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Damage spreading for 2D Ising cluster dynamics is investigated numerically by using random numbers in a way that conforms with the notion of submitting the two evolving replicas to the same thermal noise. Two damage spreading transitions…

Statistical Mechanics · Physics 2007-05-23 Haye Hinrichsen , Eytan Domany , Dietrich Stauffer

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

Trilayered, Ising, spin-1/2, ferrimagnets are an interesting subject for simulational studies for they show compensation effect. A Monte Carlo study on such a system with sublayers on triangular lattice is performed in the current work.…

Statistical Mechanics · Physics 2021-05-27 Soham Chandra

Composite systems, where couplings are of two types, a combination of strong dilute and weak dense couplings of Ising spins, are examined through the replica method. The dilute and dense parts are considered to have independent canonical…

Disordered Systems and Neural Networks · Physics 2009-11-13 Jack Raymond , David Saad

Motivated by the recent inelastic neutron scattering (INS) measurements in the iron pnictides which show a strong anisotropy of spin excitations in directions perpendicular and parallel to the ordering wave-vector even above the magnetic…

Strongly Correlated Electrons · Physics 2015-10-19 Patricia Bilbao Ergueta , Andriy H. Nevidomskyy

The two-dimensional Ising model with Brascamp-Kunz boundary conditions has a partition function more amenable to analysis than its counterpart on a torus. This fact is exploited to exactly determine the full finite-size scaling behaviour of…

High Energy Physics - Lattice · Physics 2015-06-25 Wolfhard Janke , Ralph Kenna

We study the dynamics of a mean-field Ising model whose coupling depends on the magnetization via a linear feedback function. A key feature of this linear feedback Ising model (FIM) is the possibility of temperature-induced bistability,…

Statistical Mechanics · Physics 2026-03-31 Yi-Ping Ma , Ivan Sudakow , P. L. Krapivsky , Sergey A. Vakulenko

Recent computational investigations in polymeric and non-polymeric binary mixtures have reported anomalous relaxation features when both components exhibit very different mobilities. Anomalous relaxation is characterized by sublinear power…

Soft Condensed Matter · Physics 2015-06-25 Angel J. Moreno , Juan Colmenero

We investigate low temperature properties of a random Ising model with $+J$ and $-aJ (a \neq 1)$ bonds in two dimensions using a cluster heat bath method. It is found that the Binder parameters $g_L$ for different sizes of the lattice come…

Disordered Systems and Neural Networks · Physics 2009-10-30 Takayuki Shirakura , Fumitaka Matsubara

Duality transformation, which relates a high-temperature phase to a low-temperature one, is used exactly to determine the critical point for several models (2D Ising, Potts, Ashkin-Teller, 8-vertex), as the self dual condition. By changing…

Condensed Matter · Physics 2009-10-28 A. Kitazawa

Two models involving particles moving by ``hopping'' in disordered media are investigated: I) A model glass-forming liquid is investigated by molecular dynamics under (pseudo-) equilibrium conditions. ``Standard'' results such as mean…

Disordered Systems and Neural Networks · Physics 2007-05-23 Thomas B. Schroeder

We consider a prototypical system of an infinite range transverse field Ising model coupled to a bosonic bath. By integrating out the bosonic degrees, an effective anisotropic Heisenberg model is obtained for the spin system. The phase…

Statistical Mechanics · Physics 2011-04-29 Subhasis Sinha , Sushanta Dattagupta

We study quantum resonance behavior of the infinite-range kinetic Ising model at zero temperature. Numerical integration of the time-dependent Schr\"odinger equation in the presence of an external magnetic field in the $z$ direction is…

Statistical Mechanics · Physics 2012-09-12 Sung-Guk Han , Jaegon Um , Beom Jun Kim

Experimental advances in condensed matter physics and material science have enabled ready access to atomic-resolution images, with resolution of modern tools often sufficient to extract minute details of symmetry-breaking distortions such…

Statistical Mechanics · Physics 2019-09-23 Sai Mani Prudhvi Valleti , Lukas Vlcek , Rama K. Vasudevan , Sergei V. Kalinin

The Glauber model is reconsidered based on a quantum formulation of the Master equation. Unlike the conventional approach the temperature and the Ising energy are included from the beginning by introducing a Heisenberg-like picture of the…

Statistical Mechanics · Physics 2009-11-11 Thomas Michael , Steffen Trimper , Michael Schulz

We investigate the application of graph-cut methods for the study of the critical behaviour of the two-dimensional random-field Ising model. We focus on exact ground-state calculations, crossing the phase boundary of the model at zero…

Disordered Systems and Neural Networks · Physics 2022-04-04 Argyro Mainou , Nikolaos G. Fytas , Martin Weigel

We study the magnetic and thermodynamic properties of a spin-$1/2$ Ising system containing three layers, each of which is composed exclusively of one out of two possible types of atoms, \textbf{A} or \textbf{B}. The \textbf{A-A} and…

Statistical Mechanics · Physics 2019-10-04 Ian Jordy Lopez Diaz , Nilton Silva Branco

Magnetic properties of the 1D mixed spin-1/2 and spin-S (S >1/2) transverse Ising model in the presence of an external longitudinal magnetic field are calculated exactly by the use of the generalised decoration-iteration mapping…

Statistical Mechanics · Physics 2007-05-23 Jozef Strecka , Hana Cencarikova , Michal Jascur

In order to investigate the role of the weight in weighted networks, the collective behavior of the Ising system on weighted regular networks is studied by numerical simulation. In our model, the coupling strength between spins is inversely…

Statistical Mechanics · Physics 2013-10-01 Menghui Li , Ying Fan , Jinshan Wu , Zengru Di

The Ising model is well-known for illustrating the fundamental characteristics of phase transitions in closed systems. In this article, we propose a generalization of the two-dimensional Ising model to open systems, considering the…

Materials Science · Physics 2024-11-11 Andriy Gusak , Serhii Abakumov