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A combinatorial approach is used to study the critical behavior of a $q$-state Potts model with a round-the-face interaction. Using this approach it is shown that the model exhibits a first order transition for $q>3$. A second order…

Statistical Mechanics · Physics 2019-11-27 Nir Schreiber , Reuven Cohen , Simi Haber , Gideon Amir , Baruch Barzel

The first-order phase transitions in the lattice model of Janus-like particles confined in slit-like pores are studied. We assume a cubic lattice with molecules that can freely change their orientation on a lattice site. Moreover, the…

Soft Condensed Matter · Physics 2017-02-13 M. Borówko , A. Patrykiejew , W. Rzysko , S. Sokołowski

In this paper we have considered a simple lattice gas model of chemisorbed monolayer which allows for the harmonic fluctuations of the bond length between the adsorbate atom and the surface site. The model also involves a short-ranged…

Mesoscale and Nanoscale Physics · Physics 2016-03-15 A. Patrykiejew , T. Staszewski

Recent advances in ultracold atoms in optical lattices and developments in surface science have allowed for the creation of artificial lattices as well as the control of many-body interactions. Such systems provide new settings to…

Strongly Correlated Electrons · Physics 2021-04-22 Nazim Boudjada , Finn Lasse Buessen , Arun Paramekanti

We consider two-dimensional systems of point particles located on rectangular lattices and interacting via pairwise potentials. The goal of this paper is to investigate the phase transitions (and their nature) at fixed density for the…

Mathematical Physics · Physics 2025-09-24 Laurent Bétermin , Ladislav Šamaj , Igor Travěnec

We examine metastable and transient effects both above and below the first-order disorder driven decoupling line in a 3D simulation of magnetically interacting pancake vortices. We observe pronounced transient and history effects as well as…

Superconductivity · Physics 2009-05-15 C. J. Olson , C. Reichhardt , R. T. Scalettar , G. T. Zimanyi , N. Gronbech-Jensen

This study present a Monte Carlo investigations of low-temperature magnetic ordering and phase transitions in three-state Potts model on triangular lattice with various exchange interactions between nearest (J1) and next-nearest (J2)…

Statistical Mechanics · Physics 2018-09-24 Magomed A. Magomedov , Akay K. Murtazaev

We study the phase ordering dynamics of a two dimensional model colloidal solid using molecular dynamics simulations. The colloid particles interact with each other with a Hamaker potential modified by the presence of equatorial "patches"…

Disordered Systems and Neural Networks · Physics 2014-12-30 Chandana Mondal , Smarajit Karmakar , Surajit Sengupta

We characterize the order-disorder transition in a model lipid bilayer using molecular dynamics simulations. We find that the ordered phase is hexatic. In particular, in-plane structures possess a finite concentration of 5-7 disclination…

A physics-based analytical model describing the phase transition from crystalline to conformationally disordered (condis) crystalline phase is developed. In the model, the free energy is written as a function of temperature and the lattice…

Soft Condensed Matter · Physics 2026-03-02 V. V. Atrazhev , D. V. Dmitriev , V. I. Sultanov

We consider an off-lattice liquid crystal pair potential in strictly two dimensions. The potential is purely repulsive and short-ranged. Nevertheless, by means of a single parameter in the potential, the system is shown to undergo a…

Soft Condensed Matter · Physics 2012-07-17 H. H. Wensink , R. L. C. Vink

We consider the $Q$-state Potts model on $\mathbb Z^d$, $Q\ge 3$, $d\ge 2$, with Kac ferromagnetic interactions and scaling parameter $\ga$. We prove the existence of a first order phase transition for large but finite potential ranges.…

Mathematical Physics · Physics 2014-09-25 Thierry Gobron , Immacolata Merola

We examine metastable and transient effects both above and below the first-order decoupling line in a 3D simulation of magnetically interacting pancake vortices. We observe pronounced transient and history effects as well as supercooling…

Superconductivity · Physics 2009-11-10 C. J. Olson , C. Reichhardt , R. T. Scalettar , G. T. Zimanyi , N. Gronbech-Jensen

We study the ground-state properties of a system of dimers. Each dimer consists in a pair of equivalent charges at a fixed distance, immersed in a neutralizing homogeneous background. All charges interact pairwisely by Coulomb potential.…

Statistical Mechanics · Physics 2018-01-11 Igor Travěnec , Ladislav Šamaj

We investigate - with Monte Carlo computer simulations - the phase behaviour of dimeric colloidal molecules on periodic substrates with square symmetry. The molecules are formed in a two-dimensional suspension of like charged colloids…

Soft Condensed Matter · Physics 2015-06-04 Samir El Shawish , Emmanuel Trizac , Jure Dobnikar

In the field of liquid crystals, it is well-known that rod-like molecules interacting via long-range attractive interactions or short-range repulsive potentials can exhibit orientational order. In this work, we are interested in what would…

Soft Condensed Matter · Physics 2022-06-01 Xiaoyu Zheng , Obeng Appiagyei Addai , Peter Palffy-Muhoray

We show that dipolar interactions have dramatic effects on the groundstates of rotating atomic Bose gases in the weak interaction limit. With increasing dipolar interaction (relative to the net contact interaction), the mean-field, or high…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 N. R. Cooper , E. H. Rezayi , S. H. Simon

We consider cold polar molecules confined in a helical optical lattice similar to those used in holographic microfabrication. An external electric field polarizes molecules along the axis of the helix. The large-distance inter-molecular…

Other Condensed Matter · Physics 2009-11-13 K. T. Law , D. E. Feldman

We investigate the quenching process in lattice systems with short range interaction and several crystalline states as ground states. We consider in particular the following systems on square lattice: - hard particle (exclusion) model; - q…

Statistical Mechanics · Physics 2017-08-23 Mario Jose de Oliveira , Alberto Petri

The interactions between a group of components are commonly studied in several areas of science (social science, biology, material science, complex dynamical systems, among others) using the methods of thermodynamics and statistical…

Statistical Mechanics · Physics 2021-07-28 Constanza Farías , Sergio Davis