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相关论文: On the dynamics of the glass transition on Bethe l…

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We study the equilibrium statistical properties of the potential energy landscape of several glass models in a temperature regime so far inaccessible to computer simulations. We show that unstable modes of the stationary points undergo a…

统计力学 · 物理学 2019-12-11 Daniele Coslovich , Andrea Ninarello , Ludovic Berthier

We numerically elucidate the microscopic mechanisms controlling the relaxation dynamics of a three-dimensional lattice glass model that has static properties compatible with the approach to a random first-order transition. At low…

无序系统与神经网络 · 物理学 2024-02-09 Yoshihiko Nishikawa , Ludovic Berthier

We use 3D numerical simulations to explore the phase diagram of driven flux line lattices in presence of weak random columnar disorder at finite temperature and high driving force. We show that the moving Bose glass phase exists in a large…

无序系统与神经网络 · 物理学 2015-05-13 Y. Fily , E. Olive , J. C. Soret

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

We consider thermodynamic and dynamic phase transitions in plaquette spin models of glasses. The thermodynamic transitions involve coupled (annealed) replicas of the model. We map these coupled-replica systems to a single replica in a…

统计力学 · 物理学 2015-08-19 Robert M. Turner , Robert L. Jack , Juan P. Garrahan

We consider the dynamics of a disordered p-spin model with p=2, analyzing the dynamics within Ruelle's thermodynamic formalism, We use an indicator of the dynamical activity to construct the relevant dynamical Gibbs ensemble. We prove that…

无序系统与神经网络 · 物理学 2013-05-29 Kristina Van Duijvendijk , Robert L. Jack , Frédéric Van Wijland

We consider a lattice gas model which in addition to the canonical nearest neighbor pair interatomic interaction accounts for a many-body interaction inside atomic trios. Interactions of this kind arise in the coherent strained epitaxy and…

材料科学 · 物理学 2007-05-23 V. I. Tokar , H. Dreyssé

We show that facilitated spin mixtures with a tunable facilitation reproduce, on a Bethe lattice, the simplest higher-order singularity scenario predicted by the mode-coupling theory (MCT) of liquid-glass transition. Depending on the…

无序系统与神经网络 · 物理学 2011-01-04 Mauro Sellitto , Daniele De Martino , Fabio Caccioli , Jeferson J. Arenzon

We use molecular dynamics to investigate the glass transition occurring at large volume fraction, phi, and low temperature, T, in assemblies of soft repulsive particles. We find that equilibrium dynamics in the (phi, T) plane obey a form of…

统计力学 · 物理学 2009-04-10 Ludovic Berthier , Thomas A. Witten

We consider a frustrated spin model with a glassy dynamics characterized by a slow component and a fast component in the relaxation process. The slow process involves variables with critical behavior at finite temperature T_p and has a…

无序系统与神经网络 · 物理学 2016-11-23 Giancarlo Franzese

In this paper the phenomenon of dynamic heterogeneity in supercooled liquid systems is considered in terms of the recently proposed gauge theory of glass transition. The physical interpretation of the dynamic scaling is considered. It is…

统计力学 · 物理学 2015-06-23 Mikhail Vasin

The dynamical behavior of a kind of models with hierarchically constrained dynamics is investigated. The models exhibit many properties resembling real structural glasses. In particular, we focus on the study of time-dependent temperature…

统计力学 · 物理学 2009-11-07 A. Prados , J. J. Brey

The statics of the Fredrickson-Andersen model (FAM) of the liquid-glass transition is solved on the Bethe lattice (BL). The kinetic constraints of the FAM imply on the BL an ergodicity-breaking transition to a (glassy) phase where a…

无序系统与神经网络 · 物理学 2024-10-24 Gianmarco Perrupato , Tommaso Rizzo

We study the statistical mechanics and the equilibrium dynamics of a system of classical Heisenberg spins with frustrated interactions on a $d$-dimensional simple hypercubic lattice, in the limit of infinite dimensionality $d \to \infty$.…

无序系统与神经网络 · 物理学 2024-04-25 Achille Mauri , Mikhail I. Katsnelson

A disordered spin model suitable for studying inverse freezing in fragile glass-forming systems is introduced. The model is a microscopic realization of the ``random-first order'' scenario in which the glass transition can be either…

软凝聚态物质 · 物理学 2009-11-11 Mauro Sellitto

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

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

We study the dynamics of the East model, comprising a chain of uncoupled spins in a downward-pointing field. Glassy effects arise at low temperatures $T$ from the kinetic constraint that spins can only flip if their left neighbour is up. We…

统计力学 · 物理学 2007-05-23 P. Sollich , M. R. Evans

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

Facilitated spin models were introduced some decades ago to mimic systems characterized by a glass transition. Recent developments have shown that a class of facilitated spin models is also able to reproduce characteristic signatures of the…

无序系统与神经网络 · 物理学 2014-11-07 Peter G. Fennell , James P. Gleeson , Davide Cellai