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Related papers: Aging phenomena in critical semi-infinite systems

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Using RG we investigate the non-equilibrium relaxation of the (Cardy-Ostlund) 2D random Sine-Gordon model, which describes pinned arrays of lines. Its statics exhibits a marginal ($\theta=0$) glass phase for $T<T_g$ described by a line of…

Disordered Systems and Neural Networks · Physics 2009-11-10 Gregory Schehr , Pierre Le Doussal

The scaling of the spatio-temporal response of coarsening systems is studied through simulations of the 2D and 3D Ising model with Glauber dynamics. The scaling functions agree with the prediction of local scale invariance, extending…

Statistical Mechanics · Physics 2016-08-31 Malte Henkel , Michel Pleimling

Dynamical correlations of the spin and the energy density are investigated in the critical region of the random transverse-field Ising chain by numerically exact calculations in large finite systems (L<=128). The spin-spin autocorrelation…

Disordered Systems and Neural Networks · Physics 2016-08-31 H. Rieger , F. Igloi

We study ageing during surface growth processes described by the one-dimensional Kardar-Parisi-Zhang equation. Starting from a flat initial state, the systems undergo simple ageing in both correlators and linear responses and its dynamical…

Statistical Mechanics · Physics 2012-03-29 Malte Henkel , Jae Dong Noh , Michel Pleimling

We investigate the nonequilibrium behavior of the d-dimensional Ising model with purely dissipative dynamics during its critical relaxation from a magnetized initial configuration. The universal scaling forms of the two-time response and…

Statistical Mechanics · Physics 2011-02-16 Pasquale Calabrese , Andrea Gambassi , Florent Krzakala

We investigate the non-equilibrium two-time correlation and response functions and the associated fluctuation-dissipation ratio for the ferromagnetic Ising chain with Glauber dynamics. The scaling behavior of these quantities at low…

Statistical Mechanics · Physics 2009-10-31 C. Godreche , J. M. Luck

We numerically investigate the stationary and non-equilibrium critical dynamics in three-dimensional isotropic Heisenberg antiferromagnets. Since the non-conserved staggered magnetization couples dynamically to the conserved magnetization…

Statistical Mechanics · Physics 2019-02-27 Riya Nandi , Uwe C. Täuber

Aging phenomena are examples of `non-equilibrium criticality' and can be exemplified by systems with Galilean and scaling symmetries but no time translation invariance. We realize aging holographically using a deformation of a…

High Energy Physics - Theory · Physics 2010-12-09 Juan I. Jottar , Robert G. Leigh , Djordje Minic , Leopoldo A. Pando Zayas

The phase behavior of fluids near weakly attractive substrates is studied by computer simulations of the coexistence curve of a Lennard-Jones (LJ) fluid confined in a slitlike pore. The temperature dependence of the density profiles of the…

Statistical Mechanics · Physics 2009-11-10 I. Brovchenko , A. Geiger , A. Oleinikova

The universality class, even the order of the transition, of the two-dimensional Ising model depends on the range and the symmetry of the interactions (Onsager model, Baxter-Wu model, Turban model, etc.), but the critical temperature is…

Statistical Mechanics · Physics 2009-11-13 Laszlo Kornyei , Michel Pleimling , Ferenc Igloi

The presence of the aging phenomenon in the homogeneous cooling state (HCS) of a granular fluid composed of inelastic hard spheres or disks is investigated. As a consequence of the scaling property of the $N$-particle distribution function,…

Statistical Mechanics · Physics 2007-11-14 J. J. Brey , A. Prados , M. I. Garcia de Soria , P. Maynar

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 study numerically the non-equilibrium critical properties of the Ising model defined on direct products of graphs, obtained from factor graphs without phase transition (Tc = 0). On this class of product graphs, the Ising model features a…

Statistical Mechanics · Physics 2010-12-20 R. Burioni , F. Corberi , A. Vezzani

We study toy aging processes in hierarchically decomposed phase spaces where the equilibrium probability distributions are multifractal. We found that the an auto-correlation function, survival-return probability, shows crossover behavior…

Disordered Systems and Neural Networks · Physics 2016-08-31 Hajime Yoshino

The dynamics based on information transfer is proposed as an underlying mechanism for the scale-invariant dynamic critical behavior observed in a variety of systems. We apply the dynamics to the globally-coupled Ising model, which is…

Statistical Mechanics · Physics 2009-11-10 M. Y. Choi , B. J. Kim , B. -G. Yoon , H. Park

Reversible reaction-diffusion systems display anomalous dynamics characterized by a power-law relaxation toward stationarity. In this paper we study in the aging regime the nonequilibrium dynamical properties of some model systems with…

Statistical Mechanics · Physics 2009-11-13 Vlad Elgart , Michel Pleimling

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

Reaction-diffusion systems with reversible reactions generically display power-law relaxation towards chemical equilibrium. In this work we investigate through numerical simulations aging processes that characterize the non-equilibrium…

Statistical Mechanics · Physics 2011-06-10 Nasrin Afzal , Justin Waugh , Michel Pleimling

The collective behaviour of statistical systems close to critical points is characterized by an extremely slow dynamics which, in the thermodynamic limit, eventually prevents them from relaxing to an equilibrium state after a change in the…

Statistical Mechanics · Physics 2009-07-13 Andrea Gambassi

The complex Ginzburg-Landau equation with additive noise is a stochastic partial differential equation that describes a remarkably wide range of physical systems which include coupled non-linear oscillators subject to external noise near a…

Statistical Mechanics · Physics 2020-01-27 Weigang Liu , Uwe C. Täuber
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