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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…

软凝聚态物质 · 物理学 2009-11-13 D. de las Heras , Y. Martinez-Raton , E. 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…

统计力学 · 物理学 2009-11-11 A. Donev , J. Burton , F. H. Stillinger , S. Torquato

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…

软凝聚态物质 · 物理学 2018-02-19 Christoph E. Sitta , Frank Smallenburg , Raphael Wittkowski , Hartmut Löwen

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…

软凝聚态物质 · 物理学 2009-11-13 Yuri Martinez-Raton , Szabolcs Varga , Enrique Velasco

We report on a comprehensive computer simulation study of the liquid-crystal phase behaviour of purely repulsive, semi-flexible rod-like particles. For the four aspect ratios we consider, the particles form five distinct phases depending on…

软凝聚态物质 · 物理学 2018-01-17 Bart de Braaf , Mariana Oshima Menegon , Stefan Paquay , Paul van der Schoot

We investigate, using Monte Carlo simulations, the phase diagram of a system of hard rectangles of size $m\times mk$ on a square lattice when the aspect ratio $k$ is a non-integer. The existence of a disordered isotropic phase, a nematic…

统计力学 · 物理学 2015-05-29 Joyjit Kundu , R. Rajesh

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…

软凝聚态物质 · 物理学 2009-11-10 Jun Geng , Jonathan V. Selinger

The surface phase behavior of binary mixtures of colloidal hard rods in contact with a solid substrate (hard wall) is studied, with special emphasis on the region of the phase diagram that includes the smectic A phase. The colloidal rods…

软凝聚态物质 · 物理学 2010-12-17 Daniel de las Heras , Yuri Martínez-Ratón , Enrique Velasco

The melting transition of two-dimensional (2D) systems is a fundamental problem in condensed matter and statistical physics that has advanced significantly through the application of computational resources and algorithms. 2D systems…

软凝聚态物质 · 物理学 2017-04-12 Joshua A. Anderson , James Antonaglia , Jaime A. Millan , Michael Engel , Sharon C. Glotzer

We show that the relative stability of the nematic tetratic phase with respect to the usual uniaxial nematic phase can be greatly enhanced by clustering effects. Two--dimensional rectangles of aspect ratio $\kappa$ interacting via hard…

软凝聚态物质 · 物理学 2009-11-13 Yuri Martinez-Raton , Enrique Velasco

Melting in 2D is described by the celebrated Kosterlitz-Thouless-Halperin-Nelson-Young (KTHNY) theory. The unbinding of two different types of topological defects destroys translational and orientational order at different temperatures. The…

软凝聚态物质 · 物理学 2024-11-12 Robert Löffler , Lukas Siedentop , Peter Keim

Using particle-resolved molecular-dynamics simulations, we compute the phase diagram for soft repulsive spherocylinders confined on the surface of a sphere. While crystal (K), smectic (Sm), and isotropic (I) phases exhibit a stability…

软凝聚态物质 · 物理学 2025-11-03 Jaydeep Mandal , Hartmut Löwen , Prabal K. Maiti

We report the phase diagram of two-dimensional hard ellipses as obtained from replica exchange Monte Carlo simulations. The replica exchange is implemented by expanding the isobaric ensemble in pressure. The phase diagram shows four…

软凝聚态物质 · 物理学 2015-06-19 Gustavo Bautista-Carbajal , Gerardo Odriozola

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.…

软凝聚态物质 · 物理学 2009-11-10 Yuri Martinez-Raton , Enrique Velasco , Luis Mederos

Melting in two spatial dimensions, as realized in thin films or at interfaces, represents one of the most fascinating phase transitions in nature, but it remains poorly understood. Even for the fundamental hard-disk model, the melting…

软凝聚态物质 · 物理学 2015-03-13 Etienne P. Bernard , Werner Krauth

We have used Monte Carlo NPT computer simulations to study a system of spherical fan shaped particles made of three hard discs fused along a common diameter. The calculated equation of state indicates a strong, entropy driven, first order…

软凝聚态物质 · 物理学 2016-08-31 A. G. Vanakaras , D. J. Photinos

The phase diagram of a system of monodispersed hard rectangles of size $m\times m k$ on a square lattice is numerically determined for $m=2,3$ and aspect ratio $k= 1,2,\ldots, 7$. We show the existence of a disordered phase, a nematic phase…

统计力学 · 物理学 2014-05-19 Joyjit Kundu , R. Rajesh

We explore the link between the melting scenarios of two-dimensional systems of hard disks and squares through replica-exchange Monte Carlo simulations of hard superdisks. The well-known melting scenarios are observed in the disk and square…

软凝聚态物质 · 物理学 2020-12-04 Péter Gurin , Szabolcs Varga , Gerardo Odriozola

The phase behavior of the system of parallel rigid triblock copolymers is examined using the second-virial density functional theory. The triblock particle consists of two identical infinitely thin hard rods of finite lengths on the…

软凝聚态物质 · 物理学 2007-10-15 Szabolcs Varga , Seth Fraden

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…

软凝聚态物质 · 物理学 2022-09-07 Yuri Martinez-Raton , Enrique Velasco
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