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The glass transition is considered within two toys models, a mean field spin glass and a directed polymer in a correlated random potential. In the spin glass model there occurs a dynamical transition, where the system condenses in a state…

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

Glass transition is a reversible transition that occurs in most amorphous materials. However, the nature of glass transition remains far from being clarified. A key to understand the glass transition is to clarify what determines the glass…

材料科学 · 物理学 2025-01-22 Lijian Song , Meng Gao , Juntao Huo , Li-Min Wang , Yuanzheng Yue , Jun-Qiang Wang

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

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 metastable states of a glass are counted by adding a weak pinning field which explicitly breaks the ergodicity. Their entropy, that is the logarithm of their number, is extensive in a range of temperatures $T_G < T < T_C$ only, where…

凝聚态物理 · 物理学 2009-10-28 R. Monasson

In this talk, after a short phenomenological introduction on glasses, I will describe some recent progresses that have been done in glasses using the replica method in the definition and in the evaluation of the configurational entropy (or…

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

We numerically study the potential energy landscape of a fragile glassy system and find that the dynamic crossover corresponding to the glass transition is actually the effect of an underlying geometric transition caused by a qualitative…

无序系统与神经网络 · 物理学 2009-11-07 Tomas S. Grigera , Andrea Cavagna , Irene Giardina , Giorgio Parisi

Existing theories explain spin glass transition in terms of a phase transition and order parameters, and assume the existence of a distinct spin glass phase. In addition to problems related to clarifying the nature of this phase, the common…

无序系统与神经网络 · 物理学 2015-05-20 Kostya Trachenko

It has been recently shown that one can understand the Prigogine-Defay ratio at the glass transition in terms of freezing into one of the many inherent states of the undercooled liquid. In the present paper, the treatment is extended to the…

无序系统与神经网络 · 物理学 2016-03-21 U. Buchenau

The transition into a glassy state of the ensemble of static, mechanically stable configurations of a tapped granular pile is explored using extensive molecular dynamics simulations. We show that different horizontal sub-regions ("layers")…

软凝聚态物质 · 物理学 2022-01-19 Paula A Gago , Stefan Boettcher

Theoretical challenges in understanding the nature of glass and the glass transition remain significant open questions in statistical and condensed matter physics. As a prototypical example of complex physical systems, glasses and the…

无序系统与神经网络 · 物理学 2026-01-21 Xin-Jia Zhou , Feng Yang , Xiao-Dong Yang , Lin Ma , Zhen-Wei Wu

In an effort to understand the glass transition, the dynamics of a non-randomly frustrated spin model has been analyzed. The phenomenology of the spin model is similar to that of a supercooled liquid undergoing the glass transition. The…

统计力学 · 物理学 2009-10-31 Hui Yin , Bulbul Chakraborty

An alternative scenario for the glass transition based on the cooperative nature of nucleation processes and the role of entropic effects is presented. The new ingredient is to relate the dissipation during the relaxation process to the…

统计力学 · 物理学 2007-05-23 Andrea Crisanti , Felix Ritort

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

The glass transition, extensively studied in dense fluids, polymers, or colloids, corresponds to a dramatic evolution of equilibrium transport coefficients upon a modest change of control parameter, like temperature or pressure. A similar…

统计力学 · 物理学 2013-05-06 Ludovic Berthier , Jorge Kurchan

Using Monte Carlo simulations we show that the three-dimensional Ising model with four-spin (plaquette) interactions has some characteristic glassy features. The model dynamically generates diverging energy barriers, which give rise to slow…

统计力学 · 物理学 2015-06-25 A. Lipowski , D. Johnston

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

In simplified models of glasses we clarify the existence of two different kinds of activated dynamics, which coexist, with one of the two dominating over the other. One is the energy barrier hopping that is typically used to picture…

无序系统与神经网络 · 物理学 2022-08-16 Matthew R. Carbone , Marco Baity-Jesi

We compute the complexity (logarithm of the number of TAP states) associated with minima and index-one saddle points of the TAP free energy. Higher-index saddles have smaller complexities. The two leading complexities are equal, consistent…

无序系统与神经网络 · 物理学 2009-11-10 T. Aspelmeier , A. J. Bray , M. A. Moore

We present a simple mathematical framework for the description of the dynamics of glassy systems in terms of a random walk in a complex energy landscape pictured as a network of minima. We show how to use the tools developed for the study…

统计力学 · 物理学 2015-03-17 Paolo Moretti , Andrea Baronchelli , Alain Barrat , Romualdo Pastor-Satorras
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