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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 introduce a model for a fluid of polydisperse rounded hard rectangles where the length and width of the rectangular core are fixed, while the roundness is taken into account by the convex envelope of a disk displaced along the perimeter…

Soft Condensed Matter · Physics 2022-09-07 Yuri Martinez-Raton , Enrique Velasco

We numerically investigate two-dimensional systems of hard rectangles at constant pressure through extensive hard-particle Monte Carlo simulations. We determine the complete phase diagram as a function of packing fraction and aspect ratio,…

Soft Condensed Matter · Physics 2025-05-15 Denis Dertli , Thomas Speck

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

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

We consider the effects of polydispersity on isotropic-nematic phase equilibria in thermotropic liquid crystals, using a Maier-Saupe theory with factorized interactions. A sufficient spread (approx. 50%) in the interaction strengths of the…

Soft Condensed Matter · Physics 2013-09-03 Peter Sollich

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

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 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

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 investigate the ordering properties of vertically-vibrated monolayers of granular cylinders in a circular container at high packing fraction. In line with previous works by other groups, we identify liquid-crystalline ordering behaviour…

Soft Condensed Matter · Physics 2017-05-16 Miguel Gonzalez-Pinto , Florentino Borondo , Yuri Martinez-Raton , Enrique Velasco

Inspired by the observations of a remarkably stable biaxial nematic phase [E.v.d. Pol et al., Phys. Rev. Lett. 103, 258301 (2009)], we investigate the effect of size polydispersity on the phase behavior of a suspension of boardlike…

Soft Condensed Matter · Physics 2015-05-28 S. Belli , A. Patti , M. Dijkstra , R. van Roij

We have calculated the phase diagrams of one--component fluids made of five types of biaxial particles differing in their cross sections. The orientation of the principal particle axis is fixed in space, while the second axis is allowed to…

Soft Condensed Matter · Physics 2009-11-13 Yuri Martinez-Raton , Szabolcs Varga , Enrique Velasco

Recent experiments and simulations have shown that two-dimensional systems can form tetratic phases with four-fold rotational symmetry, even if they are composed of particles with only two-fold symmetry. To understand this effect, we…

Soft Condensed Matter · Physics 2009-11-10 Jun Geng , Jonathan V. Selinger

Fluids made of two-dimensional hard particles with polygonal shapes may stabilize symmetries which do not result directly from the particle shape. This is due to the formation of clusters in the fluid. Entropy alone can drive these effects,…

Soft Condensed Matter · Physics 2024-02-05 Yuri Martinez-Raton , Enrique Velasco

A theory of thermotropic nematic liquid crystals in which molecules form internally ordered clusters is presented. The formulation is based on the same mean field approximation and form of the anisotropic potential used in the Maier-Saupe…

Soft Condensed Matter · Physics 2011-05-31 Sotiris Droulias , Alexandros G. Vanakaras , Demetri J. Photinos

We discuss theoretically, using density-functional theory, the phase stability of nematic and smectic ordering in a suspension of platelets of the same thickness but with a high polydispersity in diameter, and study the influence of…

Soft Condensed Matter · Physics 2015-05-27 Yuri Martinez-Raton , Enrique Velasco

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 analyze the cluster formation in a non-ergodic stochastic system as a result of counter-flow, with the aid of an exactly solvable model. To illustrate the clustering, a two species asymmetric simple exclusion process with impurities on a…

Statistical Mechanics · Physics 2023-05-23 Amit Kumar Chatterjee , Hisao Hayakawa

Kinetic theory provides an elegant framework for studying dispersed particles in turbulent flows. Here the application of such probability density function (PDF)-based descriptions is considered in the context of particle clustering. The…

Fluid Dynamics · Physics 2025-04-03 C. P. Stafford , D. C. Swailes , M. W. Reeks
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