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In order to describe the thermodynamics of the glassy systems it has been recently introduced an extra parameter also called effective temperature which generalizes the fluctuation-dissipation theorem (FDT) to systems off-equilibrium and…

Disordered Systems and Neural Networks · Physics 2015-06-24 Adan Garriga , Felix Ritort

We study analytically the dynamics of a generalized p-spin model, starting with a thermalized initial condition. The model presents birth and death of states, hence the dynamics (even starting at equilibrium) may go out of equilibrium when…

Disordered Systems and Neural Networks · Physics 2009-11-11 Barbara Capone , Tommaso Castellani , Irene Giardina , Federico Ricci-Tersenghi

The dynamical glass transition is typically taken to be the temperature at which a glassy liquid is no longer able to equilibrate on experimental timescales. Consequently, the physical properties of these systems just above or below the…

Soft Condensed Matter · Physics 2017-03-08 Samuel S. Schoenholz , Ekin D. Cubuk , Efthimios Kaxiras , Andrea J. Liu

We present numerical investigations of the dynamics on the energy landscape of a realistic model of the high-temperature ceramic a-Si3B3N7. Below a critical temperature Tc = 2000 K, the system is no longer in equilibrium, and we predict…

Statistical Mechanics · Physics 2007-05-23 A. Hannemann , J. C. Schon , M. Jansen , P. Sibani

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

We study the non-equilibrium relaxation of an elastic line described by the Edwards-Wilkinson equation. Although this model is the simplest representation of interface dynamics, we highlight that many (not though all) important aspects of…

Statistical Mechanics · Physics 2009-11-13 Sebastian Bustingorry , Leticia F. Cugliandolo , José Luis Iguain

We introduce a simple two-dimensional spin model with short-range interactions which shows glassy behavior despite a Hamiltonian which is completely homogeneous and possesses no randomness. We solve exactly for both the static partition…

Statistical Mechanics · Physics 2009-10-30 M. E. J. Newman , Cristopher Moore

Understanding glasses is considered to be one of the most fundamental problems in statistical physics. A theoretical approach to unravel their universal properties is to consider the validity of equilibrium concepts such as temperature and…

Soft Condensed Matter · Physics 2015-06-25 Ping Wang , Chaoming Song , Hernan A. Makse

We discuss the response of aging systems with short-range interactions to a class of random perturbations. Although these systems are out of equilibrium, the limit value of the free energy at long times is equal to the equilibrium free…

Disordered Systems and Neural Networks · Physics 2015-06-25 S. Franz , M. Mezard , G. Parisi , L. Peliti

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

The dynamic behaviour of glassy materials displays strong nonequilibrium effects, such as ageing in simple protocols, memory, rejuvenation and Kovacs effects in more elaborated experiments. We show that this phenomenology may be easily…

Statistical Mechanics · Physics 2009-11-07 Ludovic Berthier , Peter C. W. Holdsworth

The dynamical behavior of a kind of models with hierarchically constrained dynamics is investigated. The models exhibit many properties resembling real structural glasses. In particular, we focus on the study of time-dependent temperature…

Statistical Mechanics · Physics 2009-11-07 A. Prados , J. J. Brey

We study the off-equilibrium relaxational dynamics at criticality in the three-dimensional Blume-Capel model whose static critical behaviour belongs to the 3d-Ising universality class. Using "improved" Hamiltonian (the leading corrections…

Statistical Mechanics · Physics 2015-03-17 Mario Collura

We present a detailed study of simple `tree' models for off equilibrium dynamics and aging in glassy systems. The simplest tree describes the landscape of a random energy model, whereas multifurcating trees occur in the solution of the…

Condensed Matter · Physics 2009-10-22 J-P. Bouchaud , D. S. Dean

The aging dynamics of a simple model glass is numerically investigated observing how it takes place in the potential energy landscape $V$. Partitioning the landscape in basins of minima of $|\nabla V|^2$, we are able to elucidate some…

Soft Condensed Matter · Physics 2017-08-23 R. Di Leonardo , L. Angelani , G. Parisi , G. Ruocco , A. Scala , F. Sciortino

In off-equilibrium dynamics we define a dynamical correlation length which is proportional to the size of the region in which the atoms move in a correlated way. General arguments indicate that this dynamical correlation length diverges at…

Condensed Matter · Physics 2007-05-23 Giorgio Parisi

The description of activated relaxation of glassy systems in the multidimensional configurational space is a long-standing open problem. We develop a phenomenological description of the out-of-equilibrium dynamics of a model with a rough…

Disordered Systems and Neural Networks · Physics 2014-10-09 Chiara Cammarota , Enzo Marinari

We study the off-equilibrium two-point critical response and correlation functions for the relaxational dynamics with a coupling to a conserved density (Model C) of the O(N) vector model. They are determined in an \epsilon=4-d expansion for…

Statistical Mechanics · Physics 2009-11-07 Pasquale Calabrese , Andrea Gambassi

A system is glassy when the observation time is much smaller than the equilibration time. A unifying thermodynamic picture of the glassy state is presented. Slow configurational modes are in quasi-equilibrium at an effective temperature. It…

Statistical Mechanics · Physics 2009-10-31 Th. M. Nieuwenhuizen

We study the dynamics of the East model, comprising a chain of uncoupled spins in a downward-pointing field. Glassy effects arise at low temperatures $T$ from the kinetic constraint that spins can only flip if their left neighbour is up. We…

Statistical Mechanics · Physics 2007-05-23 P. Sollich , M. R. Evans