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Monte Carlo simulations and finite-size scaling analysis have been carried out to study the critical behavior in a two-dimensional system of particles with two bonding sites that, by decreasing temperature or increasing density, polymerize…

Statistical Mechanics · Physics 2010-10-14 L. G. López , D. H. Linares , A. J. Ramirez-Pastor , S. A. Cannas

The rich mesophase polymorhism and the phase sequence of board-like colloids depends critically on their shape anisometry. Implementing extensive Monte Carlo simulations, we calculated the full phase diagram of sterically interacting…

Soft Condensed Matter · Physics 2013-09-10 Stavros D. Peroukidis , Alexandros G. Vanakaras

We study the phase diagram of a system of $2\times 2\times 1$ hard plates on the three dimensional cubic lattice, {\em i.e.} a lattice gas of plates that each cover an elementary plaquette of the cubic lattice and occupy its four vertices,…

Statistical Mechanics · Physics 2023-07-12 D. Mandal , G. Rakala , K. Damle , D. Dhar , R. Rajesh

We obtain, using extensive Monte Carlo simulations, virial expansion and a high-density perturbation expansion about the fully packed monodispersed phase, the phase diagram of a system of bidispersed hard rods on a square lattice. We show…

Statistical Mechanics · Physics 2016-01-13 Joyjit Kundu , Jürgen F. Stilck , R. Rajesh

The phase diagram of prolate and oblate particles in the restricted orientations approximation (Zwanzig model) is calculated. Transitions to different inhomogeneous phases (smectic, columnar, oriented, or plastic solid) are studied through…

Soft Condensed Matter · Physics 2009-11-10 Yuri Martinez-Raton

We present a model to describe complex phases observed at mesoscopic scales in ultrathin magnetic films. The model is based on the interaction between dipolar as well as quadrupolar magnetic moments. In the special case of strong…

Statistical Mechanics · Physics 2010-05-21 Daniel G. Barci , Daniel A. Stariolo

We examine dense self-gravitating stellar systems dominated by a central potential, such as nuclear star clusters hosting a central supermassive black hole. Different dynamical properties of these systems evolve on vastly different…

Astrophysics of Galaxies · Physics 2017-06-20 Zacharias Roupas , Bence Kocsis , Scott Tremaine

We present a computer simulation study of the crystalline phases of hard ellipsoids of revolution. A previous study [Phys. Rev. E, \textbf{75}, 020402 (2007)] showed that for aspect ratios $a/b\ge 3$ the previously suggested stretched-fcc…

Statistical Mechanics · Physics 2015-05-13 M. Radu , P. Pfleiderer , T. Schilling

Using Monte Carlo simulations, we consider the lattice version of the $O(N)\otimes O(M)$ sigma model for $2\leq M\leq4$ and $M\leq N \leq8$. We find a continuous transition for $N\geq M+4$. Estimates of the critical exponents for cases of…

High Energy Physics - Lattice · Physics 2022-05-17 A. O. Sorokin

In this article we consider systems of parallel hard {\it superellipsoids}, which can be viewed as a possible interpolation between ellipsoids of revolution and cylinders. Superellipsoids are characterized by an aspect ratio and an exponent…

Soft Condensed Matter · Physics 2009-11-13 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

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 investigate Isotropic - Nematic transition in liquid crystal elastomers employing non-Boltzmann Monte Carlo techniques. We consider a lattice model of a liquid elastomer and Selinger-Jeon-Ratna Hamiltonian which accounts for…

Soft Condensed Matter · Physics 2007-05-23 D. Jayasri , N. Satyavathi , V. S. S. Sastry , K. P. N. Murthy

We study a d-dimensional lattice model of diffusing coalescing massive particles, with two parameters controlling deposition and evaporation of monomers. The unique stationary distribution for the system exhibits a phase transition in all…

Probability · Mathematics 2016-08-09 Colm Connaughton , R. Rajesh , Roger Tribe , Oleg Zaboronski

Hard spherocylinders (cylinders of length $L$ and diameter $D$ capped at both ends with two hemispheres) provide a suitable model for investigating entropy-driven, mesophase formations in real colloidal fluids that are composed of rigid…

Statistical Mechanics · Physics 2011-10-26 D. Costa , F. Micali , F. Saija , P. V. Giaquinta

Critical behavior of the two-dimensional generalized $XY$ model involving solely nematic-like terms of the second, third and fourth orders is studied by Monte Carlo method. We find that such a system can undergo three successive phase…

Statistical Mechanics · Physics 2018-12-24 Milan Žukovič

Using numerical techniques and asymptotic expansions we obtain the phase diagram of a paradigmatic model of Coulomb frustrated phase separation in systems with negative short-range compressibility. The transition from the homogeneous phase…

Strongly Correlated Electrons · Physics 2008-07-10 C. Ortix , J. Lorenzana , C. Di Castro

We implemented the replica exchange Monte Carlo technique to produce the equation of state of hard 1:5 aspect-ratio oblate ellipsoids for a wide density range. For this purpose, we considered the analytical approximation of the overlap…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 G. Odriozola , F. de J. Guevara-Rodríguez

The hard square lattice gas model on a square lattice is known to undergo a continuous phase transition from a low density fluid-like phase to high density phase with columnar or smectic order. We estimate the critical activity $z_c$ by…

Statistical Mechanics · Physics 2017-07-11 Dipanjan Mandal , Trisha Nath , R. Rajesh

We discuss possible inhomogeneous phases in two regions of the QCD phase diagram: We begin with color superconducting quark matter at moderately high densities, which is an imbalanced Fermi system due to the finite strange quark mass and…

High Energy Physics - Phenomenology · Physics 2010-11-02 Michael Buballa , Dominik Nickel