipolar interactions yields a contribution to the free energy which favors ferromagnetic order.…

Condensed Matter · Physics 2009-10-28 B. Groh , S. Dietrich

Previous Monte Carlo investigations by Wojciechowski \emph{et al.} have found two unusual phases in two-dimensional systems of anisotropic hard particles: a tetratic phase of four-fold symmetry for hard squares [Comp. Methods in Science and…

Statistical Mechanics · Physics 2009-11-11 A. Donev , J. Burton , F. H. Stillinger , S. Torquato

We report the discovery of a mixed orientational structure in the quasi-one-dimensional fluid of hard non-spherical bodies with the exact calculation of the thermodynamic and structural quantities using the transfer operator method. The…

Soft Condensed Matter · Physics 2025-10-13 Sakineh Mizani , Martin Oettel , Péter Gurin , Szabolcs Varga

Based on density-functional theory we analyze the full phase diagram, the occurrence of long-ranged orientational order, and the structural properties of dipolar fluids. As a model system we consider the Stockmayer fluid that consists of…

Soft Condensed Matter · Physics 2009-09-25 B. Groh , S. Dietrich

Orientational and positional ordering properties of liquid crystal monolayers are examined by means of Fundamental-Measure Density Functional Theory. Particles forming the monolayer are modeled as hard parallelepipeds of square section of…

Soft Condensed Matter · Physics 2015-06-19 Yuri Martinez-Raton , Szabolcs Varga y Enrique Velasco

We analyze the sedimentation behavior of a polydisperse two-dimensional liquid-crystal fluid using a local density functional theory based on scaled particle theory. Polydispersity is incorporated through variations in the roundness of hard…

Soft Condensed Matter · Physics 2025-11-11 Tobias Eckert , Daniel de las Heras , Enrique Velasco , Yuri Martínez-Ratón

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
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