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A cascade of phase transitions from square to hexagonal lattice is studied in 2D system of particles interacting via core-softened potential. Due to the presence of two length-scales of repulsion, different local configurations with four,…

Soft Condensed Matter · Physics 2017-12-14 N. P. Kryuchkov , S. O. Yurchenko , Yu. D. Fomin , E. N. Tsiok , V. N. Ryzhov

We introduce a family of two-dimensional lattice models of quasicrystals, using a range of square hard cores together with a soft interaction based on an aperiodic tiling set. Along a low temperature isotherm we find, by Monte Carlo…

Statistical Mechanics · Physics 2015-05-27 David Aristoff , Charles Radin

The phase diagram of soft spheres with size dispersion has been studied by means of an optimized Monte Carlo algorithm which allows to equilibrate below the kinetic glass transition for all sizes distribution. The system ubiquitously…

Soft Condensed Matter · Physics 2007-05-23 L. A. Fernandez , V. Martin-Mayor , P. Verrocchio

We review recent progress in understanding the full phase diagram of a one-dimensional, driven, two-species lattice model [Lahiri and Ramaswamy, PRL 79 (1997) 1150] in which the mobility of each species depends on the density of the other.…

Statistical Mechanics · Physics 2007-05-23 Sriram Ramaswamy , Mustansir Barma , Dibyendu Das , Abhik Basu

The melting transitions of a colloidal lattice confined to a two-dimensional ($2D$) periodic substrate of square symmetry are studied using Monte Carlo simulations. When the strengths of interparticle and particle-substrate interactions are…

Statistical Mechanics · Physics 2025-10-02 Akhilesh M P , Toby Joseph

Solving numerically the 3D non linear Ginzburg-Landau (GL) equations, we study equilibrium and nonequilibrium phase transitions between different superconducting states of mesoscopic disks which are thinner than the coherence length and the…

Superconductivity · Physics 2016-08-31 V. A. Schweigert , F. M. Peeters , P. Singha Deo

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

Using numerical simulations of magnetically interacting vortices in disordered layered superconductors we obtain the static vortex phase diagram as a function of magnetic field and temperature. For increasing field or temperature, we find a…

Superconductivity · Physics 2009-10-31 C. J. Olson , C. Reichhardt , R. T. Scalettar , G. T. Zimanyi , N. Gronbech-Jensen

The phase diagram of the fully frustrated XY model on a honeycomb lattice is shown to incorporate three different ordered phases. In the most unusual of them, a long-range order is related not to the dominance of a particular periodic…

Statistical Mechanics · Physics 2012-06-05 S. E. Korshunov

We study a system of rods on the 2d square lattice, with hard-core exclusion. Each rod has a length between 2 and N. We show that, when N is sufficiently large, and for suitable fugacity, there are several distinct Gibbs states, with…

Probability · Mathematics 2011-08-25 Dmitry Ioffe , Yvan Velenik , Milos Zahradnik

A study is made of an anisotropic Potts model in three dimensions where the coupling depends on both the Potts state on each site but also the direction of the bond between them using both analytical and numerical methods. The phase diagram…

Statistical Mechanics · Physics 2009-11-11 M. R. Ahmed , G. A. Gehring

We determine the nature of a phase transition in a model describing an interaction of multiple charge density waves in a two dimensional film. The model was introduced by two of the authors in Phys. Rev. B {\bf 108}, 045119 (2023) to…

Strongly Correlated Electrons · Physics 2024-11-15 Julia Wildeboer , Saheli Sarkar , Alexei M. Tsvelik

In principle, the probability of configurations, determined by the system's partition function or wave function, encapsulates essential information about phases and phase transitions. Despite the exponentially large configuration space, we…

Statistical Mechanics · Physics 2024-11-26 Wen-Yu Su , Yu-Jing Liu , Nvsen Ma , Chen Cheng

Recent studies have shown that one-dimensional driven systems can exhibit phase separation even if the dynamics is governed by local rules. The ABC model, which comprises three particle species that diffuse asymmetrically around a ring,…

Statistical Mechanics · Physics 2016-08-31 M. Clincy , B. Derrida , M. R. Evans

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 model a tridimensional vortex system in a sample with square superficial pinning in the top surface and obtain the ground state structures as a function of the sample thickness. Using a simple Frenkel-Kontorova like model and no…

Superconductivity · Physics 2007-05-23 P. S. Cornaglia , M. F. Laguna

Using transfer matrix and finite-size scaling methods, we study the thermodynamic behavior of a lattice gas with two kinds of particles on the square lattice. Only excluded volume interactions are considered, so that the model is athermal.…

Statistical Mechanics · Physics 2015-09-03 T. J. Oliveira , J. F. Stilck

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 microscopic model in which nodes interacting with each other are statistical systems is introduced. The nodes conditions are connected with a string of distinct microscopic configurations and depend on external parameters (pressure and…

Statistical Mechanics · Physics 2007-05-23 V. Stepanov

In recent work we revisited the phase diagram of hard ellipsoids of revolution (spheroids) by means of replica exchange Monte Carlo simulations. This was done by setting random initial configurations, and allows to confirm the formation of…

Statistical Mechanics · Physics 2015-06-12 Gustavo Bautista-Carbajal , Arturo Moncho-Jordá , Gerardo Odriozola