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We study theoretically and numerically a family of multi-point dynamic susceptibilities that quantify the strength and characteristic lengthscales of dynamic heterogeneities in glass-forming materials. We use general theoretical arguments…

The interrelation of dynamic processes active on separated time-scales in glasses and viscous liquids is investigated using a model displaying two time-scale bifurcations both between fast and secondary relaxation and between secondary and…

Disordered Systems and Neural Networks · Physics 2015-03-19 Andrea Crisanti , Luca Leuzzi , Matteo Paoluzzi

In this paper, we review several important features of the out-of-equilibrium dynamics of spin glasses. Starting with the simplest experiments, we discuss the scaling laws used to describe the isothermal aging observed in spin glasses after…

Disordered Systems and Neural Networks · Physics 2009-11-10 V. Dupuis , F. Bert , J. -P. Bouchaud , J. Hammann , F. Ladieu , D. Parker , E. Vincent

At low temperatures the configurational phase space of a macroscopic complex system (e.g., a spin-glass) of $N\sim 10^{23}$ interacting particles may split into an exponential number $\Omega_s \sim \exp({\rm const} \times N)$ of ergodic…

Disordered Systems and Neural Networks · Physics 2018-02-14 Haijun Zhou , Kang Li

Motivated by the mean field prediction of a Gardner phase transition between a "normal glass" and a "marginally stable glass", we investigate the off-equilibrium dynamics of three-dimensional polydisperse hard spheres, used as a model for…

Soft Condensed Matter · Physics 2018-06-28 Beatriz Seoane , Francesco Zamponi

We consider a frustrated spin model with a glassy dynamics characterized by a slow component and a fast component in the relaxation process. The slow process involves variables with critical behavior at finite temperature T_p and has a…

Disordered Systems and Neural Networks · Physics 2016-11-23 Giancarlo Franzese

Broken-symmetry-induced order parameters account for many phenomena in condensed matter physics. For spin glasses, such a framework dictates its theoretical construction, whereas experiments have only established dynamical behaviors such as…

Disordered Systems and Neural Networks · Physics 2026-05-25 Margarita G. Dronova , Feng Ye , Zachary J. Morgan , Yishu Wang , Yejun Feng

We consider off-equilibrium dynamics at the critical temperature in a class of glassy system. The off-equilibrium correlation and response functions obey a precise scaling form in the aging regime. The structure of the {\it equilibrium}…

Disordered Systems and Neural Networks · Physics 2013-03-18 Francesco Caltagirone , Giorgio Parisi , Tommaso Rizzo

We study at- and out-of-equilibrium dynamics of a single homopolymer chain at low temperature using molecular dynamics simulations. The main quantities of interest are the average root mean square displacement of the monomers below the…

Soft Condensed Matter · Physics 2009-11-07 Nikolay V. Dokholyan , Estelle Pitard , Sergey V. Buldyrev , H. Eugene Stanley

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…

Statistical Mechanics · Physics 2009-11-13 Sebastien Leonard , Peter Mayer , Peter Sollich , Ludovic Berthier , Juan P. Garrahan

Notwithstanding great strides that statistical mechanics has made in recent decades, an analytic solution of arguably the simplest model of relaxation dynamics, the Ising model in an applied external field remains elusive even in $1d$.…

Statistical Mechanics · Physics 2023-03-28 Diana Thongjaomayum , Prabodh Shukla

We use dynamic light scattering and computer simulations to study equilibrium dynamics and dynamic heterogeneity in concentrated suspensions of colloidal hard spheres. Our study covers an unprecedented density range and spans seven decades…

The non-equilibrium relaxational properties of a three dimensional Coulomb glass model are investigated by kinetic Monte Carlo simulations. Our results suggest a transition from stationary to non-stationary dynamics at the equilibrium glass…

Disordered Systems and Neural Networks · Physics 2007-05-23 Alejandro B. Kolton , D. R. Grempel , Daniel Dominguez

Graphity models are characterized by configuration spaces in which states correspond to graphs and Hamiltonians that depend on local properties of graphs such as the degrees of vertices and numbers of short cycles. As statistical systems,…

High Energy Physics - Theory · Physics 2008-11-26 Tomasz Konopka

We discuss a novel approach, the point-to-set correlation functions, that allows to determine relevant static and dynamic length scales in glass-forming liquids. We find that static length scales increase monotonically when the temperature…

Disordered Systems and Neural Networks · Physics 2013-07-04 Walter Kob , Sandalo Roldan-Vargas , Ludovic Berthier

We study the temperature dependence of static and dynamic responses of Coulomb interacting particles in two-dimensional traps across the thermal crossover from an amorphous solid- to liquid-like behaviors. While static correlations, that…

Disordered Systems and Neural Networks · Physics 2017-10-11 Biswarup Ash , J. Chakrabarti , Amit Ghosal

We use computer simulations to explore the manner in which the particle displacements on intermediate time scales in supercooled fluids correlate to their dynamic structural environment. The fluid we study, a binary mixture of hard spheres,…

Soft Condensed Matter · Physics 2010-05-11 William P. Krekelberg , Venkat Ganesan , Thomas M. Truskett

We examine the structural relaxation of glassy materials at finite temperatures, considering the effect of activated rearrangements and long-range elastic interactions. Our three-dimensional mesoscopic relaxation model shows how the…

Soft Condensed Matter · Physics 2023-12-20 Gieberth Rodriguez-Lopez , Kirsten Martens , Ezequiel E. Ferrero

We study large deviations of the dynamical activity in the random orthogonal model (ROM). This is a fully connected spin-glass model with one-step replica symmetry breaking behaviour, consistent with the random first-order transition…

Statistical Mechanics · Physics 2010-04-20 Robert L. Jack , Juan P. Garrahan

We study dynamic heterogeneities in a model glass-former whose overlap with a reference configuration is constrained to a fixed value. The system phase-separates into regions of small and large overlap, so that dynamical correlations remain…

Disordered Systems and Neural Networks · Physics 2012-07-19 C. Cammarota , A. Cavagna , I. Giardina , G. Gradenigo , T. S. Grigera , G. Parisi , P. Verrocchio
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