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Related papers: Dynamical Heterogeneity in Lattice Glass Models

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Various lattice gas automata have been proposed in the past decades to simulate physics and address a host of problems on collective dynamics arising in diverse fields. In this work, we employ the lattice gas model defined on the sphere to…

Statistical Mechanics · Physics 2017-12-29 Zhenwei Yao

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

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

We study a lattice model of attractive colloids. It is exactly solvable on sparse random graphs. As the pressure and temperature are varied it reproduces many characteristic phenomena of liquids, glasses and colloidal systems such as ideal…

Soft Condensed Matter · Physics 2008-10-15 Florent Krzakala , Marco Tarzia , Lenka Zdeborová

Kinetically constrained lattice models of glasses introduced by Kob and Andersen (KA) are analyzed. It is proved that only two behaviors are possible on hypercubic lattices: either ergodicity at all densities or trivial non-ergodicity,…

Statistical Mechanics · Physics 2009-11-10 C. Toninelli , G. Biroli , D. S. Fisher

Kinetically constrained models (KCMs) have been used to study and understand the origin of glassy dynamics. Despite having trivial thermodynamic properties, their dynamics slows down dramatically at low temperatures while displaying…

Statistical Mechanics · Physics 2011-07-01 Thomas Speck , Juan P. Garrahan

We present a lattice-based numerical method to describe the non equilibrium behavior of a simple fluid under non-uniform spatial conditions. The evolution equation for the one-particle phase-space distribution function is derived starting…

Statistical Mechanics · Physics 2009-11-13 S. Melchionna , U. Marini Bettolo Marconi

Recent work has demonstrated the strong qualitative differences between the dynamics near a glass transition driven by short-ranged repulsion and one governed by short-ranged attraction. Here, we study in detail the behavior of non-linear,…

Statistical Mechanics · Physics 2010-04-16 P. Charbonneau , D. R. Reichman

We study dynamic heterogeneities in a model glass-former whose overlap with a reference configuration is constrained to a fixed value. The system phase-separates into regions of small and large overlap, so that dynamical correlations remain…

Disordered Systems and Neural Networks · Physics 2012-07-19 C. Cammarota , A. Cavagna , I. Giardina , G. Gradenigo , T. S. Grigera , G. Parisi , P. Verrocchio

Recent advances in computational glass physics enable the study of computer glasses featuring a very wide range of mechanical and kinetic stabilities. The current literature, however, lacks a comprehensive data set against which different…

Soft Condensed Matter · Physics 2019-09-05 Edan Lerner

We investigate the aging behavior of lattice-gas models with constrained dynamics in which particle exchange with a reservoir is allowed. Such models provide a particularly simple interpretation of aging phenomena as a slow approach to…

Statistical Mechanics · Physics 2009-10-30 Jorge Kurchan , Luca Peliti , Mauro Sellitto

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

We compare the slow dynamics of irreversible gels, colloidal gels, glasses and spin glasses by analyzing the behavior of the so called non-linear dynamical susceptibility, a quantity usually introduced to quantitatively characterize the…

Soft Condensed Matter · Physics 2015-06-25 A. Coniglio , T. Abete , A. de Candia , E. Del Gado , A. Fierro

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

Non-Gaussian displacement distributions are universal predictors of dynamic heterogeneity in slowly varying environments. Here, we explore heterogeneous dynamics in supercooled liquid using molecular dynamics simulations and show the…

Soft Condensed Matter · Physics 2023-08-29 Vinay Vaibhav , Suman Dutta

Many systems, including polymers and molecular liquids, when adequately cooled and/or compressed, solidify into a disordered solid, i.e., a glass. The~transition is not abrupt, featuring progressive decrease of the microscopic mobility and…

Soft Condensed Matter · Physics 2019-11-19 Francesco Puosi , Antonio Tripodo , Dino Leporini

Using molecular dynamics simulations, we study the slow dynamics of supercooled liquids confined in a random matrix of immobile obstacles. We study the dynamical crossover from glass-like to Lorentz-gas-like behavior in terms of the density…

Soft Condensed Matter · Physics 2011-05-30 Kang Kim , Kunimasa Miyazaki , Shinji Saito

We examine the phenomenon of dynamical heterogeneity in computer simulations of an equilibrium, glass-forming liquid. We describe several approaches to quantify the spatial correlation of single-particle motion, and show that spatial…

Soft Condensed Matter · Physics 2009-09-25 Sharon C. Glotzer , Claudio Donati

We report an extensive and systematic investigation of the multi-point and multi-time correlation functions to reveal the spatio-temporal structures of dynamic heterogeneities in glass-forming liquids. Molecular dynamics simulations are…

Soft Condensed Matter · Physics 2013-01-04 Kang Kim , Shinji Saito

Dynamical heterogeneities -- strong fluctuations near the glass transition -- are believed to be crucial to explain much of the glass transition phenomenology. One possible hypothesis for their origin is that they emerge from soft…

Soft Condensed Matter · Physics 2012-01-10 Karina E. Avila , Horacio E. Castillo , Azita Parsaeian