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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…

Disordered Systems and Neural Networks · Physics 2009-10-31 Lexie Davison , David Sherrington

A model is proposed that considers aging and rejuvenation in a soft glassy material as respectively a decrease and an increase in free energy. The aging term is weighted by inverse of characteristic relaxation time suggesting greater…

Soft Condensed Matter · Physics 2015-02-25 Yogesh M. Joshi

We demonstrate non-equilibrium scaling laws for the aging dynamics in glass formers that emerge from combining a recent application of Onsager's theory of irreversible processes with the equilibrium scaling laws of glassy dynamics.…

Soft Condensed Matter · Physics 2022-12-15 Luis F. Elizondo-Aguilera , Tommaso Rizzo , Thomas Voigtmann

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

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

The statics of the Fredrickson-Andersen model (FAM) of the liquid-glass transition is solved on the Bethe lattice (BL). The kinetic constraints of the FAM imply on the BL an ergodicity-breaking transition to a (glassy) phase where a…

Disordered Systems and Neural Networks · Physics 2024-10-24 Gianmarco Perrupato , Tommaso Rizzo

We study the long time dynamics of quantum spin glasses of rotors using the non-equilibrium Schwinger-Keldysh formalism. These models are known to have a quantum phase transition from a paramagnetic to a spin glass phase, which we approach…

Disordered Systems and Neural Networks · Physics 2009-11-07 Malcolm P. Kennett , Claudio Chamon , Jinwu Ye

We study the off-equilibrium dynamics of the three-dimensional Ising spin glass in the presence of an external magnetic field. We have performed simulations both at fixed temperature and with an annealing protocol. Thanks to the Janus…

We clarify the relation between the ergodicity breaking transition predicted by mode-coupling theory and the so-called dynamic transition predicted by the static replica approach. Following Franz and Parisi [Phys. Rev. Lett. 79, 2486…

Statistical Mechanics · Physics 2015-05-18 Grzegorz Szamel

The analytical solution to the out-of-equilibrium dynamics of mean-field spin glasses has profoundly shaped our understanding of glassy dynamics, which take place in many diverse physical systems. In particular, the idea that during the…

Disordered Systems and Neural Networks · Physics 2025-12-11 Vincenzo Citro , Federico Ricci-Tersenghi

Glasses are out-of-equilibrium systems aging under the crystallization threat. During ordinary glass formation, the atomic diffusion slows down rendering its experimental investigation impractically long, to the extent that a timescale…

Disordered Systems and Neural Networks · Physics 2015-08-28 E. A. A. Pogna , C. Rodríguez-Tinoco , G. Cerullo , C. Ferrante , J. Rodríguez-Viejo , T. Scopigno

Using a series of fast cooling protocols we have probed aging effects in the spin glass state as a function of temperature. Analyzing the logarithmic decay found at very long time scales within a simple phenomenological barrier model, leads…

Disordered Systems and Neural Networks · Physics 2011-06-21 G. G. Kenning , J. Bowen , P. Sibani , G. F. Rodriguez

Aging refers to the evolution of system properties with waiting time $t_w$. It is a key feature of glassy dynamics. Recent experiments have demonstrated aging in biological systems that are inherently active with a magnitude of…

Soft Condensed Matter · Physics 2026-04-10 Soumitra Kolya , Nir S. Gov , Saroj Kumar Nandi

We construct the equations for the growth kinetics of an aging structural glass within mode-coupling theory through a non-stationary variant of the 3-density correlator defined in Phys. Rev. Lett. {\bf 97}, 195701 (2006). We solve a…

Soft Condensed Matter · Physics 2021-08-24 Saroj Kumar Nandi , Sriram Ramaswamy

Glass-forming liquids display strong fluctuations -- dynamical heterogeneities -- near their glass transition. By numerically simulating a binary Weeks-Chandler-Andersen liquid and varying both temperature and timescale, we investigate the…

Disordered Systems and Neural Networks · Physics 2011-08-15 Azita Parsaeian , Horacio E. Castillo

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…

Disordered Systems and Neural Networks · Physics 2023-03-03 Eric Vincent

Spin-glass and chiral-glass orderings in three-dimensional Heisenberg spin glasses are studied both by equilibrium and off-equilibrium Monte Carlo simulations. Fully isotropic model is found to exhibit a finite-temperature chiral-glass…

Disordered Systems and Neural Networks · Physics 2009-10-31 H. Kawamura , K. Hukushima

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

We consider a simple model of a structural glass, represented by a lattice gas with kinetic constraints in contact with a particle reservoir. Quench below the glass transition is represented by the jump of the chemical potential above a…

Statistical Mechanics · Physics 2007-05-23 Luca Peliti , Mauro Sellitto

We performed a series of aging experiments of an inorganic glass (As${_2}$Se${_3}$) at a temperature ${T_2}$ near the glass transition point ${T_g}$ by first relaxing it at ${T_1}$. The relaxation of Young's modulus was monitored, which…

Disordered Systems and Neural Networks · Physics 2023-02-07 Jianbiao Wang , Xu Wang , Haihui Ruan
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