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Using Cellular Automata, we simulate spin systems corresponding to $2d$ Ising model with various kinds of boundary conditions (bcs). The appearance of spontaneous magnetization in the absence of magnetic field is studied with a $64\times64$…

Statistical Mechanics · Physics 2018-11-05 Jahangir Mohammed , Swapna Mahapatra

We consider a two-dimensional Ising field theory on a space with boundary in the presence of a piecewise constant boundary magnetic field which is allowed to change value discontinuously along the boundary. We assume zero magnetic field in…

High Energy Physics - Theory · Physics 2022-11-23 Anatoly Konechny

We consider a variant of Glauber dynamics of Ising spins on a one-dimensional lattice, where each spin flips according to the relative state of the spin to its left. Moreover, each bond allows for two rates; flips which equalize nearest…

Mathematical Physics · Physics 2011-03-01 Arvind Ayyer

Extensive Monte Carlo simulations are performed on a two-dimensional random field Ising model. The purpose of the present work is to study the disorder-induced changes in the properties of disordered spin systems. The time evolution of the…

Statistical Mechanics · Physics 2013-02-22 Suman Sinha , Pradipta Kumar Mandal

The high temperature limit of interacting spins is usually not associated with ordering or critical phenomena. Nevertheless, spontaneous fluctuations of a local spin polarization at equilibrium have nontrivial dynamics even in this limit.…

Statistical Mechanics · Physics 2023-07-03 V. N. Gorshkov , N. A. Sinitsyn , D. Mozyrsky

The motion of dopants in magnetic spin lattices has received tremendous attention for at least four decades due to its connection to high-temperature superconductivity. Despite these efforts, we lack a complete understanding of their…

Quantum Gases · Physics 2025-10-22 Mingru Yang , Sajant Anand , Kristian Knakkergaard Nielsen

Understanding the dynamics of strongly interacting disordered quantum systems is one of the most challenging problems in modern science, due to features such as the breakdown of thermalization and the emergence of glassy phases of matter.…

Quantum Physics · Physics 2021-01-27 A. Signoles , T. Franz , R. Ferracini Alves , M. Gärttner , S. Whitlock , G. Zürn , M. Weidemüller

We study the stationary properties of the Ising model that, while evolving towards its equilibrium state at temperature $T$ according to the Glauber dynamics, is stochastically reset to its fixed initial configuration with magnetisation…

Statistical Mechanics · Physics 2020-08-12 Matteo Magoni , Satya N. Majumdar , Gregory Schehr

We studied the dynamical phase transition in kinetic Ising ferromagnets driven by oscillating magnetic field in meanfield approximation. The meanfield differential equation was solved by sixth order Runge-Kutta-Felberg method. The time…

Statistical Mechanics · Physics 2015-05-18 Muktish Acharyya , Ajanta Bhowal

The study by Glauber of the time-dependent statistics of the Ising chain is extended to the case where each spin is influenced unequally by its nearest neighbours. The asymmetry of the dynamics implies the failure of the detailed balance…

Statistical Mechanics · Physics 2015-05-27 Claude Godreche

The parallel-tempering method has been applied to numerically study the thermodynamic behavior of a three-dimensional disordered antiferromagnetic Ising model with random fields at spin concentrations corresponding to regions of both weak…

Disordered Systems and Neural Networks · Physics 2008-02-04 V. Prudnikov , A. Vakilov , E. Filikanov

We investigate spin precession in the presence of randomly distributed field sources. Their fields h_i reorient by thermally activated transitions and decrease as r^{-mu} with the distance from the spin probe. Based on analytical…

Condensed Matter · Physics 2007-05-23 Falk Scheffler , Philipp Maass

We consider the non-conserved dynamics of the Ising model on the two-dimensional square lattice, where each spin is influenced preferentially by its East and North neighbours. The single-spin flip rates are such that the stationary state is…

Statistical Mechanics · Physics 2014-12-09 Claude Godreche , Michel Pleimling

We study a model in which p independent Ising spins are coupled to 2d quantum gravity (in the form of dynamical planar phi-cubed graphs). Consideration is given to the p tends to infinity limit in which the partition function becomes…

High Energy Physics - Theory · Physics 2009-10-28 M. G. Harris , J. F. Wheater

We study the dynamics of macroscopic observables such as the magnetization and the energy per degree of freedom in Ising spin models on random graphs of finite connectivity, with random bonds and/or heterogeneous degree distributions. To do…

Disordered Systems and Neural Networks · Physics 2009-11-11 J. P. L. Hatchett , I. Pérez Castillo , A. C. C. Coolen , N. S. Skantzos

The effects of random magnetic fields are considered in an Ising spin-glass model defined in the limit of infinite-range interactions. The probability distribution for the random magnetic fields is a double Gaussian, which consists of two…

Statistical Mechanics · Physics 2009-11-13 N. Crokidakis , F. D. Nobre

We analyze a one-dimensional XXZ spin chain in a disordered magnetic field. As the main probes of the system's behavior we use the sensitivity of eigenstates to adiabatic transformations, as expressed through the fidelity susceptibility, in…

Quantum Physics · Physics 2021-11-09 Dries Sels , Anatoli Polkovnikov

We use Monte Carlo simulations to study a dynamically triangulated disk with Ising spins on the vertices and a boundary magnetic field. For the case of zero magnetic field we show that the model possesses three phases. For one of these the…

High Energy Physics - Lattice · Physics 2007-05-23 Scott McGuire , Simon Catterall , Mark Bowick , Simeon Warner

The nonequilibrium responses of Ising metamagnet (layered antiferromagnet) to the propagating magnetic wave are studied by Monte Carlo simulation. Here, the spatio-temporal variations of magnetic field keeps the system away from…

Statistical Mechanics · Physics 2015-03-11 Muktish Acharyya

We report in this paper our numerical analysis of energy level spacing statistics for the one-dimensional spin-$1/2$ XXZ model in random on-site longitudinal magnetic fields $B_i$ ($-h\leq B_i\leq h$)). We concentrate on the strong disorder…

Disordered Systems and Neural Networks · Physics 2021-06-22 Wai Pang Sze , Tai Kai Ng , Kam Tuen Law