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For any classical statistical-mechanics model with a discrete state space, and endowed with a dynamics satisfying detailed balance, it is possible to generalize the Rokhsar-Kivelson point for the quantum dimer model. That is, a quantum…

Strongly Correlated Electrons · Physics 2009-11-10 Christopher L. Henley

In this paper the phenomenon of dynamic heterogeneity in supercooled liquid systems is considered in terms of the recently proposed gauge theory of glass transition. The physical interpretation of the dynamic scaling is considered. It is…

Statistical Mechanics · Physics 2015-06-23 Mikhail Vasin

In general, classical fully-connected systems are known to undergo violent relaxation. This phenomenon refers to the relaxation of observables to stationary, non-thermal, values on a finite timescale, despite their long-time dynamics being…

Quantum Physics · Physics 2025-06-17 Guido Giachetti , Nicolò Defenu

The understanding of thermodynamic glass transition has been hindered by the lack of proper models beyond mean-field theories. Here, we propose a three-dimensional lattice glass model on a simple cubic lattice that exhibits the typical…

Statistical Mechanics · Physics 2020-08-07 Yoshihiko Nishikawa , Koji Hukushima

The structural arrest of a polymeric suspension might be driven by an increase of the cross--linker concentration, that drives the gel transition, as well as by an increase of the polymer density, that induces a glass transition. These…

Statistical Mechanics · Physics 2014-06-20 Nagi Khalil , Antonio Coniglio , Antonio de Candia , Annalisa Fierro , Massimo Pica Ciamarra

Quantum thermalization occurs in a broad class of systems from elementary particles to complex materials. Out-of-equilibrium quantum systems have long been understood to either thermalize or retain memory of their initial states, but not…

Quantum Physics · Physics 2025-02-20 Luheng Zhao , Prithvi Raj Datla , Weikun Tian , Mohammad Mujahid Aliyu , Huanqian Loh

We study the slow quench dynamics of a one-dimensional nonequilibrium lattice gas model which exhibits a phase transition in the stationary state between a fluid phase with homogeneously distributed particles and a jammed phase with a…

Statistical Mechanics · Physics 2017-09-11 Priyanka , Kavita Jain

We have simulated energy relaxation and equilibrium dynamics in Coulomb Glasses using the random energy lattice model. We show that in a temperature range where the Coulomb Gap is already well developed, (T=0.03-0.1) the system still…

Other Condensed Matter · Physics 2009-11-13 M. Kirkengen , J. Bergli

We establish a setting - atoms in optical superlattices with period 2 - in which one can experimentally probe signatures of the process of local relaxation and apparent thermalization in non-equilibrium dynamics without the need of…

Statistical Mechanics · Physics 2009-11-13 M. Cramer , A. Flesch , I. P. McCulloch , U. Schollwoeck , J. Eisert

A quantum mechanical treatment of an asymmetric double-well potential (DWP) interacting with a heat bath is presented for circumstances where the contribution of higher vibrational levels to the relaxation dynamics cannot be excluded from…

Condensed Matter · Physics 2009-10-28 P. Neu , A. Heuer

We introduce a family of local models of dynamics based on ``word problems'' from computer science and group theory, for which we can place rigorous lower bounds on relaxation timescales. These models can be regarded either as random…

Quantum Physics · Physics 2024-08-05 Shankar Balasubramanian , Sarang Gopalakrishnan , Alexey Khudorozhkov , Ethan Lake

The most puzzling aspect of the glass transition observed in laboratory is an apparent decoupling of dynamics from structure. In this paper we recount the implication of various theories of glass transition for the static correlation length…

Disordered Systems and Neural Networks · Physics 2017-02-08 S. Davatolhagh

The dramatic slowdown of dynamics in supercooled liquids approaching the glass transition remains one of the central unresolved problems in condensed matter physics. We review approaches that attribute this slowdown to growing thermodynamic…

Soft Condensed Matter · Physics 2026-03-06 Massimo Pica Ciamarra , Jeppe C. Dyre , Edan Lerner , Matthieu Wyart

Using a distinguishable-particle lattice model based on void-induced dynamics, we successfully reproduce the well-known linear relation between heat capacity and temperature at very low temperatures. The heat capacity is dominated by…

Soft Condensed Matter · Physics 2022-12-14 Xin-Yuan Gao , Hai-Yao Deng , Chun-Shing Lee , J. Q. You , Chi-Hang Lam

Relaxation dynamics in reversible catalytic reaction networks is studied, revealing two salient behaviors that are reminiscent of glassy behavior: slow relaxation with log(time) dependence of the correlation function, and emergence of a few…

Disordered Systems and Neural Networks · Physics 2015-05-13 Akinori Awazu , Kunihiko Kaneko

Dense Rydberg gases are out-of-equilibrium systems where strong density-density interactions give rise to effective kinetic constraints. They cause dynamic arrest associated with highly-constrained many-body configurations, leading to slow…

Statistical Mechanics · Physics 2019-07-15 Ricardo Gutiérrez , Juan P. Garrahan , Igor Lesanovsky

We use computer simulations to study the cooling rate dependence of the stability and energetics of model glasses created at constant pressure conditions and compare the results with glasses formed at constant volume conditions. To examine…

Soft Condensed Matter · Physics 2016-12-21 Hannah Staley , Elijah Flenner , Grzegorz Szamel

Slow relaxation and heterogeneous dynamics are characteristic features of glasses. The presence of glassy dynamics in nonequilibrium systems, such as active matter, is of significant interest due to its implications for living systems and…

Soft Condensed Matter · Physics 2024-06-27 Antina Ghosh , Sayan Maity , Vijayakumar Chikkadi

We develop a theory in order to describe the effect of relaxation in a condensed medium upon the quantum decay of a metastable liquid near the spinodal at low temperatures. We find that both the regime and the rate of quantum nucleation…

Statistical Mechanics · Physics 2009-11-10 S. N. Burmistrov , L. B. Dubovskii , Y. Okuda

When we lower the temperature of a liquid, at some point we meet a first order phase transition to the crystal. Yet, under certain conditions it is possible to keep the system in its metastable phase and to avoid crystallization. In this…

Statistical Mechanics · Physics 2009-05-12 Andrea Cavagna