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The stability of liquid crystal phases in presence of small amount of non-mesogenic impurities is of general interest for a large spectrum of technological applications and in the theories of binary mixtures. Starting from the known phase…

Soft Condensed Matter · Physics 2014-05-13 Carlos E. Alvarez , Martial Mazars

We investigate the statistical behavior of a system comprising fore-aft symmetric rods confined between two vertically vibrating plates using numerical simulations closely resembling the experimental setup studied by Narayan et al., Science…

Soft Condensed Matter · Physics 2024-08-20 Abhishek Sharma , Harsh Soni

We consider the weakly first order phase transition between the isotropic and ordered phases of nematics in terms of the behavior of topological line defects. Analytical and Monte Carlo results are presented for a new coarse-grained lattice…

Condensed Matter · Physics 2009-10-28 Paul E. Lammert , Daniel S. Rokhsar , John Toner

Quantum phase transitions between the magnetically ordered and disordered states are studied for the two-dimensional antiferromagnetic quantum spin systems with ladder, plaquette, and mixed-spin structures. Starting with properly chosen…

Strongly Correlated Electrons · Physics 2009-10-31 A. Koga , S. Kumada , N. Kawakami

The electronic nematic phase occurs when the point-group symmetry of the lattice structure is broken, due to electron-electron interactions. We study a model for the nematic phase on a square lattice with emphasis on the phase transition…

Strongly Correlated Electrons · Physics 2009-11-10 Hae-Young Kee , Eugene H. Kim , Chung-Hou Chung

Systems of hard nonspherical particles exhibit a variety of stable phases with different degrees of translational and orientational order, including isotropic liquid, solid crystal, rotator and a variety of liquid crystal phases. In this…

Soft Condensed Matter · Physics 2014-07-23 Duyu Chen , Yang Jiao , Salvatore Torquato

Magnetic phase transition (MPT) to magnetic quasi-long-range order (QLRO) phase in a three-dimensional Heisenberg weak (D/J=4) random anisotropy (RA) model is investigated by Monte Carlo simulation. The isotropic and cubic distributions of…

Statistical Mechanics · Physics 2009-03-23 Ha M. Nguyen , Pai-Yi Hsiao

We study a continuous quasi-two-dimensional order-disorder phase transition that occurs in a simple model of a material that is inhomogeneously strained due to the presence of dislocation lines. Performing Monte Carlo simulations of…

Statistical Mechanics · Physics 2010-09-15 Charo I. Del Genio , Kevin E. Bassler

We study the kinetics of the nematic-isotropic transition in a two-dimensional liquid crystal by using a lattice Boltzmann scheme that couples the tensor order parameter and the flow consistently. Unlike in previous studies, we find the…

Soft Condensed Matter · Physics 2009-11-07 Colin Denniston , Enzo Orlandini , J. M. Yeomans

Monte Carlo simulations were used to study the assembly of binary mixtures of hard disks with squares, where the components have size ratios that optimize their co-assembly into compositionally disordered solids. It is observed that, along…

Soft Condensed Matter · Physics 2020-04-14 B. P. Prajwal , Fernando A. Escobedo

Colloidal fluids can exhibit complex phase behavior and determining phase diagrams via experiments or computer simulations can be laborious. We demonstrate that the dispersion relation $\omega(k)$, obtained from dynamical density functional…

Soft Condensed Matter · Physics 2026-03-20 Michael Wassermair , Gerhard Kahl , Roland Roth , Andrew J. Archer

We use Monte Carlo simulations to map out the phase diagram of the two dimensional Coulomb gas on a square lattice, as a function of density and temperature. We find that the Kosterlitz-Thouless transition remains up to higher charge…

Condensed Matter · Physics 2009-10-28 Pramod Gupta , S. Teitel

It is known from grand canonical simulations of a system of hard rods on two dimensional lattices that an orientationally ordered nematic phase exists only when the length of the rods is at least seven. However, a recent microcanonical…

Soft Condensed Matter · Physics 2018-02-14 Saugata Patra , Dibyendu Das , R. Rajesh , Mithun K. Mitra

The sliding columnar phase is a new liquid-crystalline phase of matter composed of two-dimensional smectic lattices stacked one on top of the other. This phase is characterized by strong orientational but weak positional correlations…

Soft Condensed Matter · Physics 2009-10-31 C. S. O'Hern , T. C. Lubensky

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

It is difficult to derive the solid--fluid transition from microscopic models. We introduce particle systems whose potentials do not decay with distance and calculate their partition function exactly using a method similar to that for…

Statistical Mechanics · Physics 2015-09-04 Hisato Komatsu

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…

Soft Condensed Matter · Physics 2010-12-17 Daniel de las Heras , Yuri Martínez-Ratón , Enrique Velasco

Recently it is shown that there are three families of stochastic one-dimensional non-equilibrium lattice models for which the single-shock measures form an invariant subspace of the states of these models. Here, both the stationary states…

Statistical Mechanics · Physics 2007-05-23 Maryam Arabsalmani , Amir Aghamohammadi

Many physical systems involve two types of orientational order, which are coupled together. For example, ferroelectric nematic liquid crystals have coupled polar and nematic order, and tilted hexatic phases have coupled polar and hexatic…

Soft Condensed Matter · Physics 2026-03-16 Lincoln Paik , Jonathan V. Selinger

We discuss phase transitions and the phase diagram of a classical dimer model with anisotropic interactions defined on a square lattice. For the attractive region, the perturbation of the orientational order parameter introduced by the…

Statistical Mechanics · Physics 2009-08-04 Hiromi Otsuka