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We study metastability and nucleation for the Blume-Capel model: a ferromagnetic nearest neighbour two-dimensional lattice system with spin variables taking values in -1,0,+1. We consider large but finite volume, small fixed magnetic field…

High Energy Physics - Theory · Physics 2009-10-28 Emilio N. M. Cirillo , Enzo Olivieri

A variational model for the interaction between homogenization and phase separation is considered. The focus is on the regime where the latter happens at a smaller scale than the former, and when the wells of the double well potential are…

Analysis of PDEs · Mathematics 2022-05-26 Riccardo Cristoferi , Irene Fonseca , Likhit Ganedi

We examine the behavior of the diffusion coefficient of the ST2 model of water over a broad region of the phase diagram via molecular dynamics simulations. The ST2 model has an accessible liquid-liquid transition between low-density and…

Statistical Mechanics · Physics 2012-08-07 Peter H. Poole , Stephen R. Becker , Francesco Sciortino , Francis W. Starr

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

This is the second in a series of papers that investigates the topological susceptibility in the interacting instanton liquid model (IILM) at finite temperature, and deals with the technical issues relating to the Monte Carlo simulations.…

High Energy Physics - Phenomenology · Physics 2010-01-21 Olivier Wantz

Building on our previously introduced Multi-cell Monte Carlo (MC)^2 method for modeling phase coexistence, this paper provides important improvements for efficient determination of phase equilibria in solids. The (MC)^2 method uses multiple…

Materials Science · Physics 2020-07-01 Edwin Antillon , Maryam Ghazisaeidi

We present a computer simulation of exciton-exciton scattering in a quantum well. Specifically, we use quantum Monte Carlo techniques to study the bound and continuum states of two excitons in a 10 nm wide GaAs/Al$_{0.3}$Ga$_{0.7}$As…

Mesoscale and Nanoscale Physics · Physics 2010-07-27 J. Shumway

By tempered Monte Carlo simulations, we study site-diluted Ising systems of magnetic dipoles. All dipoles are randomly placed on a fraction x of all L^3 sites of a simple cubic lattice, and point along a given crystalline axis. For x_c<…

Statistical Mechanics · Physics 2010-09-01 J. J. Alonso , J. F. Fernández

The liquid and crystal phase of a single-component Fermi gas with dipolar interactions are investigated using quantum Monte Carlo methods in two spatial dimensions and at zero temperature. The dipoles are oriented by an external field…

Quantum Gases · Physics 2013-05-30 N. Matveeva , S. Giorgini

Binary magnetic square lattice Ising system with nearest neighbour interactions were simulated using the Monte Carlo technique. Two types of ions were randomly distributed on the lattice sites, one type interacting ferromagnetic and the…

Statistical Mechanics · Physics 2013-01-23 Ike Q. Sikakana

We investigate a lattice-fluid model defined on a two-dimensional triangular lattice, with the aim of reproducing qualitatively some anomalous properties of water. Model molecules are of the "Mercedes Benz" type, i.e., they possess a D3…

Soft Condensed Matter · Physics 2007-05-23 C. Buzano , E. de Stefanis , A. Pelizzola , M. Pretti

The possibility of different interpretations of the stochastic term (or calculi) in the overdamped Langevin equation for the motion of a particle in an inhomogeneous medium is often referred to as the "Ito--Stratonovich dilemma," although…

Statistical Mechanics · Physics 2012-08-28 Hendrick W. de Haan , Mykyta V. Chubynsky , Gary W. Slater

The phase diagram of a lattice microemulsion model proposed by Ciach, H{\o}ye and Stell is studied using mean-field theory and Monte Carlo simulations. Surfactant directional degrees of freedom are summed out exactly before mean-field…

Condensed Matter · Physics 2009-10-22 Per Arne Slotte

We present Monte Carlo simulation results of the two-dimensional Zwanzig fluid, which consists of hard line segments which may orient either horizontally or vertically. At a certain critical fugacity, we observe a phase transition with a…

Statistical Mechanics · Physics 2009-11-13 T. Fischer , R. L. C. Vink

Excess contributions to the free energy due to interfaces occur for many problems encountered in the statistical physics of condensed matter when coexistence between different phases is possible (e.g. wetting phenomena, nucleation, crystal…

Statistical Mechanics · Physics 2015-05-27 Kurt Binder , Benjamin Block , Subir K. Das , Peter Virnau , David Winter

For the two dimensional classical XY model we present extensive high -temperature -phase bulk data extracted based on a novel finite size scaling (FSS) Monte Carlo technique, along with FSS data near criticality. Our data verify that…

High Energy Physics - Lattice · Physics 2009-10-28 Jae-Kwon Kim

Much attention has been devoted to water's metastable phase behavior, including polyamorphism (multiple amorphous solid phases), and the hypothesized liquid-liquid transition and associated critical point. However, the possible relationship…

Soft Condensed Matter · Physics 2021-06-09 Thomas E. Gartner , Salvatore Torquato , Roberto Car , Pablo G. Debenedetti

Solvent-free coarse grained models represent one of the most promising approaches for molecular simulations of mesoscopically large membranes. In these models, the size of the simulated membrane is limited by the slow relaxation time of…

Soft Condensed Matter · Physics 2009-11-13 Oded Farago

It is found experimentally that the coexistence region of a vapor-liquid system or a binary mixture is substantially narrowed when the fluid is confined in a aerogel with a high degree of porosity (e.g. of the order of 95% to 99%). A…

Statistical Mechanics · Physics 2007-05-23 Rafael Salazar , Raul Toral , Amitabha Chakrabarti

Linear stability of stratified two-phase flows in horizontal channels to arbitrary wavenumber disturbances is studied. The problem is reduced to Orr-Sommerfeld equations for the stream function disturbances, defined in each sublayer and…

Fluid Dynamics · Physics 2016-05-04 Ilya Barmak , Alexander Gelfgat , Helena Vitoshkin , Amos Ullmann , Neima Brauner