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Related papers: On the 2D Ising Wulff crystal near criticality

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The critical behaviors of the bimodal and Gaussian Ising spin glass (ISG) models in dimension four are studied through extensive numerical simulations, and from an analysis of high temperature series expansion (HTSE) data of Klein {\it et…

Disordered Systems and Neural Networks · Physics 2015-07-09 P. H. Lundow , I. A. Campbell

The Lebwohl-Lasher (LL) model is the traditional model used to describe the nematic-isotropic transition of real liquid crystals. In this paper, we develop a numerical study of the temperature behaviour and of finite-size scaling of the…

Statistical Mechanics · Physics 2010-07-06 Ana Isabel Fariñas-Sánchez , Robert Botet , Bertrand Berche , Ricardo Paredes

We study an array of coupled optical cavities in presence of two-photon driving and dissipation. The system displays a critical behavior similar to that of a quantum Ising model at finite temperature. Using the corner-space renormalization…

Quantum Physics · Physics 2019-03-22 Riccardo Rota , Fabrizio Minganti , Cristiano Ciuti , Vincenzo Savona

Scanning probes reveal complex, inhomogeneous patterns on the surface of many condensed matter systems. In some cases, the patterns form self-similar, fractal geometric clusters. In this paper, we advance the theory of criticality as it…

Strongly Correlated Electrons · Physics 2021-11-11 Shuo Liu , E. W. Carlson , K. A. Dahmen

We show that, above the critical temperature, if the dimension D of a given Ising spin glass model is sufficiently high, its free energy can be effectively expressed through the free energy of a related Ising model. When, in a large sense,…

Statistical Mechanics · Physics 2007-05-23 Massimo Ostilli

We study the two-dimensional kinetic Ising model below its equilibrium critical temperature, subject to a square-wave oscillating external field. We focus on the multi-droplet regime where the metastable phase decays through nucleation and…

Statistical Mechanics · Physics 2009-10-31 G. Korniss , C. J. White , P. A. Rikvold , M. A. Novotny

We study the early time dynamics of the 2d ferromagnetic Ising model instantaneously quenched from the disordered to the ordered, low temperature, phase. We evolve the system with kinetic Monte Carlo rules that do not conserve the order…

Statistical Mechanics · Physics 2018-02-07 Thibault Blanchard , Leticia F. Cugliandolo , Marco Picco , Alessandro Tartaglia

We investigate magnetic properties of the ferromagnetic Ising model on square-triangle tilings to explore how the hyperuniformity, which characterizes long-range behavior of the point pattern, influences critical phenomena where long-range…

Statistical Mechanics · Physics 2025-09-23 Akihisa Koga , Shiro Sakai

The aim of this paper is to determine the behavior of the specific heat of the 4-dimensional Ising model at the critical temperature, and via that determine if the Ising model and the $\phi^4$-model belong to the same universality class in…

Statistical Mechanics · Physics 2023-06-27 P. H. Lundow , K. Markström

We reconsider the criticality of the Ising model on two-dimensional dynamical triangulations based on the $N \times N$ hermitian two-matrix model with the introduction of a loop-counting parameter and linear terms in the potential. We show…

High Energy Physics - Theory · Physics 2025-07-22 Yuki Sato , Tomo Tanaka

Understanding the condensed-phase behavior of chiral molecules is important in biology, as well as in a range of technological applications, such as the manufacture of pharmaceuticals. Here, we use molecular dynamics simulations to study a…

Statistical Mechanics · Physics 2023-12-27 Pablo M. Piaggi , Roberto Car , Frank H. Stillinger , Pablo G. Debenedetti

The random transverse-field Ising ferromagnet (RTFIF) is a highly disordered quantum system which contains randomness in the coupling strengths as well as in the transverse-field strengths. In one dimension, the critical properties are…

Disordered Systems and Neural Networks · Physics 2023-10-24 Jiwon Choi , Seung Ki Baek

The critical 2-dimensional Ising model is studied with four types boundary conditions: free, fixed ferromagnetic, fixed antiferromagnetic, fixed double antiferromagnetic. Using Bond Propagation algorithms with surface fields, we obtained…

Statistical Mechanics · Physics 2014-09-24 Xintian Wu , Nickolay Izmailyan

We study the evolution of spin clusters on two dimensional slices of the $3d$ Ising model in contact with a heat bath after a sudden quench to a subcritical temperature. We analyze the evolution of some simple initial configurations, such…

Statistical Mechanics · Physics 2015-04-01 Jeferson J. Arenzon , Leticia F. Cugliandolo , Marco Picco

We investigate the geometric properties displayed by the magnetic patterns developing on a two-dimensional Ising system, when a diffusive thermal dynamics is adopted. Such a dynamics is generated by a random walker which diffuses throughout…

Statistical Mechanics · Physics 2008-10-02 E. Agliari , R. Burioni , D. Cassi , A. Vezzani

We investigate the behaviour of dipolar bosons in two dimensions. We describe the large density crystalline limit analytically while we use quantum Monte-Carlo to study the melting toward the Bose-Einstein condensate. We find strong…

Statistical Mechanics · Physics 2008-02-07 Christophe Mora , Olivier Parcollet , Xavier Waintal

High-order cumulants and factorial cumulants of conserved charges are suggested to study the critical dynamics in heavy-ion collision experiments. In this paper, using the parametric representation of the three-dimensional Ising model which…

Nuclear Theory · Physics 2022-03-22 Xue Pan

A new method for locating analytically critical temperatures is discussed. It is exact for selfdual systems. When applied the two coupled layers of Ising spins it deviates from our preliminary Monte Carlo estimates by 1.5 standard…

High Energy Physics - Lattice · Physics 2009-10-22 Z. Burda , J. Wosiek

We study the critical behavior of magnetic thin films as a function of the film thickness. We use the ferromagnetic Ising model with the high-resolution multiple histogram Monte Carlo (MC) simulation. We show that though the 2D behavior…

Materials Science · Physics 2007-12-20 X. T. Pham Phu , V. Thanh Ngo , H. T. Diep

For the Ising model defined on $a\mathbb{Z}^2$ at critical temperature with external field $a^{15/8}h$, we give a simple and elementary proof that its truncated two-point function decays exponentially. The proof combines the high…

Probability · Mathematics 2025-12-09 Jianping Jiang , Frederik Ravn Klausen