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A class of models with self-generated disorder and controlled frustration is studied. Between the trivial case, where frustration is not present at all, and the limit case, where frustration is present over every length scale, a region with…

无序系统与神经网络 · 物理学 2009-11-10 Annalisa Fierro

We provide an overview of the different types of computational techniques developed over the years to study supercooled liquids, glassy materials and the physics of the glass transition. We organise these numerical strategies into four…

统计力学 · 物理学 2023-04-25 Jean-Louis Barrat , Ludovic Berthier

In order to study the stochastic Markov processes conditioned on a specific value of a time-integrated observable, the concept of ensembles of trajectories has been recently used extensively. In this paper, we consider a generic…

统计力学 · 物理学 2019-02-15 Sara Kaviani , Farhad H. Jafarpour

The following properties are in the present literature associated with the behavior of super-cooled glass-forming liquids: faster than exponential growth of the relaxation time, dynamical heterogeneities, growing point-to-set correlation…

统计力学 · 物理学 2011-01-25 Florent Krzakala , Lenka Zdeborová

Melt supercooling leads to glass formation. Liquid-to-liquid phase transitions are observed depending on thermal paths. Viscosity, density and surface tension thermal dependences measured at heating and subsequent cooling show hysteresis…

材料科学 · 物理学 2016-12-21 Robert F. Tournier

Recent theoretical advances predict the existence, deep into the glass phase, of a novel phase transition, the so-called Gardner transition. This transition is associated with the emergence of a complex free energy landscape composed of…

无序系统与神经网络 · 物理学 2015-07-23 Patrick Charbonneau , Yuliang Jin , Giorgio Parisi , Corrado Rainone , Beatriz Seoane , Francesco Zamponi

We propose a scenario for the glass transition based on the cooperative nature of nucleation processes and entropic effects. The main point is the relation between the off-equilibrium energy dissipation and nucleation processes in…

软凝聚态物质 · 物理学 2009-11-07 A. Crisanti , F. Ritort

We propose a new class of phenomenological models for dynamic glass transitions. The system consists of an ensemble of mesoscopic regions to which local energies are allocated. At each time step, a region is randomly chosen and a new local…

无序系统与神经网络 · 物理学 2009-11-11 Ivan Junier

By making use of the Langevin dynamics and its generating functional (GF) formulation the influence of the long-range nature of the interaction on the tendency of the glass formation is systematically investigated. In doing so two types of…

统计力学 · 物理学 2009-10-31 V. G. Rostiashvili , T. A. Vilgis

The analytical model of a glass-forming system is formulated within the formalism analogous to gauge theory constructions in quantum field theory. This work explores the scope of the proposed approach and investigates the equilibrium…

统计力学 · 物理学 2025-07-15 Son L. D. , Vasin M. G

We present a model of spheres moving in a high-dimensional compact space. We relate it to a mixed matrix model with a $O(N)$ invariant model plus a $P(N)$ invariant perturbation. We then study the low pressure regime by performing a…

凝聚态物理 · 物理学 2009-10-28 Leticia F. Cugliandolo , J. Kurchan , Remi Monasson , Giorgio Parisi

This perspective article reviews arguments that glass-forming liquids are different from those of standard liquid-state theory, which typically have a viscosity in the mPa$\cdot$s range and relaxation times of order picoseconds. These…

软凝聚态物质 · 物理学 2024-02-13 Jeppe C. Dyre

A theory for the non-local stress in liquids captures the crossover from viscous to elastic correlations upon supercooling. It explains the emergence of long-ranged stress fields in glass which originate from the coupling of shear stress to…

软凝聚态物质 · 物理学 2022-05-03 Annette Zippelius , Matthias Fuchs

The synergetic approach proposed here is based on characteristic instability of chemical bonding in the form of the bond wave considered as the spatiotemporal correlation between the elementary acts of bond exchange. In frames of the model,…

材料科学 · 物理学 2024-07-02 Elena A. Chechetkina

This theory combines a thermodynamic approach with a dynamic one in order to describe glass transition. Glass transition is regarded as an inaccessible second order phase transition, which is interrupted because of premature critical…

统计力学 · 物理学 2015-06-04 Mikhail Vasin

As in the preceding paper we aim at identifying the effective theory that describes the fluctuations of the local overlap with an equilibrium reference configuration close to a putative thermodynamic glass transition. We focus here on the…

统计力学 · 物理学 2018-11-21 G. Biroli , C. Cammarota , G. Tarjus , M. Tarzia

Often the current mode coupling theory (MCT) of glass transitions is compared with mean field theories. We explore this possible correspondence. After showing a simple-minded derivation of MCT with some difficulties we give a concise…

统计力学 · 物理学 2009-11-07 Kyozi Kawasaki , Bongsoo Kim

We investigate the calorimetric liquid-glass transition by performing simulations of a binary Lennard-Jones mixture in one through four dimensions. Starting at a high temperature, the systems are cooled to T=0 and heated back to the ergodic…

无序系统与神经网络 · 物理学 2009-01-01 Ralf Brüning , Denis A. St-Onge , Steve Patterson , Walter Kob

Truly stable metastable states are an artifact of the mean-field approximation or the zero temperature limit. If such appealing concepts in glass theory as configurational entropy are to have a meaning beyond these approximations, one needs…

统计力学 · 物理学 2016-08-31 Giulio Biroli , Jorge Kurchan

Whether the glass transition is caused by an underlying singularity or is a purely kinetic phenomenon is a significant outstanding question. Studying an atomistic glass former, we introduce a sampling method to access temperatures…

统计力学 · 物理学 2017-09-20 Thomas Speck , C. Patrick Royall , Stephen R. Williams