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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

We study the quantum version of a lattice model whose classical counterpart captures the physics of structural glasses. We discuss the role of quantum fluctuations in such systems and in particular their interplay with the amorphous order…

Disordered Systems and Neural Networks · Physics 2015-03-17 Laura Foini , Guilhem Semerjian , Francesco Zamponi

We analyze the density and size dependence of the relaxation time for kinetically constrained spin models (KCSM) intensively studied in the physical literature as simple models sharing some of the features of a glass transition. KCSM are…

Probability · Mathematics 2007-05-23 Nicoletta Cancrini , Fabio Martinelli , Cyril Roberto , Cristina Toninelli

In this paper we consider in detail the properties of dynamical heterogeneity in lattice glass models (LGMs). LGMs are lattice models whose dynamical rules are based on thermodynamic, as opposed to purely kinetic, considerations. We devise…

Statistical Mechanics · Physics 2012-10-02 Richard K. Darst , David R. Reichman , Giulio Biroli

Kinetically constrained spin systems play an important role in understanding key properties of the dynamics of slowly relaxing materials, such as glasses. So far kinetic constraints have been introduced in idealised models aiming to capture…

Statistical Mechanics · Physics 2016-11-09 B. Everest , M. Marcuzzi , J. P. Garrahan , I. Lesanovsky

A simple, non-disordered spin model has been studied in an effort to understand the origin of the precipitous slowing down of dynamics observed in supercooled liquids approaching the glass transition. A combination of Monte Carlo…

Statistical Mechanics · Physics 2009-11-07 Hui Yin , Bulbul Chakraborty

When classical systems fail to explore their entire configurational space, intriguing macroscopic phenomena like aging and glass formation may emerge. Also closed quanto-mechanical systems may stop wandering freely around the whole Hilbert…

Statistical Mechanics · Physics 2012-02-07 Giuseppe Carleo , Federico Becca , Marco Schiró , Michele Fabrizio

Glasses are solid materials whose constituent atoms are arranged in a disordered manner. The transition from a liquid to a glass remains one of the most poorly understood phenomena in condensed matter physics, and still no fully microscopic…

Statistical Mechanics · Physics 2015-11-12 Liesbeth M. C. Janssen , David R. Reichman

The Adam-Gibbs view of the glass transition relates the relaxation time to the configurational entropy, which goes continuously to zero at the so-called Kauzmann temperature. We examine this scenario in the context of a dimer model with an…

Statistical Mechanics · Physics 2007-05-23 Dibyendu Das , Greg Farrell , Jane' Kondev , Bulbul Chakraborty

Amorphous materials exhibit structural heterogeneities that relax only on long timescales. Using machine learning techniques, we construct a Markov state model (MSM) for model glass formers that coarse-grains the dynamics into a…

Soft Condensed Matter · Physics 2022-08-31 Siavash Soltani , Chad W. Sinclair , Joerg Rottler

Kinetic lattice-gas models display fragile glass behavior, in spite of their trivial Gibbs-Boltzmann measure. This suggests that the nature of glass transition might be, at least in some cases, understood in purely kinetic or dynamical…

Statistical Mechanics · Physics 2009-10-31 Mauro Sellitto

Glassy dynamics in a confluent monolayer is indispensable in morphogenesis, wound healing, bronchial asthma, and many others; a detailed theoretical framework for such a system is, therefore, important. Vertex model (VM) simulations have…

Soft Condensed Matter · Physics 2021-06-16 Souvik Sadhukhan , Saroj Kumar Nandi

We discuss the need for discretization to evaluate the configurational entropy in a general model. We also discuss the prescription using restricted partition function formalism to study the stationary limit of metastable states. We…

Statistical Mechanics · Physics 2009-11-10 F. Semerianov , P. D. Gujrati

Using the mapping of the Fokker-Planck description of classical stochastic dynamics onto a quantum Hamiltonian, we argue that a dynamical glass transition in the former must have a precise definition in terms of a quantum phase transition…

Statistical Mechanics · Physics 2010-08-10 Claudio Castelnovo , Claudio Chamon , David Sherrington

The physics of highly excited Rydberg atoms is governed by blockade or exclusion interactions that hinder the excitation of atoms in the proximity of a previously excited one. This leads to cooperative effects and a relaxation dynamics…

Statistical Mechanics · Physics 2018-09-12 Carlos Pérez-Espigares , Igor Lesanovsky , Juan P. Garrahan , Ricardo Gutiérrez

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

When a liquid is cooled below its melting temperature, if crystallization is avoided, it forms a glass. This phenomenon, called glass transition, is characterized by a marked increase of viscosity, about 14 orders of magnitude, in a narrow…

Disordered Systems and Neural Networks · Physics 2008-08-23 Simone Capaccioli , Giancarlo Ruocco , Francesco Zamponi

Using the non-interacting Anderson tight-binding model on the Bethe lattice as a toy model for the many-body quantum dynamics, we propose a novel and transparent theoretical explanation of the anomalously slow dynamics that emerges in the…

Disordered Systems and Neural Networks · Physics 2020-09-02 Giulio Biroli , Marco Tarzia

One of the general mechanisms that give rise to the slow cooperative relaxation characteristic of classical glasses is the presence of kinetic constraints in the dynamics. Here we show that dynamical constraints can similarly lead to slow…

Quantum Physics · Physics 2018-07-31 Zhihao Lan , Merlijn van Horssen , Stephen Powell , Juan P. Garrahan

Dynamic facilitation theory assumes short-ranged dynamic constraints to be the essential feature of supercooled liquids and draws much of its conclusions from the study of kinetically constrained models. While deceptively simple, these…

Materials Science · Physics 2012-06-12 Thomas Speck , David Chandler