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In this letter we present a dynamical study of the structure of metastable states (corresponding to TAP solutions) in a mean-field spin-glass model. After reviewing known results of the statical approach, we use dynamics: starting from an…

凝聚态物理 · 物理学 2009-10-28 A. Barrat , R. Burioni , M. Mézard

Glass is an under-cooled liquid that very slowly relaxes towards the equilibrium crystalline state. Its energy balance is ill understood, since it is widely believed that the glassy state cannot be described thermodynamically. However, the…

统计力学 · 物理学 2009-11-07 Theo M. Nieuwenhuizen

Glass is a liquid that has lost its ability to flow. Why this particular substance undergoes its dramatic slowing down in kinetics while remaining barely distinguishable in structure from the fluid state upon cooling constitutes the central…

软凝聚态物质 · 物理学 2018-05-23 Bo Li , Xiuming Xiao , Shuxia Wang , Weijia Wen , Ziren Wang

The interplay of slow dynamics and thermodynamic features of dense liquids is studied by examinining how the glass transition changes depending on the presence or absence of Lennard-Jones-like attractions. Quite different thermodynamic…

材料科学 · 物理学 2009-11-13 Th. Voigtmann

We introduce a three-dimensional lattice gas model to study the glass transition. In this model the interactions come from the excluded volume and particles have five arms with an asymmetrical shape, which results in geometric frustration…

统计力学 · 物理学 2007-05-23 Anastasio Díaz-Sánchez

We show that a glass transition, signaled by a peak in the specific heat vs. temperature, can occur because a glassy system that shows no signs of aging progresses so slowly through the energy landscape that the time needed to obtain an…

无序系统与神经网络 · 物理学 2007-05-23 Clare C. Yu , Herve M. Carruzzo

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

We construct a mean field theory for the lattice model of a structural glass and solve it using the replica method and one step replica symmetry breaking ansatz; this theory becomes exact in the limit of infinite dimensions. Analyzing…

无序系统与神经网络 · 物理学 2009-11-07 A. V. Lopatin , L. B. Ioffe

Key to resolving the scientific challenge of the glass transition is to understand the origin of the massive increase in viscosity of liquids cooled below their melting temperature (avoiding crystallisation). A number of competing and often…

软凝聚态物质 · 物理学 2018-09-12 C. Patrick Royall , Francesco Turci , Soichi Tatsumi , John Russo , Joshua Robinson

The Thouless, Anderson, Palmer (TAP) approach to thermodynamics of mean field spin-glasses is generalised to dynamics. A method to compute the dynamical TAP equations is developed and applied to the p-spin spherical model. In this context…

无序系统与神经网络 · 物理学 2009-10-31 Giulio Biroli

Dynamics is central to living systems. In the last two decades, experiments have revealed that the dynamics in diverse biological systems - from intracellular cytoplasm to cellular and organismal aggregates - are remarkably similar to that…

软凝聚态物质 · 物理学 2024-03-12 Souvik Sadhukhan , Subhodeep Dey , Smarajit Karmakar , Saroj Kumar Nandi

In a glassy system different degrees of freedom have well-separated characteristic times, and are described by different temperatures. The stationary state is essentially non-equilibrium. A generalized statistical thermodynamics is…

无序系统与神经网络 · 物理学 2007-05-23 A. E. Allahverdyan , Th. M. Nieuwenhuizen

We use event driven simulations to analyze glassy dynamics as a function of density and energy dissipation in a two-dimensional bidisperse granular fluid under stationary conditions. Clear signatures of a glass transition are identified,…

统计力学 · 物理学 2011-10-05 Iraj Gholami , Andrea Fiege , Annette Zippelius

The dynamical glass transition is typically taken to be the temperature at which a glassy liquid is no longer able to equilibrate on experimental timescales. Consequently, the physical properties of these systems just above or below the…

软凝聚态物质 · 物理学 2017-03-08 Samuel S. Schoenholz , Ekin D. Cubuk , Efthimios Kaxiras , Andrea J. Liu

A directed polymer is considered on a flat substrate with randomly located parallel ridges. It prefers to lie inside wide regions between the ridges. When the transversel width $W=\exp(\lambda L^{1/3})$ is exponential in the longitudinal…

无序系统与神经网络 · 物理学 2009-10-30 Th. M. Nieuwenhuizen

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

When a liquid is cooled below its melting temperature, if crystallization is avoided, it forms a glass. This phenomenon, called glass transition, is characterized by a marked increase of viscosity, about 14 orders of magnitude, in a narrow…

无序系统与神经网络 · 物理学 2008-08-23 Simone Capaccioli , Giancarlo Ruocco , Francesco Zamponi

The spherical mean field approximation of a spin-1 model with p-body quenched disordered interaction is investigated. Depending on temperature and chemical potential the system is found in a paramagnetic or in a glassy phase and the…

无序系统与神经网络 · 物理学 2012-03-06 Ulisse Ferrari , Luca Leuzzi

The barriers between metastable states near the glass transition of a random heteropolymer are studied using replicas by describing inhomogeneous states. The instanton solution for a replica space free energy functional is found numerically…

无序系统与神经网络 · 物理学 2008-02-03 Shoji Takada , Peter G. Wolynes

Based on experimental evidences we present a phenomenological description of the thermal glass transition as a dynamical phase transition. Different susceptibilities calculated on the basis of this description are in good qualitative…

无序系统与神经网络 · 物理学 2016-08-16 J. K. Krüger , J. Petersson , J. Baller , M. Henkel