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We study analytically and numerically the statics and the off-equilibrium dynamics of spin models over finitely connected random graphs. We identify a threshold value for the connectivity beyond which the loop structure of the graph becomes…

无序系统与神经网络 · 物理学 2009-10-31 A. Barrat , R. Zecchina

Mechanical amorphization, a widely observed phenomenon, has been utilized to synthesize novel phases by inducing disorder through external loading, thereby expanding the realm of glass-forming systems. Empirically, it has been plausible…

材料科学 · 物理学 2024-06-25 Xinxin Li , Baoshuang Shang , Haibo Ke , Zhenduo Wu , Yang Lu , Haiyang Bai , Weihua Wang

These lecture notes cover the statics and glassy dynamics of granular media. Most of the lectures were in fact devoted to `force propagation' models. We discuss the experimental and theoretical motivations for these approaches, and their…

凝聚态物理 · 物理学 2007-05-23 J-P Bouchaud

Spin glasses are systems whose magnetic moments freeze at low temperature into random orientations without long-range order. It is generally accepted that both frustration and disorder are essential ingredients in all spin glasses, so it…

强关联电子 · 物理学 2009-11-13 E. A. Goremychkin , R. Osborn , B. D. Rainford , R. T. Macaluso , D. T. Adroja , M. Koza

Within the wide class of disordered materials, spin glasses occupy a special place because of their conceptually simple definition of randomly interacting spins. Their modelling has triggered spectacular developments of out-of-equilibrium…

无序系统与神经网络 · 物理学 2019-04-02 Eric Vincent , Vincent Dupuis

Two surfaces are "sticky" if breaking their mutual contact requires a finite tensile force. At low fractal dimensions D, there is consensus stickiness does not depend on the upper truncation frequency of roughness spectrum (or…

材料科学 · 物理学 2020-12-15 G. Violano , A. Papangelo , M. Ciavarella

We revisit the problem of the stress distribution in a frictional sandpile under gravity, equipped with a new numerical model of granular assemblies with both normal and tangential (frictional) inter-granular forces. Numerical simulations…

无序系统与神经网络 · 物理学 2016-11-30 H. George E. Hentschel , Prabhat K. Jaiswal , Chandana Mondal , Itamar Procaccia , Jacques Zylberg

This Ph.D. thesis is divided in two parts. The first one concerns the equilibrium properties of glassy systems. Some aspects of the phenomenology of glasses and of theories attempting to describe them are reviewed in chapter 1. A study of…

无序系统与神经网络 · 物理学 2007-05-23 F. Zamponi

It is usually assumed that any consistent interaction either deforms or retains the gauge symmetries of the corresponding free theory. We propose a simple model where an obvious irreducible gauge symmetry does not survive an interaction,…

广义相对论与量子宇宙学 · 物理学 2015-06-18 S. L. Lyakhovich , A. A. Sharapov

It is widely expected that systems which fully thermalize are chaotic in the sense of exhibiting random-matrix statistics of their energy level spacings, whereas integrable systems exhibit Poissonian statistics. In this paper, we…

We investigate the influence of space curvature, and of the associated "frustration", on the dynamics of a model glassformer: a monatomic liquid on the hyperbolic plane. We find that the system's fragility, i.e. the sensitivity of the…

统计力学 · 物理学 2008-10-15 François Sausset , Gilles Tarjus , Pascal Viot

The theory of the effect of external fluctuation force on the stability and spatial distribution of mutually interacting and slowly evaporating charged drops, levitated in an electrodynamic balance, is presented using classical…

流体动力学 · 物理学 2020-07-07 Mohit Singh , Y. S. Mayya , Rochish Thaokar

The discrete Gaussian model for the surface of a crystal deposited on a disordered substrate is studied by Monte Carlo simulations. A continuous transition is found from a phase with a thermally-induced roughness to a glassy one in which…

凝聚态物理 · 物理学 2009-10-22 D. Cule , Y. Shapir

Many glass-forming fluids exhibit a remarkable thermodynamic scaling in which dynamic properties, such as the viscosity, the relaxation time, and the diffusion constant, can be described under different thermodynamic conditions in terms of…

软凝聚态物质 · 物理学 2015-06-16 Wen-Sheng Xu , Karl F. Freed

The conventional approach to study glasses either requires considering the rapid drop in the excess entropy {\Delta}S_ex or the free volume V_f. As the two quantities are not directly related to each other, the viscosity in the two…

统计力学 · 物理学 2018-02-27 P. D. Gujrati

In this paper, we performed the comprehensive studies of frustration properties in the Ising model on a decorated square lattice in the framework of an exact analytical approach based on the Kramers--Wannier transfer matrix method. The…

统计力学 · 物理学 2025-04-25 F. A. Kassan-Ogly , A. V. Zarubin

Certain thermal non-equilibrium situations, outside of the astrophysical realm, suggest that entropy production extrema, instead of entropy extrema, are related to stationary states. In an effort to better understand the evolution of…

星系天体物理 · 物理学 2015-05-27 Eric I. Barnes , Liliya L. R. Williams

We propose a computational method to measure the configurational entropy in generic polydisperse glass-formers. In particular, our method resolves issues related to the diverging mixing entropy term due to a continuous polydispersity. The…

统计力学 · 物理学 2018-11-09 Misaki Ozawa , Giorgio Parisi , Ludovic Berthier

In the framework of topological constraint theory, network glasses are classified as flexible, stressed--rigid, or isostatic if the number of atomic constraints is smaller, larger, or equal to the number of atomic degrees of freedom. Here,…

材料科学 · 物理学 2018-12-13 Ernest Ching , Mathieu Bauchy

We show that for stochastic dynamical systems out of equilibrium the violation of the fluctuation-dissipation equality is bounded by a function of the entropy production. The result applies to a much wider situation than `near equilibrium',…

统计力学 · 物理学 2009-01-23 Leticia F. Cugliandolo , David S. Dean , Jorge Kurchan