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Glasses and gels are the two dynamically arrested, disordered states of matter. Despite their importance, their similarities and differences remain elusive, especially at high density. We identify dynamical and structural signatures which…

软凝聚态物质 · 物理学 2014-09-22 C. Patrick Royall , Stephen R. Williams , Hajime Tanaka

We use a random pinning procedure to study amorphous order in two glassy spin models. On increasing the concentration of pinned spins at constant temperature, we find a sharp crossover (but no thermodynamic phase transition) from bulk…

统计力学 · 物理学 2015-03-19 Robert L. Jack , Ludovic Berthier

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

The microscopic dependence of glassy equilibration on sample history, both the initial configuration and the specific sequence of random noise, is examined. The temporal evolution of spin configurations in a two-dimensional Ising spin glass…

无序系统与神经网络 · 物理学 2018-08-23 Jie Yang , A. Alan Middleton

A mean-field multi-spin interaction spin glass model is analyzed in the presence of a ferromagnetic coupling. The static and dynamical phase diagrams contain four phases (paramagnet, spin glass, ordinary ferromagnet and glassy ferromagnet)…

无序系统与神经网络 · 物理学 2009-10-31 J. A. Hertz , David Sherrington , Th. M. Nieuwenhuizen

In many mean-field glassy systems, the low-temperature Gibbs measure is dominated by exponentially many metastable states. We analyze the evolution of the metastable states as temperature changes adiabatically in the solvable case of the…

无序系统与神经网络 · 物理学 2012-07-09 YiFan Sun , Andrea Crisanti , Florent Krzakala , Luca Leuzzi , Lenka Zdeborová

A picture for thermodynamics of the glassy state is introduced. It assumes that one extra parameter, the effective temperature, is needed to describe the glassy state. This explains the classical paradoxes concerning the Ehrenfest relations…

无序系统与神经网络 · 物理学 2009-10-31 Th. M. Nieuwenhuizen

The glassy state is known to undergo slow structural relaxation, where the system progressively explores lower free-energy minima which are either amorphous (ageing) or crystalline (devitrification). Recently, there is growing interest in…

软凝聚态物质 · 物理学 2017-08-03 Taiki Yanagishima , John Russo , Hajime Tanaka

Sorting the integers 1 through $N$ into an ordered list is a simple task that can be done rapidly. However, using an algorithm based on the thermally-activated pairwise exchanges of neighboring list elements, we find sorting can display…

软凝聚态物质 · 物理学 2010-06-29 Ling-Nan Zou , Sidney R. Nagel

We study the out of equilibrium dynamics of several models exhibiting aging. We attempt at identifying various types of aging systems using a phase space point of view: we introduce a trial classification, based on the overlap between two…

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

We perform extensive numerical simulations of a paradigmatic model glass former, the hard-sphere fluid with 10% polydispersity. We sample from the ensemble of trajectories with fixed observation time, whereby single trajectories are…

统计力学 · 物理学 2020-01-28 Matteo Campo , Thomas Speck

Glass phases can be stabilized by quenched disorders, as in most spin-glass materials, or self-generated through kinetic freezing in disorder-free systems. A canonical example of the latter is structural glasses, which have been extensively…

无序系统与神经网络 · 物理学 2024-10-17 Lingyu Yang , Gia-Wei Chern

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

We develop a real space renormalisation group analysis of disordered models of glasses, in particular of the spin models at the origin of the Random First Order Transition theory. We find three fixed points respectively associated to the…

无序系统与神经网络 · 物理学 2017-07-05 Maria Chiara Angelini , Giulio Biroli

The physics of highly excited Rydberg atoms is governed by blockade or exclusion interactions that hinder the excitation of atoms in the proximity of a previously excited one. This leads to cooperative effects and a relaxation dynamics…

统计力学 · 物理学 2018-09-12 Carlos Pérez-Espigares , Igor Lesanovsky , Juan P. Garrahan , Ricardo Gutiérrez

A spin glass is a diluted magnetic material in which the magnetic moments are randomly interacting, with a huge number of metastable states which prevent reaching equilibrium. Spin-glass models are conceptually simple, but require very…

无序系统与神经网络 · 物理学 2023-03-03 Eric Vincent

We numerically investigate the aging dynamics of a monatomic Lennard-Jones glass, focusing on the topology of the potential energy landscape which, to this aim, has been partitioned in basins of attraction of stationary points (saddles and…

无序系统与神经网络 · 物理学 2009-10-31 L. Angelani , R. Di Leonardo , G. Parisi , G. Ruocco

The understanding of thermodynamic glass transition has been hindered by the lack of proper models beyond mean-field theories. Here, we propose a three-dimensional lattice glass model on a simple cubic lattice that exhibits the typical…

统计力学 · 物理学 2020-08-07 Yoshihiko Nishikawa , Koji Hukushima

An exact solution of a Landau model of an order-disorder transition with activated critical dynamics is presented. The model describes a funnel-shaped topography of the order parameter space in which the number of energy lowering…

统计力学 · 物理学 2009-11-10 Satya N. Majumdar , Dibyendu Das , Jane' Kondev , Bulbul Chakraborty

We consider the stationary state of a fluid comprised of inelastic hard spheres or disks under the influence of a random, momentum-conserving external force. Starting from the microscopic description of the dynamics, we derive a nonlinear…

统计力学 · 物理学 2013-02-25 W. T. Kranz , M. Sperl , A. Zippelius