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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…

统计力学 · 物理学 2015-06-25 W. Zippold , R. Kuehn , H. Horner

We propose a new class of phenomenological models for dynamic glass transitions. The system consists of an ensemble of mesoscopic regions to which local energies are allocated. At each time step, a region is randomly chosen and a new local…

无序系统与神经网络 · 物理学 2009-11-11 Ivan Junier

We present time-dependent dielectric loss data at different frequencies for a variety of glass formers after cooling below the glass temperature. The observed aging dynamics is described using a modified Kohlrausch-Williams-Watts law, which…

无序系统与神经网络 · 物理学 2007-05-23 P. Lunkenheimer , R. Wehn , U. Schneider , A. Loidl

Models of many-species ecosystems, such as the Lotka-Volterra and replicator equations, suggest that these systems generically exhibit near-extinction processes, where population sizes go very close to zero for some time before rebounding,…

统计力学 · 物理学 2023-03-15 Thibaut Arnoulx de Pirey , Guy Bunin

In this article we study a simple, purely topological, cellular model which is allowed to evolve through a Glauber-Kawasaki process. We find a non-thermodynamic transition to a glassy phase in which the energy (defined as the square of the…

无序系统与神经网络 · 物理学 2009-10-31 Lexie Davison , David Sherrington

In this work we study numerically the out of equilibrium dynamics of the Hopfield model for associative memory inside its spin-glass phase. Besides its interest as a neural network model it can also be considered as a prototype of fully…

无序系统与神经网络 · 物理学 2009-10-31 M. A. Montemurro , F. A. Tamarit , D. A. Stariolo , S. A. Cannas

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…

无序系统与神经网络 · 物理学 2009-10-31 Tatsuo Komori , Hajime Yoshino , Hajime Takayama

We consider Random Hopping Time (RHT) dynamics of the Sherrington - Kirkpatrick (SK) model and p-spin models of spin glasses. For any of these models and for any inverse temperature we prove that, on time scales that are sub-exponential in…

概率论 · 数学 2010-10-26 G. Ben Arous , O. Gun

The coupling of active, self-motile particles to topological constraints can give rise to novel non-equilibrium dynamical patterns that lack any passive counterpart. Here we study the behavior of self-propelled rods confined to a compact…

统计力学 · 物理学 2018-08-21 Liesbeth M. C. Janssen , Andreas Kaiser , Hartmut Löwen

We consider the dynamics of spin facilitated models of glasses in the non-equilibrium aging regime following a sudden quench from high to low temperatures. We briefly review known results obtained for the broad class of kinetically…

统计力学 · 物理学 2009-11-13 Sebastien Leonard , Peter Mayer , Peter Sollich , Ludovic Berthier , Juan P. Garrahan

Ageing of organic glasses to the equilibrium liquid state is studied by measuring the dielectric loss utilizing a microregulator where temperature is controlled by means of a Peltier element. Compared to conventional equipment the new…

软凝聚态物质 · 物理学 2011-07-18 Niels Boye Olsen , Tina Hecksher , Kristine Niss , Jeppe C. Dyre

We study the Metropolis dynamics of a simple spin system without disorder, which exhibits glassy dynamics at low temperatures. We use an implementation of the algorithm of Bortz, Kalos and Lebowitz \cite{bortz}. This method turns out to be…

凝聚态物理 · 物理学 2009-10-22 Werner Krauth , Marc Mezard

Understanding and controlling physical aging, i.e. the spontaneous temporal evolution of out-of-equilibrium systems, represents one of the greatest tasks in material science. Recent studies have revealed the existence of a complex atomic…

材料科学 · 物理学 2016-02-17 V. M. Giordano , B. Ruta

We use record dynamics (RD), a coarse-grained description of the ubiquitous relaxation phenomenology known as "aging", as a diagnostic tool to find universal features that distinguish between the energy landscapes of Ising spin models and…

无序系统与神经网络 · 物理学 2021-01-11 Stefan Boettcher , Mahajabin Rahman

The GREM-like trap model is a continuous time Markov jump process on the leaves of a finite volume $L$-level tree whose transition rates depend on a trapping landscape built on the vertices of the whole tree. We prove that the natural…

概率论 · 数学 2015-01-14 Véronique Gayrard , Onur Gün

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…

无序系统与神经网络 · 物理学 2007-05-23 Tatsuo Komori , Hajime Yoshino , Hajime Takayama

Many dense magnetic nanoparticle systems exhibit slow dynamics which is qualitatively indistinguishable from that observed in atomic spin glasses and its origin is attributed to dipole interactions among particle moments (or superspins).…

无序系统与神经网络 · 物理学 2009-11-10 M. Sasaki , P. E. Jönsson , H. Takayama , H. Mamiya

A spin glass is a diluted magnetic material in which the magnetic moments are randomly interacting, with a huge number of metastable states which prevent reaching equilibrium. Spin-glass models are conceptually simple, but require very…

无序系统与神经网络 · 物理学 2023-03-03 Eric Vincent

We study numerically temperature-shift and field-shift aging protocols on the 3-dimensional (3D) Ising Edwards-Anderson (EA) spin-glass (SG) model focusing on respectively the temperature-chaos nature and the stability under a static field…

无序系统与神经网络 · 物理学 2016-08-31 H. Takayama

We present a detailed analysis for the Langevin dynamics of a spherical spin-glass model (the spherical Sherrington-Kirkpatrick model). All the spins in the system are coupled by pairs via a random interaction matrix taken from the Gaussian…

凝聚态物理 · 物理学 2016-08-31 Leticia F. Cugliandolo , David S. Dean