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We consider the Mode Coupling Theory (MCT) of Glass transition for a Binary fluid. The Equations of Nonlinear Fluctuating Hydrodynamics are obtained with a proper choice of the slow variables corresponding to the conservation laws. The…

统计力学 · 物理学 2009-11-07 Upendra Harbola , Shankar P. Das

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

Using mean-field approximations, this paper identifies a phase transition in a three-dimensional Electron Glass lattice model. The density of states of the eigenvalue distribution of the inverse susceptibility matrix is used to identify the…

无序系统与神经网络 · 物理学 2023-08-02 Preeti Bhandari , Vikas Malik

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

The swap Monte Carlo algorithm combines the translational motion with the exchange of particle species, and is unprecedentedly efficient for some models of glass former. In order to clarify the physics underlying this acceleration, we study…

无序系统与神经网络 · 物理学 2017-12-29 Harukuni Ikeda , Francesco Zamponi , Atsushi Ikeda

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

The overlap, or similarity, between liquid configurations is at the core of the mean-field description of the glass transition, and remains a useful concept when studying three-dimensional glass-forming liquids. In liquids, however, the…

统计力学 · 物理学 2021-01-05 Benjamin Guiselin , Gilles Tarjus , Ludovic Berthier

We introduce an approach to derive an effective scalar field theory for the glass transition; the fluctuating field is the overlap between equilibrium configurations. We apply it to the case of constrained liquids for which the introduction…

无序系统与神经网络 · 物理学 2014-05-07 Giulio Biroli , Chiara Cammarota , Gilles Tarjus , Marco Tarzia

We consider a class of spin systems on $\Z^d$ with vector valued spins $(\bS_x)$ that interact via the pair-potentials $J_{x,y} \bS_x\cdot\bS_y$. The interactions are generally spread-out in the sense that the $J_{x,y}$'s exhibit either…

数学物理 · 物理学 2007-05-23 Marek Biskup , Lincoln Chayes , Nicholas Crawford

We discuss the analytical solution through the cavity method of a mean field model that displays at the same time an ideal glass transition and a set of jamming points. We establish the equations describing this system, and we discuss some…

无序系统与神经网络 · 物理学 2011-03-07 Marc Mezard , Giorgio Parisi , Marco Tarzia , Francesco Zamponi

We study the dynamics of a glassy model with infinite range interactions externally driven by an oscillatory force. We find a well-defined transition in the (Temperature-Amplitude-Frequency) phase diagram between (i) a `glassy' state…

统计力学 · 物理学 2009-10-31 Ludovic Berthier , Leticia F. Cugliandolo , Jose Luis Iguain

We present a many body approach for non-equilibrium behavior and self-generated glassiness in strongly correlated quantum systems. It combines the dynamical mean field theory of equilibrium systems with the replica theory for classical…

无序系统与神经网络 · 物理学 2009-11-07 Harry Westfahl , Joerg Schmalian , Peter G Wolynes

In ref. cond-mat/0005372, Sastry studies by numerical simulations the phase diagram of a simple fragile glass-forming liquid, presenting very interesting and clear results. We apply to this system, at various density values, the analytic…

无序系统与神经网络 · 物理学 2007-05-23 Barbara Coluzzi , Giorgio Parisi , Paolo Verrocchio

We consider thermodynamic and dynamic phase transitions in plaquette spin models of glasses. The thermodynamic transitions involve coupled (annealed) replicas of the model. We map these coupled-replica systems to a single replica in a…

统计力学 · 物理学 2015-08-19 Robert M. Turner , Robert L. Jack , Juan P. Garrahan

We use probabilistic methods to study properties of mean-field models, arising as large-scale limits of certain particle systems with mean-field interaction. The underlying particle system is such that $n$ particles move forward on the real…

概率论 · 数学 2022-04-19 Alexander Stolyar

We discuss the general link between mode-coupling like equations (which serve as the basis of some recent theories of supercooled liquids) and the dynamical equations governing mean-field spin-glass models, or the dynamics of a particle in…

凝聚态物理 · 物理学 2015-06-25 Jean-Philippe Bouchaud , Leticia Cugliandolo , Jorge Kurchan , Marc Mézard

We develop a microscopic theory to analyze the phase behaviour and compute correlation functions of dense assemblies of soft repulsive particles both at finite temperature, as in colloidal materials, and at vanishing temperature, a…

无序系统与神经网络 · 物理学 2011-11-09 Ludovic Berthier , Hugo Jacquin , Francesco Zamponi

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…

无序系统与神经网络 · 物理学 2015-03-17 Laura Foini , Guilhem Semerjian , Francesco Zamponi

In many mean-field glassy systems, the low-temperature Gibbs measure is dominated by exponentially many metastable states. We analyze the evolution of the metastable states as temperature changes adiabatically in the solvable case of the…

无序系统与神经网络 · 物理学 2012-07-09 YiFan Sun , Andrea Crisanti , Florent Krzakala , Luca Leuzzi , Lenka Zdeborová

Simple statistical agglomeration models can provide a universal link between the local structure and the glass transition temperature in network glasses. We first stress the physical features of the models and the hypothesis made, and then…

材料科学 · 物理学 2009-10-31 Matthieu Micoulaut