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We point out that in nonequilibrium relaxational processes the magnetic field of the initial state (instead of the initial magnetization) has to be considered as the additional scaling field (related to the initial state). Taking this into…

Condensed Matter · Physics 2007-05-23 U. Ritschel , P. Czerner

We uncover a finite-time dynamical phase transition in the thermal relaxation of a mean-field magnetic model. The phase transition manifests itself as a cusp singularity in the probability distribution of the magnetisation that forms at a…

Statistical Mechanics · Physics 2022-03-23 Jan Meibohm , Massimiliano Esposito

We report the results of mean field and the Monte Carlo study of the dynamic magnetization-reversal transition in the Ising model, brought about by the application of an external field pulse applied in opposition to the existing order…

Statistical Mechanics · Physics 2009-10-31 A. Misra , B. K. Chakrabarti

The nonequilibrium dynamic phase transition, in the two dimensional site diluted kinetic Ising model in presence of an oscillating magnetic field, has been studied by Monte Carlo simulation. The projections of dynamical phase surface are…

Statistical Mechanics · Physics 2013-01-15 Muktish Acharyya

We study a nonequilibrium ferromagnetic mean-field spin model exhibiting a phase with spontaneous temporal oscillations of the magnetization, on top of the usual paramagnetic and ferromagnetic phases. This behavior is obtained by…

Statistical Mechanics · Physics 2024-04-18 Laura Guislain , Eric Bertin

Using a Ginzburg-Landau model, we study the phase transition behavior of compressible Ising systems at constant volume by varying the temperature $T$ and the applied magnetic field $h$. We show that two phases can coexist macroscopically in…

Materials Science · Physics 2009-11-13 Akira Onuki , Akihiko Minami

The physical origin of the backbendings in the equations of state of finite but not necessarily small systems is studied in the Ising model with fixed magnetization (IMFM) by means of the topological properties of the observable…

Statistical Mechanics · Physics 2009-11-10 F. Gulminelli , J. M. Carmona , Ph. Chomaz , J. Richert , S. Jimenez , V. Regnard

We study the quantum phase transition in the two-dimensional random Ising model in a transverse field by Monte Carlo simulations. We find results similar to those known analytically in one-dimension: the dynamical exponent is infinite and,…

Disordered Systems and Neural Networks · Physics 2016-08-31 C. Pich , A. P. Young

We use the zero-temperature random-field Ising model to study hysteretic behavior at first-order phase transitions. Sweeping the external field through zero, the model exhibits hysteresis, the return-point memory effect, and avalanche…

Experimental systems with a first order phase transition will often exhibit hysteresis when out of equilibrium. If defects are present, the hysteresis loop can have different shapes: with small disorder the hysteresis loop has a macroscopic…

Condensed Matter · Physics 2007-05-23 Olga Perkovic , Karin A. Dahmen , James P. Sethna

We study how the finite-sized n-component model A with periodic boundary conditions relaxes near its bulk critical point from an initial nonequilibrium state with short-range correlations. Particular attention is paid to the universal…

Condensed Matter · Physics 2009-10-28 U. Ritschel , H. W. Diehl

We investigate a model for randomly layered magnets, viz. a three-dimensional Ising model with planar defects. The magnetic phase transition in this system is smeared because static long-range order can develop on isolated rare spatial…

Statistical Mechanics · Physics 2007-05-23 Shellie Huether , Ryan Kinney , Thomas Vojta

In order to elucidate the role of surfaces at nonequilibrium phase transitions we consider kinetic Ising models with surfaces subjected to a periodic oscillating magnetic field. Whereas the corresponding bulk system undergoes a continuous…

Statistical Mechanics · Physics 2015-06-11 Hyunhang Park , Michel Pleimling

In this work, the relaxation process of the spin-3/2 Blume-Capel model with quenched random crystal field on a two dimensional square lattice has been investigated by a method which combines the statistical equilibrium theory and the…

Statistical Mechanics · Physics 2012-09-28 Erol Vatansever , Hamza Polat

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

The antiferromagnetic quantum Ising chain has a quantum critical point which belongs to the universality class of the transverse Ising model (TIM). When a longitudinal field ($h$) is switched on, the phase transition is preserved, which…

Statistical Mechanics · Physics 2021-05-12 Péter Lajkó , Ferenc Iglói

When a system's parameter is abruptly changed, a relaxation towards the new equilibrium of the system follows. We show that a crossing between the second and third eigenvalues of the relaxation matrix results in a relaxation trajectory…

Statistical Mechanics · Physics 2023-05-23 Gianluca Teza , Ran Yaacoby , Oren Raz

We consider the $d$-dimensional transverse-field Ising model with power-law interactions $J/r^{d+\sigma}$ in the presence of a noisy longitudinal field with zero average. We study the longitudinal-magnetization dynamics of an initial…

Strongly Correlated Electrons · Physics 2018-07-12 Jad C. Halimeh , Matthias Punk , Francesco Piazza

We investigate the nonequilibrium dynamics of the nearest-neighbour Ising model subjected to stochastic resetting, where the system is intermittently returned to an initial configuration with magnetisation $m_0$, with the inter-reset times…

Statistical Mechanics · Physics 2026-02-18 Anagha V K , Apoorva Nagar

Nonreciprocal interactions in many-body systems lead to time-dependent states, commonly observed in biological, chemical, and ecological systems. The stability of these states in the thermodynamic limit and the critical behavior of the…

Statistical Mechanics · Physics 2025-04-01 Yael Avni , Michel Fruchart , David Martin , Daniel Seara , Vincenzo Vitelli
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