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We present a statistical method for complex energy landscape exploration which provides information on the metastable states--or valleys--actually explored by an unperturbed aging process following a quench. Energy fluctuations of record…

Statistical Mechanics · Physics 2009-11-10 Jesper Dall , Paolo Sibani

We propose a way to analyze the landscape geometry explored by a glassy system after a quench solely based on time series of energy values recorded during a simulation. Entry and exit times for landscape `valleys' are defined operationally…

Statistical Mechanics · Physics 2007-05-23 Paolo Sibani , Jesper Dall

Non-equilibrium dynamics of classical random Ising spin chains are studied using asymptotically exact real space renormalization group. Specifically the random field Ising model with and without an applied field (and the Ising spin glass…

Condensed Matter · Physics 2009-10-31 Daniel S. Fisher , Pierre Le Doussal , Cecile Monthus

Using Monte Carlo simulations, we have studied the relaxation of energy of the three-dimensional Ising spin-glass model in aging process. Our finite-size-scaling analysis on the isothermal energy decay after the quench suggests strongly…

Disordered Systems and Neural Networks · Physics 2009-10-31 Tatsuo Komori , Hajime Yoshino , Hajime Takayama

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

Record Dynamics (RD) deals with complex systems evolving through a sequence of metastable stages. These are macroscopically distinguishable and appear stationary, except for the sudden and rapid changes, called quakes, which induce the…

Statistical Mechanics · Physics 2021-07-23 Paolo Sibani , Stefan Boettcher , Henrik Jeldtoft Jensen

We compare aging in a disordered ferromagnet and in a spin glass, by studying the different phases of a reentrant system. We have measured the relaxation of the low-frequency ac susceptibility, in both the ferromagnetic and spin-glass…

Disordered Systems and Neural Networks · Physics 2009-10-31 E. Vincent , V. Dupuis , M. Alba , J. Hammann , J. -P. Bouchaud

We study the intermittent behavior of the energy decay and linear magnetic response of a glassy system during isothermal aging after a deep thermal quench using the Edward-Anderson spin glass model as a paradigmatic example. The large…

Statistical Mechanics · Physics 2008-01-02 Paolo Sibani

A review is given on some recent developments in the theory of the Ising model in a random field. This model is a good representation of a large number of impure materials. After a short repetition of earlier arguments, which prove the…

Statistical Mechanics · Physics 2008-02-03 T. Nattermann

The non-equilibrium dynamics of the model 3d-Ising spin glass - Fe$_{0.55}$Mn$_{0.45}$TiO$_3$ - has been investigated from the temperature and time dependence of the zero field cooled magnetization recorded under certain thermal protocols.…

Materials Science · Physics 2016-08-31 R. Mathieu , P. E. Jönsson , P. Nordblad , H. Aruga Katori , A. Ito

In this paper, we review the general features of the out-of-equilibrium dynamics of spin glasses. We use this example as a guideline for a brief description of glassy dynamics in other disordered systems like structural and polymer glasses,…

Disordered Systems and Neural Networks · Physics 2009-11-03 Eric Vincent

Spin glasses are frustrated magnetic systems due to a random distribution of ferro- and antiferromagnetic interactions. An experimental three dimensional (3d) spin glass exhibits a second order phase transition to a low temperature spin…

Disordered Systems and Neural Networks · Physics 2009-11-10 Per Nordblad

We numerically analyse the landscape governing the evolution of the vibrational dynamics of hard disk glasses as the density increases towards jamming. We find that the dynamics becomes slow, spatially correlated, and starts to display…

Disordered Systems and Neural Networks · Physics 2019-03-22 Qinyi Liao , Ludovic Berthier

We numerically study the aging properties of the dynamical heterogeneities in the Ising spin glass. We find that a phase transition takes place during the aging process. Statics-dynamics correspondence implies that systems of finite size in…

By using renormalization-group (RG) methods, we study a non-mean-field model of a spin glass built on a hierarchical lattice, the hierarchical Edwards-Anderson model in a magnetic field. We investigate the spin-glass transition in a field…

Disordered Systems and Neural Networks · Physics 2015-03-03 Michele Castellana , Carlo Barbieri

The slow non-equilibrium dynamics of the Edwards-Anderson spin glass model on a hierarchical lattice is studied by means of a coarse-grained description based on renormalization concepts. We evaluate the isothermal aging properties and show…

Disordered Systems and Neural Networks · Physics 2009-11-10 Falk Scheffler , Hajime Yoshino , Philipp Maass

The dynamic evolution at zero temperature of a uniform Ising ferromagnet on a square lattice is followed by Monte Carlo computer simulations. The system always eventually reaches a final, absorbing state, which sometimes coincides with a…

Computational Physics · Physics 2009-11-11 P. M. C. de Oliveira , C. M. Newman , V. Sidoravicious , D. L. Stein

It is well established that the ferromagnetic phase remains stable under random magnetic fields in three and higher dimensions for the ferromagnetic Ising model and the Edwards-Anderson model of spin glasses without correlation in the…

Disordered Systems and Neural Networks · Physics 2025-04-11 Hidetoshi Nishimori

Isothermal simulational data for the 3D Edwards-Anderson spin glass are collected at several temperatures below $T_{\rm c}$ and, in analogy with a recent model of dense colloidal suspensions,interpreted in terms of clusters of contiguous…

Statistical Mechanics · Physics 2018-08-15 Paolo Sibani , Stefan Boettcher

The microscopic dependence of glassy equilibration on sample history, both the initial configuration and the specific sequence of random noise, is examined. The temporal evolution of spin configurations in a two-dimensional Ising spin glass…

Disordered Systems and Neural Networks · Physics 2018-08-23 Jie Yang , A. Alan Middleton
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