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The role of reflection symmetry breaking for the character of the appearance of replica symmetric spin glass state is investigated. We establish the following symmetry rule for classical systems with one order parameter in the replica…

无序系统与神经网络 · 物理学 2009-11-07 N. V. Gribova , V. N. Ryzhov , T. I. Schelkacheva , E. E. Tareyeva

In this talk I will present a complete theory for the behaviour of large-scale dynamical heterogeneities in glasses. Following the work arXiv:1001.1746 I will show that we can write a (physically motivated) simple stochastic differential…

无序系统与神经网络 · 物理学 2010-09-09 Silvio Franz , Giorgio Parisi , Federico Ricci-Tersenghi , Tommaso Rizzo

We present a prototype of behavior of glassy systems driven by quantum dynamics in a quenching protocol by analyzing the random energy model in a transverse field. We calculate several types of dynamical quantum amplitude and find a…

统计力学 · 物理学 2012-12-14 Tomoyuki Obuchi , Kazutaka Takahashi

The interrelation of dynamic processes active on separated time-scales in glasses and viscous liquids is investigated using a model displaying two time-scale bifurcations both between fast and secondary relaxation and between secondary and…

无序系统与神经网络 · 物理学 2015-03-19 Andrea Crisanti , Luca Leuzzi , Matteo Paoluzzi

Guided by old results on simple mode-coupling models displaying glass-glass transitions, we demonstrate, through a crude analysis of the solution with one step of replica symmetry breaking (1RSB) derived by Crisanti and Leuzzi for the…

无序系统与神经网络 · 物理学 2007-10-18 V. Krakoviack

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

The structure of states of the perturbed p-spin spherical spin-glass is analyzed. At low enough free energy metastable states have a supersymmetric structure, while at higher free energies the supersymmetry is broken. The transition between…

无序系统与神经网络 · 物理学 2009-11-10 Alessia Annibale , Giulia Gualdi , Andrea Cavagna

This paper provides an overview of the research on the metastable behavior of the Ising model. We analyze the transition times from the set of metastable states to the set of the stable states by identifying the critical configurations that…

统计力学 · 物理学 2025-01-13 Vanessa Jacquier

The dynamical arrest of gels is the consequence of a well defined structural phase transition, leading to the formation of a spanning cluster of bonded particles. The dynamical glass transition, instead, is not accompanied by any clear…

软凝聚态物质 · 物理学 2016-07-21 Raffaele Pastore , Antonio de Candia , Anallisa Fierro , Massimo Pica Ciamarra , Antonio Coniglio

We use computer simulations to study the microscopic dynamics of an athermal assembly of soft particles near the fluid-to-solid, jamming transition. Borrowing tools developed to study dynamic heterogeneity near glass transitions, we…

材料科学 · 物理学 2010-06-24 Claus Heussinger , Ludovic Berthier , Jean-Louis Barrat

We analyze the ways in which the random first order phase transition (RFOT) of the glass transition differs from the well-studied regular first order and second order (or continuous) phase transitions. Just as is the case in the latter two…

统计力学 · 物理学 2024-09-23 T. R. Kirkpatrick , D. Thirumalai

In this paper we introduce the generalized oscillator model (GOM) as a family of exactly solvable models useful to investigate theoretical aspects related to the statistical description of the aging state. GOMs are defined by a potential…

统计力学 · 物理学 2007-05-23 F. Ritort

This paper studies nonstationary open dynamical systems from the statistical viewpoint. By open, we mean that trajectories may escape through holes in the phase space. By nonstationary, we mean that the dynamical model itself (as well as…

动力系统 · 数学 2020-05-19 Brett Geiger , William Ott

Molecular dynamics simulations are performed to investigate heterogeneous dynamics in amorphous glassy materials under oscillatory shear strain. We consider three-dimensional binary Lennard-Jones mixture well below the glass transition…

软凝聚态物质 · 物理学 2013-05-10 Nikolai V. Priezjev

In this work we calculate the dynamical fluctuations at O(1/N) in the low temperature phase of the $p=2$ spherical spin glass model. We study the large-times asymptotic regimes and we find, in a short time-differences regime, a fluctuation…

凝聚态物理 · 物理学 2009-10-30 Matteo Campellone , Giorgio Parisi , Paola Ranieri

Dynamics of spin-glasses subjected to slow continuous changes of working enviroment such as slow changes of temperature or interaction bonds are studied based on scaling arguments and numerical simulations of continuous bond changes. Such…

无序系统与神经网络 · 物理学 2009-11-10 Hajime Yoshino , Petra E. Jonsson

We investigate the nature of the critical behavior of the random-anisotropy Heisenberg model (RAM), which describes a magnetic system with random uniaxial single-site anisotropy, such as some amorphous alloys of rare earths and transition…

无序系统与神经网络 · 物理学 2007-05-23 Francesco Parisen Toldin , Andrea Pelissetto , Ettore Vicari

Over the last few years it was pointed out that certain observables of time-evolving quantum systems may have singularities at certain moments in time, mimicking the singularities physical systems have when undergoing phase transitions.…

统计力学 · 物理学 2019-09-11 V. Gurarie

A key open question in the glass transition field is whether a finite temperature thermodynamic transition to the glass state exists or not. Recent simulations of coupled replicas in atomistic models have found signatures of a static…

统计力学 · 物理学 2015-06-18 Juan P. Garrahan

We investigate the generalized p-spin models that contain arbitrary diagonal operators U with no reflection symmetry. We derive general equations that give an opportunity to uncover the behavior of the system near the glass transition at…

统计力学 · 物理学 2014-02-10 E. E. Tareyeva , T. I. Schelkacheva , N. M. Chtchelkatchev