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We investigate the effect of three-body correlations on the phase behavior of hard rectangle two-dimensional fluids. The third virial coefficient, $B_3$, is incorporated via an equation of state that recovers scaled particle theory for…

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

The effect of confinement on the phase behaviour and structure of fluids made of biaxial hard particles (cuboids) is examined theoretically by means of Onsager second-order virial theory in the limit where the long particle axes are frozen…

Soft Condensed Matter · Physics 2022-06-07 Szabolcs Varga , Yuri Martinez-Raton , Enrique Velasco

Using density-functional theory in the restricted-orientation approximation, we analyse the liquid-crystal patterns and phase behaviour of a fluid of hard rectangular particles confined in a two-dimensional square nanocavity of side length…

Soft Condensed Matter · Physics 2015-06-16 Miguel Gonzalez-Pinto , Yuri Martinez-Raton , Enrique Velasco

Theory and simulations of simultaneous chemical demixing and phase ordering are performed for a mixed order parameter system with an isotropic-isotropic (I-I) phase separation that is metastable with respect to an isotropic-nematic (I-N)…

Soft Condensed Matter · Physics 2015-06-17 Ezequiel R. Soule , Cyrille Lavigne , Linda Reven , Alejandro D. Rey

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

Spontaneous self-assembly of hard convex polyhedra are known to form orientationally disordered crystalline phases, where particle orientations do not follow the same pattern as the positional arrangement of the crystal. A distinct type of…

Soft Condensed Matter · Physics 2024-12-02 Sumitava Kundu , Kaustav Chakraborty , Avisek Das

While the realistically modeling of the thermodynamic behavior of fluids usually demands elaborated atomistic models, much have been learned from simplified ones. Here, we investigate a model where point-like particles (with activity $z_0$)…

Soft Condensed Matter · Physics 2019-07-15 Nathann T. Rodrigues , Tiago J. Oliveira

Using transfer operator and fundamental measure theories, we examine the structural and thermodynamic properties of hard rectangles confined between two parallel hard walls. The side lengths of the rectangle ($L$ and $D$, $L>D$) and the…

Soft Condensed Matter · Physics 2017-05-16 Peter Gurin , Szabolcs Varga , Miguel Gonzalez-Pinto , Yuri Martinez-Raton , Enrique Velasco

We consider a two-dimensional lattice model for liquid crystals consisting of long rods interacting via purely hard core interactions, with two allowed orientations defined by the underlying lattice. We rigorously prove the existence of a…

Mathematical Physics · Physics 2012-01-31 Margherita Disertori , Alessandro Giuliani

We extend our previous work on monolayers of uniaxial particles [J. Chem. Phys. 140, 204906 (2014)] to study the effect of particle biaxiality on the phase behavior of liquid-crystal monolayers. Particles are modelled as board-like hard…

Soft Condensed Matter · Physics 2015-06-23 Miguel Gonzalez-Pinto , Yuri Martinez-Raton , Enrique Velasco , Szabolcs Varga

We study structure and fluid-phase behaviour of a binary mixture of hard spheres (HSs) and hard spherocylinders (HSCs) in isotropic and nematic states using the $NP_nAT$ ensemble Monte Carlo (MC) method in which a normal pressure tensor…

Soft Condensed Matter · Physics 2015-08-18 Liang Wu , Alexandr Malijevský , George Jackson , Erich A. Müller , Carlos Avendaño

We study the thermodynamic stability of fluid-fluid phase separation in binary nonadditive mixtures of hard-spheres for moderate size ratios. We are interested in elucidating the role played by small amounts of nonadditivity in determining…

Soft Condensed Matter · Physics 2011-10-25 G. Pellicane , F. Saija , C. Caccamo , P. V. Giaquinta

The scaled particle theory is developed for the description of thermodynamical properties of a mixture of hard spheres and hard spherocylinders. Analytical expressions for free energy, pressure and chemical potentials are derived. From the…

Soft Condensed Matter · Physics 2017-12-15 M. F. Holovko , M. V. Hvozd

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…

Statistical Mechanics · Physics 2015-05-29 Joyjit Kundu , R. Rajesh

We investigate the self-organization of a binary mixture of similar sized rods and dipolar soft spheres by means of Monte-Carlo simulations. We model the interparticle interactions by employing anisotropic Gay-Berne, dipolar and soft-sphere…

Soft Condensed Matter · Physics 2015-04-17 Stavros D. Peroukidis , Ken Lichtner , Sabine H. L. Klapp

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…

Soft Condensed Matter · Physics 2017-04-12 Joshua A. Anderson , James Antonaglia , Jaime A. Millan , Michael Engel , Sharon C. Glotzer

We report the grand-canonical solution of a ternary mixture of discrete hard spheres defined on a Husimi lattice built with cubes, which provides a mean-field approximation for this system on the cubic lattice. The mixture is composed by…

Soft Condensed Matter · Physics 2020-06-02 Nathann T. Rodrigues , Tiago J. Oliveira

Elongated active units cannot spontaneously break rotation symmetry in bulk fluids to form nematic or polar phases. This has led to the image of active suspensions as spontaneously evolving, spatiotemporally chaotic fluids. In contrast, I…

Soft Condensed Matter · Physics 2023-01-16 Ananyo Maitra

Using molecular dynamics simulation with an angle-dependent Lennard-Jones potential, we study orientational glass with quadrupolar symmetry in mixtures of elliptic particles and circular impurities in two dimensions. With a mild aspect…

Soft Condensed Matter · Physics 2015-07-24 Kyohei Takae , Akira Onuki

We study the equilibrium phase diagram of binary mixtures of hard spheres as well as of parallel hard cubes. A superior cluster algorithm allows us to establish and to access the demixed phase for both systems and to investigate the subtle…

Statistical Mechanics · Physics 2009-10-30 Arnaud Buhot , Werner Krauth