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Related papers: Aging, phase ordering and conformal invariance

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Experiments on spin glasses can now make precise measurements of the exponent $z(T)$ governing the growth of glassy domains, while our computational capabilities allow us to make quantitative predictions for experimental scales. However,…

We study the out of equilibrium dynamics of several models exhibiting aging. We attempt at identifying various types of aging systems using a phase space point of view: we introduce a trial classification, based on the overlap between two…

Condensed Matter · Physics 2009-10-28 A. Barrat , R. Burioni , M. Mézard

We show that the generating functional describing the slow dynamics of spin glass systems is invariant under reparametrizations of the time. This result is general and applies for both infinite and short range models. It follows simply from…

Condensed Matter · Physics 2009-11-07 Claudio Chamon , Malcolm P. Kennett , Horacio Castillo , Leticia F. Cugliandolo

We explore the concept of scaling invariance in a type of dynamical systems that undergo a transition from order (regularity) to disorder (chaos). The systems are described by a two-dimensional, nonlinear mapping that preserves the area in…

Chaotic Dynamics · Physics 2025-04-09 Edson D. Leonel

Non-equilibrium dynamics of three dimensional model spin glasses - the Ising system Fe$_{0.50}$Mn$_{0.50}$TiO$_3$ and the Heisenberg like system Ag(11 at% Mn) - has been investigated by measurements of the isothermal time decay of the low…

Disordered Systems and Neural Networks · Physics 2016-08-31 P. E. Jönsson , H. Yoshino , P. Nordblad , H. Aruga Katori , A. Ito

Surface aging phenomena are discussed for semi-infinite systems prepared in a fully disordered initial state and then quenched to or below the critical point. Besides solving exactly the semi-infinite Ising model in the limit of large…

Statistical Mechanics · Physics 2009-11-13 Florian Baumann , Michel Pleimling

We investigate numerically the dynamics of three different spin models in the aging regime. Each of these models is meant to be representative of a distinct class of aging behavior: coarsening systems, discontinuous spin glasses, and…

Disordered Systems and Neural Networks · Physics 2009-11-10 Andrea Montanari , Federico Ricci-Tersenghi

The dynamics of strongly disordered systems becomes extremely slow or glassy at low temperatures, which results in a characteristic aging scenario. This means that the outcome of measurements strongly depends on the history of the system…

Condensed Matter · Physics 2015-06-25 Heiko Rieger

The relaxation dynamics of many disordered systems, such as structural glasses, proteins, granular materials or spin glasses, is not completely frozen even at very low temperatures. This residual motion leads to a change of the properties…

Soft Condensed Matter · Physics 2009-10-31 Walter Kob , Francesco Sciortino , Piero Tartaglia

We have examined the nonconventional spin glass phase of the 2-dimensional kagome antiferromagnet (H_3 O) Fe_3 (SO_4)_2 (OH)_6 by means of ac and dc magnetic measurements. The frequency dependence of the ac susceptibility peak is…

Disordered Systems and Neural Networks · Physics 2009-10-31 A. S. Wills , V. Dupuis , E. Vincent , J. Hammann , R. Calemczuk

Non-equilibrium aging dynamics in 3D Ising spin glass Cu$_{0.5}$Co$_{0.5}$Cl$_{2}$-FeCl$_{3}$ GBIC has been studied by zero-field cooled (ZFC) magnetization and low frequency AC magnetic susceptibility ($f = 0.05$ Hz), where $T_{g} = 3.92…

Disordered Systems and Neural Networks · Physics 2009-11-10 M. Suzuki , I. S. Suzuki

We investigate the non-equilibrium dynamics of spherical spin models with two-spin interactions. For the exactly solvable models of the d-dimensional spherical ferromagnet and the spherical Sherrington-Kirkpatrick model the asymptotic…

Statistical Mechanics · Physics 2015-06-25 W. Zippold , R. Kuehn , H. Horner

Statistical systems displaying a strongly anisotropic or dynamical scaling behaviour are characterized by an anisotropy exponent theta or a dynamical exponent z. For a given value of theta, we construct local scale transformations which can…

High Energy Physics - Theory · Physics 2015-06-26 Malte Henkel

Aging, the process of growing old or maturing, is one of the most widely seen natural phenomena in the world. For the stochastic processes, sometimes the influence of aging can not be ignored. For example, in this paper, by analyzing the…

Chemical Physics · Physics 2017-11-30 Wanli Wang , Weihua Deng

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

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 study the ageing properties of the semi-infinite kinetic spherical model at the critical point and in the ordered low-temperature phase, both for Dirichlet and Neumann boundary conditions. The surface fluctuation-dissipation ratio and…

Statistical Mechanics · Physics 2009-11-11 Florian Baumann , Michel Pleimling

We present numerical evidence that the techniques of conformal field theory might be applicable to two-dimensional Ising spin glasses with Gaussian bond distributions. It is shown that certain domain wall distributions in one geometry can…

Disordered Systems and Neural Networks · Physics 2009-11-11 C. Amoruso , A. K. Hartmann , M. B. Hastings , M. A. Moore

We study a stochastic model based on a modified fragmentation of a finite interval. The mechanism consists in cutting the interval at a random location and substituting a unique fragment on the right of the cut to regenerate and preserve…

Statistical Mechanics · Physics 2018-04-25 Jean-Yves Fortin

Spin-glass and chiral-glass orderings of a three-dimensional isotropic Heisenberg spin glass are studied both by equilibrium and off-equilibrium Monte Carlo simulations with emphasis on their dynamical aspects. The model is found to exhibit…

Disordered Systems and Neural Networks · Physics 2007-05-23 H. Kawamura , K. Hukushima