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We analyse a first-order dynamical phase transition that takes place in the Fredrickson--Andersen (FA) model. We construct a two-dimensional spin system whose thermodynamic properties reproduce the dynamical large deviations of the FA model…

统计力学 · 物理学 2022-08-31 Robert L. Jack , Takahiro Nemoto , Vivien Lecomte

We investigate the dynamics of kinetically constrained models of glass formers by analysing the statistics of trajectories of the dynamics, or histories, using large deviation function methods. We show that, in general, these models exhibit…

统计力学 · 物理学 2009-01-21 J. P. Garrahan , R. L. Jack , V. Lecomte , E. Pitard , K. van Duijvendijk , F. van Wijland

We show that the dynamics of kinetically constrained models of glass formers takes place at a first-order coexistence line between active and inactive dynamical phases. We prove this by computing the large-deviation functions of suitable…

统计力学 · 物理学 2009-11-13 J. P. Garrahan , R. L. Jack , V. Lecomte , E. Pitard , K. van Duijvendijk , F. van Wijland

We show how dynamical heterogeneities in glass forming systems emerge as a consequence of the existence of dynamical constraints, and we offer an interpretation of the glass transition as an entropy crisis in trajectory space (space-time)…

统计力学 · 物理学 2009-11-07 Juan P. Garrahan , David Chandler

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…

无序系统与神经网络 · 物理学 2024-10-24 Gianmarco Perrupato , Tommaso Rizzo

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…

统计力学 · 物理学 2018-09-12 Carlos Pérez-Espigares , Igor Lesanovsky , Juan P. Garrahan , Ricardo Gutiérrez

We study the local dynamical fluctuations in glass-forming models of particles embedded in $d$-dimensional space, in the mean-field limit of $d\to\infty$. Our analytical calculation reveals that single-particle observables, such as squared…

无序系统与神经网络 · 物理学 2022-04-27 Giulio Biroli , Patrick Charbonneau , Giampaolo Folena , Yi Hu , Francesco Zamponi

One of the most controversial hypotheses for explaining the heterogeneous dynamics of glasses postulates the temporary coexistence of two phases characterized by a high and by a low diffusivity. In this scenario, two phases with different…

软凝聚态物质 · 物理学 2015-07-16 R. Pastore , A. Coniglio , M. Pica Ciamarra

Among the key insights into the glass transition has been the identification of a non-equilibrium phase transition in trajectory space which reveals phase coexistence between the normal supercooled liquid (active phase) and a glassy state…

软凝聚态物质 · 物理学 2017-07-19 Rattachai Pinchaipat , Matteo Campo , Francesco Turci , James Hallett , Thomas Speck , C. Patrick Royall

The dynamics of glass formation in monatomic and binary liquids are studied numerically using a microscopic field theory for the evolution of the time-averaged atomic number density. A stochastic framework combining phase field crystal free…

材料科学 · 物理学 2015-05-27 Joel Berry , Martin Grant

We consider the probability distribution for fluctuations in dynamical action and similar quantities related to dynamic heterogeneity. We argue that the so-called "glass transition" is a manifestation of low action tails in these…

统计力学 · 物理学 2009-11-11 Mauro Merolle , Juan P. Garrahan , David Chandler

We perform extensive numerical simulations of a paradigmatic model glass former, the hard-sphere fluid with 10% polydispersity. We sample from the ensemble of trajectories with fixed observation time, whereby single trajectories are…

统计力学 · 物理学 2020-01-28 Matteo Campo , Thomas Speck

Generic glass formers exhibit at least two characteristic changes in their relaxation behavior, first to an Arrhenius-type relaxation at some characteristic temperature, and then at a lower characteristic temperature to a super-Arrhenius…

无序系统与神经网络 · 物理学 2012-03-08 H. George E. Hentschel , Smarajit Karmakar , Itamar Procaccia , Jacques Zylberg

We review recent developments in structural-dynamical phase transitions in trajectory space. An open question is how the dynamic facilitation theory of the glass transition may be reconciled with thermodynamic theories that posit a…

统计力学 · 物理学 2020-08-04 C. Patrick Royall , Francesco Turci , Thomas Speck

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…

统计力学 · 物理学 2017-05-10 Ludger Santen , Werner Krauth

We study large deviations of the dynamical activity in the random orthogonal model (ROM). This is a fully connected spin-glass model with one-step replica symmetry breaking behaviour, consistent with the random first-order transition…

统计力学 · 物理学 2010-04-20 Robert L. Jack , Juan P. Garrahan

The East model has a dynamical phase transition between an active (fluid) and inactive (glass) state. We show that this phase transition generalizes to "softened" systems where constraint violations are allowed with small but finite…

统计力学 · 物理学 2015-06-11 Yael S. Elmatad , Robert L. Jack

We find that a Lennard-Jones mixture displays a dynamic phase transition between an active regime and an inactive one. By means of molecular dynamics simulations and of a finite-size study, we show that the space time dynamics in the…

统计力学 · 物理学 2012-01-06 Estelle Pitard , Vivien Lecomte , Frédéric Van Wijland

We introduce a new and robust approach for characterizing spatially and temporally heterogeneous behavior within a system based on the evolution of dynamic fuctuations once averaged over different space lengths and time scales. We apply it…

无序系统与神经网络 · 物理学 2018-07-04 J. Ariel Rodriguez Fris , Eric R. Weeks , Francesco Sciortino , Gustavo A. Appignanesi

We review a theoretical perspective of the dynamics of glass forming liquids and the glass transition. It is a perspective we have developed with our collaborators during this decade. It is based upon the structure of trajectory space. This…

软凝聚态物质 · 物理学 2010-04-20 David Chandler , Juan P. Garrahan
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