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We consider the equilibrium dynamics of Ising spin models with multi-spin interactions on sparse random graphs (Bethe lattices). Such models undergo a mean field glass transition upon increasing the graph connectivity or lowering the…

统计力学 · 物理学 2009-11-10 Andrea Montanari , Guilhem Semerjian

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

In certain mean field models for spin glasses there occurs a one step replica symmetry breaking pattern. As an example of general $1/N$-corrections in such systems, the fluctuations in the internal energy are calculated. For this specific…

凝聚态物理 · 物理学 2009-10-28 Th. M. Nieuwenhuizen

Glass transitions are widely observed in various types of soft matter systems. However, the physical mechanism of these transitions remains {elusive}, despite years of ambitious research. In particular, an important unanswered question is…

无序系统与神经网络 · 物理学 2022-12-20 Norihiro Oyama , Shihori Koyama , Takeshi Kawasaki

Active matter, whose motion is driven, and glasses, whose dynamics are arrested, seem to lie at opposite ends of the spectrum in nonequilibrium systems. In spite of this, both classes of systems exhibit a multitude of stable states that are…

统计力学 · 物理学 2014-06-10 K. R. Pilkiewicz , J. D. Eaves

We numerically study a disordered model for the RNA secondary structure and we find that it undergoes a phase transition, with a breaking of the replica symmetry in the low temperature region (like in spin glasses). Our results are based on…

无序系统与神经网络 · 物理学 2009-10-31 A. Pagnani , G. Parisi , F. Ricci-Tersenghi

By characterizing the dynamics of idealized lattice models with a tunable kinetic constraint, we explore the different ways in which dynamical facilitation manifests itself within the local dynamics of glassy materials. Dynamical…

统计力学 · 物理学 2012-06-25 Yael S. Elmatad , Aaron S. Keys

The glass transition is described in terms of thermally activated local structural rearrangements, the secondary relaxations of the glass phase. The interaction between these secondary relaxations leads to a much faster and much more…

无序系统与神经网络 · 物理学 2007-05-23 U. Buchenau

In this article we study a simple spin model which has a non-interacting Hamiltonian but constrained dynamics. The model, which is a simplification of a purely toplogical cellular model, displays glassy behaviour, involves activated…

无序系统与神经网络 · 物理学 2009-11-07 Lexie Davison , David Sherrington , Juan P. Garrahan , Arnaud Buhot

The out of equilibrium dynamics of finite dimensional spin glasses is considered from a point of view going beyond the standard `mean-field theory' versus `droplet picture' debate of the last decades. The main predictions of both theories…

统计力学 · 物理学 2009-11-07 Alain Barrat , Ludovic Berthier

A theoretical analysis [Angelani et al., Phys. Rev. Lett. 96, 065702 (2006)] predicts glassy behaviour of light in a nonlinear random medium. This implies slow dynamics related to the presence of many metastable states. We consider very…

无序系统与神经网络 · 物理学 2016-08-31 Luca Angelani , Claudio Conti , Giancarlo Ruocco , Francesco Zamponi

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

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

In these lectures I will present an introduction to the modern way of studying the properties of glassy systems. I will start from soluble models of increasing complications, the Random Energy Model, the $p$-spins interacting model and I…

无序系统与神经网络 · 物理学 2009-10-30 Giorgio Parisi

In these lectures I will review the approach to glasses based on the replica formalism. Many of the physical ideas are very similar to those of older approaches. The replica approach has the advantage of describing in an unified setting…

软凝聚态物质 · 物理学 2007-05-23 Giorgio Parisi

Dynamical heterogeneities -- strong fluctuations near the glass transition -- are believed to be crucial to explain much of the glass transition phenomenology. One possible hypothesis for their origin is that they emerge from soft…

软凝聚态物质 · 物理学 2012-01-10 Karina E. Avila , Horacio E. Castillo , Azita Parsaeian

Recent work on particle-based models of tissues has suggested that any finite rate of cell division and cell death is sufficient to fluidize an epithelial tissue. At the same time, experimental evidence has indicated the existence of glassy…

软凝聚态物质 · 物理学 2019-05-07 Michael Czajkowski , Daniel M. Sussman , M. Cristina Marchetti , M. Lisa Manning

We investigate the dynamics of a driven system of dissipative hard spheres in the framework of mode-coupling theory. The dissipation is modeled by normal restitution, and driving is applied to individual particles in the bulk. In such a…

软凝聚态物质 · 物理学 2010-06-29 W. Till Kranz , Matthias Sperl , Annette Zippelius

We study microscopic and macroscopic dynamical properties of a frustrated lattice gas, strictly related to usual spin glasses, showing the violation of Stokes-Einstein law. The glassy behaviors are analyzed and related with experimental…

统计力学 · 物理学 2009-10-30 Mario Nicodemi , Antonio Coniglio

The spin glasses are disordered and frustrated magnetic systems. They show aging phenomena which are also a characteristic feature of structural glasses, polymers, dielectrics, colloids, etc. Under a strong enough magnetic field variation,…

无序系统与神经网络 · 物理学 2007-05-23 V. Dupuis , E. Vincent , F. Bert , D. Herisson , J. Hammann , M. Ocio