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The dynamics of the 2D Potts ferromagnet when quenched below the transition temperature is investigated in the case of discontinuous phase transition, which is interesting for understandingthe non equilibrium dynamics of systems with many…

Statistical Mechanics · Physics 2013-01-30 Alberto Petri , Miguel Ibanez de Berganza , Vittorio Loreto

Thermal quenching has been used to find metastable materials such as hard steels and metallic glasses. More recently, quenching-based phase control has been applied to correlated electron systems that exhibit metal--insulator, magnetic or…

Materials Science · Physics 2025-04-25 Hiroshi Oike , Hidemaro Suwa , Yasunori Takahashi , Fumitaka Kagawa

We consider a periodic Ising chain with nearest-neighbour and $r$-th neighbour interaction and quench it from infinite temperature to zero temperature. The persistence probability $P(t)$, measured as the probability that a spin remains…

Statistical Mechanics · Physics 2008-03-14 Anjan Kumar Chandra , Subinay Dasgupta

The advent of quantum computing has heralded a renewed interest in physical memories - physically realizable structures that offer reliable data storage with error correction only at the point of access. Here, we examine a model of a…

Quantum Physics · Physics 2012-01-09 Francesca Valery Day , Sean Barrett

It is known that, after a quench to zero temperature ($T=0$), two-dimensional ($d=2$) Ising ferromagnets with short-range interactions do not always relax to the ordered state. They can also fall in infinitely long-lived striped metastable…

Statistical Mechanics · Physics 2022-03-24 Ramgopal Agrawal , Federico Corberi , Ferdinando Insalata , Sanjay Puri

We investigate the aging properties of phase-separation kinetics following quenches from $T=\infty$ to a finite temperature below $T_c$ of the paradigmatic two-dimensional conserved Ising model with power-law decaying long-range…

Statistical Mechanics · Physics 2025-12-10 Fabio Müller , Henrik Christiansen , Wolfhard Janke

Following quenches of initial configurations having long range spatial correlations, prepared at the demixing critical point, to points inside the miscibility gap, we study aging phenomena in solid binary mixtures. Results on the decay of…

Statistical Mechanics · Physics 2020-04-22 Subir K. Das , Koyel Das , Nalina Vadakkayil , Saikat Chakraborty , Subhajit Paul

We consider nonequilibrium critical dynamics of the two-dimensional Ising model for which the initial state is prepared by switching on random fields with zero mean and variance $H$. In the initial state there is no magnetic order but the…

Statistical Mechanics · Physics 2015-06-25 Laszlo Kornyei , Michel Pleimling , Ferenc Igloi

In this paper we present and discuss results of Monte Carlo numerical simulations of the two-dimensional Ising ferromagnet in contact with a heat bath that intrinsically has a thermal gradient. The extremes of the magnet are at temperatures…

Statistical Mechanics · Physics 2015-06-11 Juan Muglia , Ezequiel V. Albano

The statistical mechanics of a one-dimensional Ising model in thermal equilibrium is well-established, textbook material. Yet, when driven far from equilibrium by coupling two sectors to two baths at different temperatures, it exhibits…

Statistical Mechanics · Physics 2014-12-09 Nicholas Borchers , Michel Pleimling , R. K. P. Zia

We study metastability and nucleation in a kinetic two-dimensional Ising model which is driven out of equilibrium by a small random perturbation of the usual dynamics at temperature T. We show that, at a mesoscopic/cluster level, a…

Statistical Mechanics · Physics 2009-11-11 Pablo I. Hurtado , J. Marro , P. L. Garrido

We comprehensively study non-equilibrium relaxation and aging processes in the two-dimensional random-site Ising model through numerical simulations. We discuss the dynamical correlation length as well as scaling functions of various…

Statistical Mechanics · Physics 2010-10-11 Hyunhang Park , Michel Pleimling

We examine a square-lattice nearest-neighbor Ising quantum ferromagnet coupled to $d$-dimensional phonon baths. Using the density-matrix equation, we calculate the transition rates between configurations, which determines the specific…

Statistical Mechanics · Physics 2009-11-07 Kyungwha Park , M. A. Novotny , P. A. Rikvold

By means of Monte Carlo simulations on the three-dimensional Ising spin-glass model, we have studied aging phenomena with various temperature($T$)-change protocols. Particularly, a $T$-shift protocol, in which a system is first quenched to…

Disordered Systems and Neural Networks · Physics 2007-05-23 Tatsuo Komori , Hajime Yoshino , Hajime Takayama

Network science provides very powerful tools for extracting information from interacting data. Although recently the unsupervised detection of phases of matter using machine learning has raised significant interest, the full prediction…

Disordered Systems and Neural Networks · Physics 2024-10-08 Hanlin Sun , Rajat Kumar Panda , Roberto Verdel , Alex Rodriguez , Marcello Dalmonte , Ginestra Bianconi

Via computer simulations we study evolution dynamics in systems of continuously moving Active Brownian Particles. The obtained results are discussed against those from the passive 2D Ising case. Following sudden quenches of uniform…

Soft Condensed Matter · Physics 2022-12-14 Florian Dittrich , Jiarul Midya , Peter Virnau , Subir K. Das

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

In this work we compare two different random dilution of a mean field ferromagnet: the first model is built on a Bernoulli-diluted network while the second lives on a Poisson-diluted network. While it is known that the two models have in…

Mathematical Physics · Physics 2009-03-26 Adriano Barra , Federico Camboni , Pierluigi Contucci

We numerically simulate the time evolution of the Ising field theory after quenches starting from the $E_8$ integrable model using the Truncated Conformal Space Approach. The results are compared with two different analytic predictions…

Statistical Mechanics · Physics 2018-09-26 Kristóf Hódsági , Márton Kormos , Gábor Takács

An Ashkin-Teller neural network, allowing for two types of neurons is considered in the case of low loading as a function of the strength of the respective couplings between these neurons. The storage and retrieval of embedded patterns…

Disordered Systems and Neural Networks · Physics 2009-10-31 D. Bolle , P. Kozlowski
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