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Related papers: Phase ordering in 3d disordered systems

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We undertake a numerical study of the ordering kinetics in the two-dimensional ($2d$) active Ising model (AIM), a discrete flocking model with a conserved density field coupled to a non-conserved magnetization field. We find that for a…

We study phase segregation in a model alloy undergoing both ordering and decomposition, using computer simulations of Kawasaki exchange dynamics on a square lattice. Following a quench into the miscibility gap we observe an early stage in…

Statistical Mechanics · Physics 2009-10-30 V. Gorentsveig , P. Fratzl , J. L. Lebowitz

We study the effect of disorder on hardcore bosons in two dimensions at the SU(2) symmetric ``Heisenberg point''. We obtain our results with quantum Monte Carlo simulations using the directed loop algorithm. In the absence of disorder, the…

Statistical Mechanics · Physics 2007-05-23 Ji-Woo Lee , Shailesh Chandrasekharan , Harold U. Baranger

The ferromagnetic phase of an Ising model in d=3, with any amount of quenched antiferromagnetic bond randomness, is shown to undergo a transition to a spin-glass phase under sufficient quenched bond dilution. This general result,…

Disordered Systems and Neural Networks · Physics 2009-03-30 Gül Gülpınar , A. Nihat Berker

Recent work has studied the growth of commutators as a probe of chaos and information scrambling in quantum many-body systems. In this work we study the effect of static disorder on the growth of commutators in a variety of contexts. We…

Strongly Correlated Electrons · Physics 2017-03-01 Brian Swingle , Debanjan Chowdhury

We study localization properties of disordered bosons and spins in random fields at zero temperature. We focus on two representatives of different symmetry classes, hard-core bosons (XY magnets) and Ising magnets in random transverse…

Disordered Systems and Neural Networks · Physics 2013-07-22 Xiaoquan Yu , Markus Mueller

We develop a fully microscopic, statistical mechanics approach to study phase transitions in Ising systems with competing interactions at different scales. Our aim is to consider orientational and positional order parameters in a unified…

Statistical Mechanics · Physics 2011-09-28 Daniel G. Barci , Daniel A. Stariolo

The ground state entanglement entropy between block of sites in the random Ising chain is studied by means of the Von Neumann entropy. We show that in presence of strong correlations between the disordered couplings and local magnetic…

Other Condensed Matter · Physics 2009-04-16 D. Binosi , G. De Chiara , S. Montangero , A. Recati

We propose a solution to the puzzle of dimensional reduction in the random field Ising model, inverting the question and asking: to what random problem in $D=d+2$ dimensions does a pure system in $d$ dimensions correspond? We consider two…

Statistical Mechanics · Physics 2023-10-10 John Cardy

Disordered systems like liquids, gels, glasses, or granular materials are not only ubiquitous in daily life and in industrial applications but they are also crucial for the mechanical stability of cells or the transport of chemical and…

Disordered Systems and Neural Networks · Physics 2019-04-30 Zhen Zhang , Walter Kob

We study the dynamical properties of the ordered phases obtained in a coupled nonequilibrium system describing advection of two species of particles by a stochastically evolving landscape. The local dynamics of the landscape also gets…

Statistical Mechanics · Physics 2017-08-23 Shauri Chakraborty , Sakuntala Chatterjee , Mustansir Barma

In this paper we consider a 2d random Ising system on a square lattice with nearest neighbour interactions. The disorder is short range correlated and asymmetry between the vertical and the horizontal direction is admitted. More precisely,…

Disordered Systems and Neural Networks · Physics 2009-10-30 M. Pasquini , M. Serva

We present the first detailed numerical study in three dimensions of a first-order phase transition that remains first-order in the presence of quenched disorder (specifically, the ferromagnetic/paramagnetic transition of the site-diluted…

Statistical Mechanics · Physics 2008-02-13 L. A. Fernandez , A. Gordillo-Guerrero , V. Martin-Mayor , J. J. Ruiz-Lorenzo

After Boltzmann and Gibbs, the notion of disorder in statistical physics relates to ensembles, not to individual states. This disorder is measured by the logarithm of ensemble volume, the entropy. But recent results about measure…

Statistical Mechanics · Physics 2009-11-11 A. N. Gorban

The orientational ordering transition is investigated in the quantum generalization of the anisotropic-planar-rotor model in the low temperature regime. The phase diagram of the model is first analyzed within the mean-field approximation.…

Condensed Matter · Physics 2009-10-28 R. Martonak , D. Marx , P. Nielaba

Using extensive Monte Carlo simulations we study aging properties of two disordered systems quenched below their critical point, namely the two-dimensional random-bond Ising model and the three-dimensional Edwards-Anderson Ising spin glass…

Statistical Mechanics · Physics 2015-06-05 Hyunhang Park , Michel Pleimling

We investigate relaxation dynamics along the entire first-order phase transition line by analyzing the time evolution of the free energy landscape in the three-dimensional kinetic Ising model. Near the critical temperature $T_{\rm c}$, the…

Statistical Mechanics · Physics 2025-08-28 Ranran Guo , Xiaobing Li , Yuming Zhong , Mingmei Xu , Jinghua Fu , Yuanfang Wu

We study the non-equilibrium dynamics of a disordered quantum system consisting of harmonic oscillators in a $d$-dimensional lattice. If the system is sufficiently localized, we show that, starting from a broad class of initial product…

Mathematical Physics · Physics 2022-11-15 Houssam Abdul-Rahman

We investigate the critical behavior of disordered systems transversely driven at a uniform and steady velocity. An intuitive argument predicts that the long-distance physics of $D$-dimensional driven disordered systems at zero temperature…

Statistical Mechanics · Physics 2019-12-30 Taiki Haga

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