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相关论文: Glass glass transition and new dynamical singulari…

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This lecture deals with glassy dynamics and aging in disordered systems. Special emphasis is put on dynamic mean field theory. In the first part I present some of the systems of interest, in particular spin-glasses, supercooled liquids and…

无序系统与神经网络 · 物理学 2007-05-23 Heinz Horner

We analyze the properties of the energy landscape of {\it finite-size} fully connected $p$-spin-like models. In the thermodynamic limit the high temperature phase is described by the schematic Mode Coupling Theory of super-cooled liquids.…

统计力学 · 物理学 2009-10-31 A. Crisanti , F. Ritort

In this chapter, a study of the glass transitions in colloidal systems is presented, in connection with gelation, mainly from theoretical and simulation results. Mode Coupling Theory, which anticipated the existence of attraction driven…

软凝聚态物质 · 物理学 2008-10-06 Antonio M. Puertas , Matthias Fuchs

We analyze the properties of the energy landscape of {\it finite-size} fully connected p-spin-like models whose high temperature phase is described, in the thermodynamic limit, by the schematic Mode Coupling Theory of super-cooled liquids.…

无序系统与神经网络 · 物理学 2009-10-31 A. Crisanti , F. Ritort

The p-spin spin-glass model has been studied extensively at mean-field level because of the insights which it provides into the mode-coupling approach to structural glasses and the nature of the glass transition. We demonstrate explicitly…

无序系统与神经网络 · 物理学 2009-11-07 M. A. Moore , Barbara Drossel

Within the framework of the mode-coupling theory of super-cooled liquids, we investigate new phenomena in colloidal systems on approach to their glass transitions. When the inter-particle potential contains an attractive part, besides the…

软凝聚态物质 · 物理学 2009-11-07 K. A. Dawson , G. Foffi , F. Sciortino , P. Tartaglia , E. Zaccarelli

Motivated by the mean field prediction of a Gardner phase transition between a "normal glass" and a "marginally stable glass", we investigate the off-equilibrium dynamics of three-dimensional polydisperse hard spheres, used as a model for…

软凝聚态物质 · 物理学 2018-06-28 Beatriz Seoane , Francesco Zamponi

As shown by early studies on mean-field models of the glass transition, the geometrical features of the energy landscape provide fundamental information on the dynamical transition at the Mode-Coupling temperature $T_d$. We show that active…

统计力学 · 物理学 2021-11-10 Giacomo Gradenigo , Matteo Paoluzzi

Glass-like materials are nonequilibrium systems where the relaxation time may exceed reasonable time scales of observations. In the present paper a dynamic percolation model is introduced in order to explain the principal properties of…

凝聚态物理 · 物理学 2007-05-23 A. Vazquez , O. Sotolongo-Costa

Pinning particles at random in supercooled liquids is a promising route to make substantial progress on the glass transition problem. Here we develop a mean-field theory by studying the equilibrium and non-equilibrium dynamics of the…

无序系统与神经网络 · 物理学 2012-12-18 Chiara Cammarota , Giulio Biroli

In this paper we study the critical properties of a finite dimensional generalization of the p-spin model. We find evidence that in dimension three, contrary to its mean field limit, the glass transition is associated to a diverging…

无序系统与神经网络 · 物理学 2009-10-31 Silvio Franz , Giorgio Parisi

We study -- using molecular dynamics simulations -- the temperature dependence of the dynamics in a dense short-ranged attractive colloidal glass to find evidence of the kinetic glass-glass transition predicted by the ideal Mode Coupling…

无序系统与神经网络 · 物理学 2009-11-10 Emanuela Zaccarelli , Giuseppe Foffi , Francesco Sciortino , Piero Tartaglia

For the dynamical glassy transition in the $p$-spin mean field spin glass model a thermodynamic description is given. The often considered marginal states are not the relevant ones for this purpose. This leads to consider a cooling…

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

Critical slowing down dynamics of supercooled glass-forming liquids is usually understood at the mean-field level in the framework of Mode Coupling Theory, providing a two-time relaxation scenario and power-law behaviors of the time…

无序系统与神经网络 · 物理学 2013-01-30 Ulisse Ferrari , Luca Leuzzi , Giorgio Parisi , Tommaso Rizzo

We introduce a simple two-dimensional spin model with short-range interactions which shows glassy behavior despite a Hamiltonian which is completely homogeneous and possesses no randomness. We solve exactly for both the static partition…

统计力学 · 物理学 2009-10-30 M. E. J. Newman , Cristopher Moore

Recent work has suggested the existence of glassy behavior in a ferromagnetic model with a four-spin interaction. Motivated by these findings, we have studied the dynamics of this model using Monte Carlo simulations with particular…

统计力学 · 物理学 2009-10-31 Michael R. Swift , Hemant Bokil , Rui D. M. Travasso , Alan J. Bray

We study the simplest mode-coupling equation which describes the time correlation function of the spherical p-spin glass model. We formulate a systematic perturbation theory near the mode-coupling transition point by introducing multiple…

统计力学 · 物理学 2015-05-13 Mami Iwata , Shin-ichi Sasa

The transition from a liquid to a glass in colloidal suspensions of particles interacting through a hard core plus an attractive square-well potential is studied within the mode-coupling-theory framework. When the width of the attractive…

软凝聚态物质 · 物理学 2007-05-23 K. Dawson , G. Foffi , M. Fuchs , W. Gotze , F. Sciortino , M. Sperl , P. Tartaglia , Th. Voigtmann , E. Zaccarelli

A model glass with fast and slow processes is studied. The statics is simple and the facilitated slow dynamics is exactly solvable. The main features of a fragile glass take place: Kauzmann transition, Vogel-Fulcher law, Adam-Gibbs relation…

统计力学 · 物理学 2009-11-07 L. Leuzzi , Th. M Nieuwenhuizen

We present the detailed analysis of the spherical s+p spin glass model with two competing interactions: among p spins and among s spins. The most interesting case is the 2+p model with p > 3 for which a very rich phase diagram occurs,…

统计力学 · 物理学 2009-11-11 Andrea Crisanti , Luca Leuzzi
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