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We solve exactly a Terrace-Ledge-Kink (TLK) model describing a crystal surface at a microscopic level. We show that there is a faceting transition driven either by temperature or by the chemical potential that controls the slope of the…

Statistical Mechanics · Physics 2009-10-31 D. B. Abraham , F. H. L. Essler , F. T. Latremoliere

In recent years, a second fluid-fluid phase transition has been reported in several materials at pressures far above the usual liquid-gas phase transition. In this paper, we introduce a new model of this behavior based on the Lennard-Jones…

Statistical Mechanics · Physics 2009-11-07 H. K. Lee , R. H. Swendsen

We study the one-dimensional sine-Gordon model as a prototype of roughening phenomena. In spite of the fact that it has been recently proven that this model can not have any phase transition [J. A. Cuesta and A. Sanchez, J. Phys. A 35, 2373…

Statistical Mechanics · Physics 2009-11-07 Saul Ares , Jose A. Cuesta , Angel Sanchez , Raul Toral

We use the grand canonical Monte Carlo method to study the nature of wetting transitions on a variety of heterogeneous surfaces. The model system we explore, Ne adsorption on Mg, is one for which a prewetting transition has been found in…

Statistical Mechanics · Physics 2009-10-31 S. Curtarolo , M. W. Cole , M. J. Bojan , W. A. Steele

In this paper we use molecular dynamics (MD) to answer a classical question: how does the surface tension on a liquid/gas interface appear? After defining surface tension from the first principles and performing several consistency checks,…

Soft Condensed Matter · Physics 2013-10-24 Alex Lukyanov , Alexei Likhtman

We report a Phase Switch Monte Carlo (PSMC) method study of the freezing line of the Lennard-Jones (LJ) fluid. Our work generalizes to soft potentials the original application of the method to hard sphere freezing, and builds on a previous…

Statistical Mechanics · Physics 2009-11-11 Graham C. McNeil-Watson , Nigel B. Wilding

Wetting phenomena plays an interesting role in the technological development of materials. Recently, much attention has been directed to the study of magnetic solid films. To understand, theoretically, the effect of surface on wetting and…

Materials Science · Physics 2007-05-23 H. Ez-Zahraouy , A. Benyoussef , L. Bahmad

Thermodynamic properties of the ferromagnetic Ising model on the hierarchical pentagon lattice is studied by means of the tensor network methods. The lattice consists of pentagons, where 3 or 4 of them meet at each vertex. Correlation…

Statistical Mechanics · Physics 2024-07-08 Takumi Oshima , Tomotoshi Nishino

We use Monte Carlo simulation to determine the stable structures in the second-neighbour Ising model on the face-centred cubic lattice. Those structures are L1_1 for strongly antiferromagnetic second neighbour interactions and L1_0 for…

Statistical Mechanics · Physics 2023-01-09 Graeme J Ackland

The matrix product structure is considered on a regular lattice in the hyperbolic plane. The phase transition of the Ising model is observed on the hyperbolic $(5, 4)$ lattice by means of the corner-transfer-matrix renormalization group…

Statistical Mechanics · Physics 2015-05-19 Takatsugu Iharagi , Andrej Gendiar , Hiroshi Ueda , Tomotoshi Nishino

We consider the Ising model on the two-dimensional square lattice where on each horizontal line, called "layer", the interaction is given by a ferromagnetic Kac potential with coupling strength $J_\gamma(x,y)=\gamma J(\gamma(x-y))$, where…

Using molecular dynamics computer simulations we investigate how the glass transition and the properties of the resulting glass depend on the cooling rate with which the sample has been quenched. This is done by studying a two component…

Condensed Matter · Physics 2009-10-28 Katharina Vollmayr , Walter Kob , Kurt Binder

Two-dimensional systems may admit a hexatic phase and hexatic-liquid transitions of different natures. The determination of their phase diagrams proved challenging, and indeed those of hard-disks, hard regular polygons, and inverse…

Soft Condensed Matter · Physics 2020-05-29 Yan-Wei Li , Massimo Pica Ciamarra

We study the roughening transition of an interface in an Ising system on a 3D simple cubic lattice using a finite size scaling method. The particular method has recently been proposed and successfully tested for various solid on solid…

High Energy Physics - Lattice · Physics 2009-10-28 M. Hasenbusch , S. Meyer , M. Pütz

We present a modified version of the one-dimensional sine-Gordon that exhibits a thermodynamic, roughening phase transition, in analogy with the 2D usual sine-Gordon model. The model is suited to study the crystalline growth over an…

Statistical Mechanics · Physics 2009-11-10 Saul Ares , Angel Sanchez

Using molecular dynamics computer simulations we investigate the out-of-equilibrium dynamics of a Lennard-Jones system after a quench from a high temperature to one below the glass transition temperature. By studying the radial distribution…

Statistical Mechanics · Physics 2009-10-31 Walter Kob , Jean-Louis Barrat , Francesco Sciortino , Piero Tartaglia

Point vortices take a triangular lattice structure in a rotating system as a minimum energy state. We perform a numerical simulation of point vortex systems using initial conditions indicating that the triangular lattice is randomly…

Statistical Mechanics · Physics 2015-06-11 Hidetsugu Sakaguchi , Kenji Kita

A phenomenological model is proposed for melting of a vortex lattice, based on screening of the elastic shear modulus by mobile or partially pinned dislocations. A first-order softening line is found and ends at a critical point beyond…

Superconductivity · Physics 2007-05-23 Denis Feinberg

Transition-metal dichalcogenide IrTe2 has attracted attention because of striped lattice, charge ordering and superconductivity. We have investigated the surface structure of IrTe2, using low energy electron diffraction (LEED) and scanning…

Materials Science · Physics 2017-04-05 Chen Chen , Jisun Kim , Yifan Yang , Guixin Cao , Rongying Jin , E. W. Plummer

We investigate the Ising model on a spherical surface, utilizing a Fibonacci lattice to approximate uniform coverage. This setup poses challenges in achieving consistent lattice distribution across the sphere for comparison with planar…

Computational Physics · Physics 2025-12-09 Zheng Zhou , Chen-Hui Song , Xu-Yang Hou , Hao Guo