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We study the relaxation of the local ferromagnetic order in the transverse field quantum Ising chain with power-law decaying interactions $1/r^{\alpha}$. We prepare the system in the GHZ state and study the time evolution of the probability…

Strongly Correlated Electrons · Physics 2022-04-20 Nishan Ranabhat , Mario Collura

We study the out-of-equilibrium probability distribution function of the local order parameter in the transverse field Ising quantum chain. Starting from a fully polarised state, the relaxation of the ferromagnetic order is analysed: we…

Statistical Mechanics · Physics 2019-12-04 Mario Collura

By means of free fermionic techniques combined with multiple precision arithmetic we study the time evolution of the average magnetization, $\overline{m}(t)$, of the random transverse-field Ising chain after global quenches. We observe…

Disordered Systems and Neural Networks · Physics 2017-04-05 Gergo Roosz , Yu-Cheng Lin , Ferenc Igloi

The nature of the zero temperature ordering transition in the 3D Gaussian random field Ising magnet is studied numerically, aided by scaling analyses. In the ferromagnetic phase the scaling of the roughness of the domain walls, $w\sim…

Disordered Systems and Neural Networks · Physics 2007-05-23 A. Alan Middleton , Daniel S. Fisher

We study the phase transition in a face-centered-cubic antiferromagnet with Ising spins as a function of the concentration $p$ of ferromagnetic bonds randomly introduced into the system. Such a model describes the spin-glass phase at strong…

Statistical Mechanics · Physics 2014-03-05 V. Thanh Ngo , D. Tien Hoang , Hung T. Diep , I. A. Campbell

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

We study the Ising model under a time-varying, but spatially homogeneous, Gaussian random magnetic field. In the Monte Carlo simulations, we go beyond the standard analysis of the order parameter by measuring the magnetization probability…

Statistical Mechanics · Physics 2026-03-30 Sara Oliver-Bonafoux , Raul Toral , Amitabha Chakrabarti

We study the relaxation dynamics of a quantum Ising chain initially prepared in a product of canonical states corresponding each to an equilibrium state of part of the chain at a given temperature. We focus our attention on the transverse…

Statistical Mechanics · Physics 2009-11-11 Thierry Platini , Dragi Karevski

There exists an entire family of universal PDFs of the magnetization mode of the three dimensional Ising model parameterized by $\zeta = \lim_{L,\xi_{\infty}}L/\xi_{\infty}$ which is the ratio of the system size $L$ to the bulk correlation…

Statistical Mechanics · Physics 2025-12-15 Sankarshan Sahu

We discuss the non-self-averaging phenomena in the critical point of weakly disordered Ising ferromagnet. In terms of the renormalized replica Ginzburg-Landau Hamiltonian in dimensions D <4, we derive an explicit expression for the…

Statistical Mechanics · Physics 2016-01-26 Victor Dotsenko , Yu. Holovatch

We examine the dynamics of a quasi-two-dimensional spin-1 condensate in which the quadratic Zeeman energy q is suddenly quenched to a value where the system has a ferromagnetic ground state. There are two distinct types of ferromagnetic…

Quantum Gases · Physics 2016-08-10 Lewis A. Williamson , P. B. Blakie

Using the Metropolis algorithm, we simulate the relaxation process of the three-dimensional kinetic Ising model. Starting from a random initial configuration, we first present the average equilibration time across the entire phase boundary.…

Statistical Mechanics · Physics 2025-01-27 Xiaobing Li , Ranran Guo , Mingmei Xu , Jinghua Fu , Lizhu Chen , Yu Zhou , Yuanfang Wu

We present detailed analytical studies on the zero temperature coarsening dynamics in an Ising spin chain in presence of a dynamically induced field that favors locally the `-' phase compared to the `+' phase. We show that the presence of…

Statistical Mechanics · Physics 2009-11-07 Satya N. Majumdar , David S. Dean

We analyze the thermal magnetization reversal processes in magnetic grains. Two experiments are carried out: swtiching time and switching field experiments. In both cases, we find that the simulated behavior is coherent with existing…

Condensed Matter · Physics 2009-10-28 R. Mélin

In high-energy physics, confinement denotes the tendency of fundamental particles to remain bound together, preventing their observation as free, isolated entities. Interestingly, analogous confinement behavior emerges in certain condensed…

Statistical Mechanics · Physics 2026-02-20 Xuhao Jiang , Jad C. Halimeh , N. S. Srivatsa

Dynamics of ordering in Ising model, following quench to zero temperature, have been studied via Glauber spin-flip Monte Carlo simulations in space dimensions $d=2$ and $3$. One of the primary objectives has been to understand phenomena…

Statistical Mechanics · Physics 2016-05-03 Saikat Chakraborty , Subir K. Das

We study the dynamics of ordering in ferromagnets via Monte Carlo simulations of the Ising model, employing the Glauber spin-flip mechanism, in space dimensions $d=2$ and $3$. Results for the persistence probability and the domain growth…

Statistical Mechanics · Physics 2015-01-22 Saikat Chakraborty , Subir K. Das

By studying numerically the phase-ordering kinetics of a two-dimensional ferromagnetic Ising model with quenched disorder -- either random bonds or random fields -- we show that a critical percolation structure forms in an early stage and…

Statistical Mechanics · Physics 2017-02-06 Federico Corberi , Leticia F. Cugliandolo , Ferdinando Insalata , Marco Picco

We study thermalization of transverse field Ising chain with power law decaying interaction $\sim 1/r^{\alpha}$ following a global quantum quench of the transverse field to two different dynamical regimes. We quantify the thermalization…

Statistical Mechanics · Physics 2025-01-13 Nishan Ranabhat , Mario Collura

We study the dynamics of thermalization resulting from a time-dependent noise in a Quantum Ising Chain subject to a sudden quench of the transverse magnetic field. For weak noise the dynamics shows a pre-thermalized state at intermediate…

Statistical Mechanics · Physics 2015-06-04 Jamir Marino , Alessandro Silva
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