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Kob and Andersen's simple lattice models for the dynamics of structural glasses are analyzed. Although the particles have only hard core interactions, the imposed constraint that they cannot move if surrounded by too many others causes slow…

Disordered Systems and Neural Networks · Physics 2009-11-10 Cristina Toninelli , Giulio Biroli , Daniel S. Fisher

Mixtures of glass-forming fluids sometimes exhibit glass-glass phase separation at low temperatures. Here, we use a molecular dynamics simulation to study one of the simplest examples of the glass-glass phase separation. We consider a…

Statistical Mechanics · Physics 2020-04-07 Yuri Oku , Kyohei Takae , Atsushi Ikeda

The glass phase and its quantum analog are prominent challenges of current non-equilibrium statistical mechanics and condensed matter physics. As a model system to study the transition from classical to quantum glassy dynamics, we propose a…

Quantum Physics · Physics 2015-11-23 Marco Mattioli , Alexander W. Glaetzle , Wolfgang Lechner

Kinetically constrained spin models are schematic coarse-grained models for the glass transition which represent an efficient theoretical tool to study detailed spatio-temporal aspects of dynamic heterogeneity in supercooled liquids. Here,…

Statistical Mechanics · Physics 2009-11-11 Sébastien Léonard , Ludovic Berthier

We apply a generalized Kibble-Zurek out-of-equilibrium scaling ansatz to simulated annealing when approaching the spin-glass transition at temperature $T=0$ of the two-dimensional Ising model with random $J= \pm 1$ couplings. Analyzing the…

Statistical Mechanics · Physics 2017-05-31 Shanon J. Rubin , Na Xu , Anders W. Sandvik

We discuss the slow, nonequilibrium, dynamics of spin glasses in their glassy phase. We briefly review the present theoretical understanding of the spectacular phenomena observed in experiments and describe new numerical results obtained in…

Disordered Systems and Neural Networks · Physics 2009-11-10 Ludovic Berthier , A. P. Young

The dynamics of structural relaxation in a model polymer glass subject to spatially-homogeneous, time-periodic shear deformation is investigated using molecular dynamics simulations. We study a coarse-grained bead-spring model of short…

Soft Condensed Matter · Physics 2014-01-10 Nikolai V. Priezjev

We consider the long-ranged Ising spin-glass with random couplings decaying as a power-law of the distance, in the region of parameters where the spin-glass phase exists with a positive droplet exponent. For the Metropolis single-spin-flip…

Disordered Systems and Neural Networks · Physics 2014-08-22 Cecile Monthus

The glass transition can simply be viewed as the point at which the viscosity of a structurally disordered liquid reaches 10^{13} Poise [1]. This definition is operational but it sidesteps fundamental controversies about the glass: Is the…

Statistical Mechanics · Physics 2017-05-10 Ludger Santen , Werner Krauth

We present molecular dynamics simulations of a binary Lennard-Jones mixture at temperatures below the kinetic glass transition. The ``mobility'' of a particle is characterized by the amplitude of its fluctuation around its average position.…

Statistical Mechanics · Physics 2009-11-07 Katharina Vollmayr-Lee , Walter Kob , Kurt Binder , Annette Zippelius

In this paper we study metastability in large volumes at low temperatures. We consider both Ising spins subject to Glauber spin-flip dynamics and lattice gas particles subject to Kawasaki hopping dynamics. Let $\b$ denote the inverse…

Probability · Mathematics 2008-06-05 Anton Bovier , Frank den Hollander , Cristian Spitoni

On approaching the glass transition, the microscopic kinetic unit spends increasing time rattling in the cage of the first neighbours whereas its average escape time, the structural relaxation time $\tau_\alpha$, increases from a few…

Soft Condensed Matter · Physics 2019-08-15 A. Ottochian , C. De Michele , D. Leporini

We consider two systems of Ising spins with plaquette interactions. They are simple models of glasses which have dual representations as kinetically constrained systems. These models allow an explicit analysis using the mosaic, or entropic…

Statistical Mechanics · Physics 2007-05-23 Robert L. Jack , Juan. P. Garrahan

We introduce the time glass, a non-periodic analogue of the discrete time crystal that arises in periodically driven dissipative quantum many-body systems. This phase is defined by two key features: (i) spatial long-range order arising from…

Statistical Mechanics · Physics 2026-03-11 Taiki Haga

We investigate the dimensional dependence of dynamical fluctuations related to dynamic heterogeneity in supercooled liquid systems using kinetically constrained models. The $d$-dimensional spin-facilitated East model with embedded probe…

Statistical Mechanics · Physics 2017-09-13 Soree Kim , Dayton G. Thorpe , Juan P. Garrahan , David Chandler , YounJoon Jung

We introduce a lattice model for a classical doped two dimensional antiferromagnet which has no quenched disorder, yet displays slow dynamics similar to those observed in supercooled liquids. We calculate two-time spatial and spin…

Disordered Systems and Neural Networks · Physics 2009-11-10 Malcolm P. Kennett , Claudio Chamon , Leticia F. Cugliandolo

We have considered the dynamical evolution of cellular patterns controlled by a stochastic Glauber process determined by the deviations of local cell topology from that of a crystalline structure. Above a critical temperature evolution is…

Disordered Systems and Neural Networks · Physics 2009-10-31 Tomaso Aste , David Sherrington

Using a general model for the equilibrium dynamics of supercooled liquids, I compute from molecular properties the emergent length and time scales that govern the nonequilibrium relaxation behavior of amorphous ice prepared by rapid…

Statistical Mechanics · Physics 2015-06-18 David T. Limmer

We show that the dynamics of a laser driven Rydberg gas in the limit of strong dephasing is described by a master equation with manifest kinetic constraints. The equilibrium state of the system is uncorrelated but the constraints in the…

Atomic Physics · Physics 2015-06-16 Igor Lesanovsky , Juan P. Garrahan

We analyze the relaxation to equilibrium for kinetically constrained spin models (KCSM) when the initial distribution $\nu$ is different from the reversible one, $\mu$. This setting has been intensively studied in the physics literature to…

Probability · Mathematics 2012-10-04 Nicoletta Cancrini , Fabio Martinelli , Roberto H. Schonmann , Cristina Toninelli
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