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Related papers: Aging in coarsening diluted ferromagnets

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We consider the stochastic dynamics of Ising ferromagnets (either pure or random) near zero temperature. The master equation satisfying detailed balance can be mapped onto a quantum Hamiltonian which has an exact zero-energy ground state…

Statistical Mechanics · Physics 2013-02-27 Cecile Monthus , Thomas Garel

The two-dimensional random-bond Ising model is numerically studied on long strips by transfer-matrix methods. It is shown that the rate of decay of correlations at criticality, as derived from averages of the two largest Lyapunov exponents…

Condensed Matter · Physics 2009-10-22 S. L. A. de Queiroz

We study the fluctuations of the autocorrelation and autoresponse functions and, in particular, their variances and co-variance. In a first general part of the Article, we show the equivalence of the variance of the response function with…

Statistical Mechanics · Physics 2015-05-18 Federico Corberi , Eugenio Lippiello , Alessandro Sarracino , Marco Zannetti

We study the off-equilibrium dynamics of a particle in a general $N$-dimensional random potential when $N \to \infty$. We demonstrate the existence of two asymptotic time regimes: {\it i.} stationary dynamics, {\it ii.} slow aging dynamics…

Condensed Matter · Physics 2009-10-28 Leticia F. Cugliandolo , Pierre Le Doussal

In a variety of systems which exhibit aging, the two-time response function scales as $R(t,s)\approx s^{-1-a} f(t/s)$. We argue that dynamical scaling can be extended towards conformal invariance, obtaining thus the explicit form of the…

High Energy Physics - Theory · Physics 2012-10-18 Malte Henkel , Michel Pleimling , Claude Godreche , Jean-Marc Luck

We consider an overdamped Brownian particle moving in a confining asymptotically logarithmic potential, which supports a normalized Boltzmann equilibrium density. We derive analytical expressions for the two-time correlation function and…

Statistical Mechanics · Physics 2012-05-21 A. Dechant , E. Lutz , D. A. Kessler , E. Barkai

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

We consider the three-dimensional randomly diluted Ising model and study the critical behavior of the static and dynamic spin-spin correlation functions (static and dynamic structure factors) at the paramagnetic-ferromagnetic transition in…

Disordered Systems and Neural Networks · Physics 2009-11-13 Pasquale Calabrese , Andrea Pelissetto , Ettore Vicari

We study dynamic fluctuations in non-disordered finite dimensional ferromagnetic systems quenched to the critical point and the low-temperature phase. We investigate the fluctuations of two two-time quantities, called $\chi$ and $C$, the…

Statistical Mechanics · Physics 2015-05-13 Federico Corberi , Leticia Cugliandolo

We investigate the life time distribution in one and two dimensional coarsening processes modelled by Ising - Glauber dynamics at zero temperature. We find that the life time distribution obeys a scaling ansatz, asymptotically. An…

Statistical Mechanics · Physics 2009-11-07 V. Sridhar , K. P. N. Murthy , M. C. Valsakumar

We study numerically spatio-temporal fluctuations during the out-of-equilibrium relaxation of the three-dimensional Edwards-Anderson model. We focus on two issues. (1) The evolution of a growing dynamical length scale in the glassy phase of…

Disordered Systems and Neural Networks · Physics 2009-11-13 Ludovic D. C. Jaubert , Claudio Chamon , Leticia F. Cugliandolo , Marco Picco

We employ the state-of-the-art molecular dynamics simulations to study the kinetics of phase separation and aging phenomena of segregating binary fluid mixtures imbibed in porous materials. Different random porous structures are considered…

Soft Condensed Matter · Physics 2022-12-07 Rounak Bhattacharyya , Bhaskar Sen Gupta

We report new results related to the two-time dynamics of the coordinate of a quantum free particle, damped through its interaction with a fractal thermal bath (non-ohmic coupling $\sim\omega^\delta$ with $0<\delta<1$ or $1<\delta<2)$. When…

Statistical Mechanics · Physics 2009-11-07 Alain Mauger , Noelle Pottier

We consider the Ising model on the square lattice with biaxially correlated random ferromagnetic couplings, the critical point of which is fixed by self-duality. The disorder represents a relevant perturbation according to the extended…

Statistical Mechanics · Physics 2007-05-23 F. A. Bagamery , L. Turban , F. Igloi

Aging phenomena of short-range Ising spin glass models have been investigated using Monte Carlo simulations. It is found that in the low-temperature spin-glass phase the mean domain size exhibits a crossover from a power-law growth…

Disordered Systems and Neural Networks · Physics 2009-10-31 Koji Hukushima , Hajime Yoshino , Hajime Takayama

We investigate the dynamical critical behavior of the two- and three-dimensional Ising model with Glauber dynamics in equilibrium. In contrast to the usual standing, we focus on the mean-squared deviation of the magnetization $M$, MSD$_M$,…

Statistical Mechanics · Physics 2023-09-22 Zihua Liu , Erol Vatansever , Gerard T. Barkema , Nikolaos G. Fytas

Aging in phase-ordering kinetics of the $d=3$ Ising model following a quench from infinite to zero temperature is studied by means of Monte Carlo simulations. In this model the two-time spin-spin autocorrelator $C_\text{ag}$ is expected to…

Statistical Mechanics · Physics 2026-02-13 Denis Gessert , Henrik Christiansen , Wolfhard Janke

We analyse the aging dynamics of the one-dimensional Fredrickson-Andersen (FA) model in the nonequilibrium regime following a low temperature quench. Relaxation then effectively proceeds via diffusion limited pair coagulation (DLPC) of…

Statistical Mechanics · Physics 2007-05-23 Peter Mayer , Peter Sollich

We have used molecular dynamics simulations for a comprehensive study of phase separation in a two-dimensional single component off-lattice model where particles interact through the Lennard-Jones potential. Via state-of-the-art methods we…

Soft Condensed Matter · Physics 2021-01-04 Jiarul Midya , Subir K. Das

The influence of an applied shear field on the dynamics of an aging colloidal suspension has been investigated by the dynamic light scattering determination of the density autocorrelation function. Though a stationary state is never…

Soft Condensed Matter · Physics 2009-11-10 R. Di Leonardo , F. Ianni , G. Ruocco
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