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We study the effects of random fluctuations on quantum phase transitions by the energy gap analysis. For the infinite-ranged spin-glass models with a transverse field, we find that a strong sample-to-sample fluctuation effect leads to broad…

无序系统与神经网络 · 物理学 2010-04-13 Kazutaka Takahashi , Yoshiki Matsuda

The glass transition, extensively studied in dense fluids, polymers, or colloids, corresponds to a dramatic evolution of equilibrium transport coefficients upon a modest change of control parameter, like temperature or pressure. A similar…

统计力学 · 物理学 2013-05-06 Ludovic Berthier , Jorge Kurchan

The very nature of glass is somewhat mysterious: while relaxation times in glasses are of sufficient magnitude that large-scale motion on the atomic level is essentially as slow as it is in the crystalline state, the structure of glass…

We study the dynamics of a spin-flip model with a mean field interaction. The system is non reversible, spacially inhomogeneous, and it is designed to model social interactions. We obtain the limiting behavior of the empirical averages in…

概率论 · 数学 2015-05-14 Francesca Collet , Paolo Dai Pra , Elena Sartori

Truly stable metastable states are an artifact of the mean-field approximation or the zero temperature limit. If such appealing concepts in glass theory as configurational entropy are to have a meaning beyond these approximations, one needs…

统计力学 · 物理学 2016-08-31 Giulio Biroli , Jorge Kurchan

We review an scenario for the non-equilibrium dynamics of glassy systems that has been motivated by the exact solution of simple models. This approach allows one to set on firmer grounds well-known phenomenological theories. The old ideas…

统计力学 · 物理学 2009-11-07 Leticia F. Cugliandolo

In talk I will review the theoretical results that have been obtained for spin glasses, paying a particular attention to finite dimensional spin glasses. I will concentrate my attention on the formulation of the mean field approach and on…

无序系统与神经网络 · 物理学 2009-11-13 Giorgio Parisi

We review recent developments in structural-dynamical phase transitions in trajectory space. An open question is how the dynamic facilitation theory of the glass transition may be reconciled with thermodynamic theories that posit a…

统计力学 · 物理学 2020-08-04 C. Patrick Royall , Francesco Turci , Thomas Speck

The critical behaviour of the dynamical transition of glassy system is controlled by a Replica Symmetric action with n=1 replicas. The most divergent diagrams in the loop expansion correspond at all orders to the solutions of a stochastic…

统计力学 · 物理学 2011-05-27 Silvio Franz , Giorgio Parisi , Federico Ricci-Tersenghi , Tommaso Rizzo

We review the field of the glass transition, glassy dynamics and aging from a statistical mechanics perspective. We give a brief introduction to the subject and explain the main phenomenology encountered in glassy systems, with a particular…

统计力学 · 物理学 2020-10-12 Francesco Arceri , François P. Landes , Ludovic Berthier , Giulio Biroli

The nature of the glass transition is theoretically understood in the mean-field limit of infinite spatial dimensions, but the problem remains totally open in physical dimensions. Nontrivial finite-dimensional fluctuations are hard to…

统计力学 · 物理学 2019-04-05 Ludovic Berthier , Patrick Charbonneau , Andrea Ninarello , Misaki Ozawa , Sho Yaida

Recent experimental results point to the existence of coherent quantum phenomena in systems made of a large number of particles, despite the fact that for many-body systems the presence of decoherence is hardly negligible and emerging…

量子物理 · 物理学 2017-09-21 F. Benatti , F. Carollo , R. Floreanini , H. Narnhofer

A quantitative application to real supercooled liquids of the mean-field scenario for the glass transition ($T_g$) is proposed. This scenario, based on an analogy with spin-glass models, suggests a unified picture of the mode-coupling…

无序系统与神经网络 · 物理学 2009-10-31 V. Krakoviack , C. Alba-Simionesco

We investigate the properties of the glass phase of a recently introduced spin glass model of soft spins subjected to an anharmonic quartic local potential, which serves as a model of low temperature molecular or soft glasses. We solve the…

无序系统与神经网络 · 物理学 2025-11-11 Giampaolo Folena , Pierfrancesco Urbani

We propose a novel model for a glass-forming liquid which allows to switch in a continuous manner from a standard three-dimensional liquid to a fully connected mean-field model. This is achieved by introducing k additional particle-particle…

无序系统与神经网络 · 物理学 2023-02-15 Ujjwal Kumar Nandi , Walter Kob , Sarika Maitra Bhattacharyya

This is a short review on the compatibility between (a) mean-field, mode-coupling theories of the glass transition, where potential energy landscape ideas are natural, and (b) the necessity of describing the slowing down of glassy materials…

软凝聚态物质 · 物理学 2007-05-23 Jean-Philippe Bouchaud

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 aim of this report is to review a theoretical approach that has been proposed recently to describe dynamic fluctuations in glassy systems (work in collaboration with H. Castillo, C. Chamon, P. Charbonneau, J. L. Iguain, M. Kennett, D.…

无序系统与神经网络 · 物理学 2011-11-09 Leticia F. Cugliandolo

The work approaches the study of the fluctuations for the thermodynamic systems in the presence of the fields. The approach is of phenomenological nature and developed in a Gaussian approximation. The study is exemplified on the cases of a…

统计力学 · 物理学 2009-10-31 S. Dumitru , A. Boer

We provide here a brief perspective on the glass transition field. It is an assessment, written from the point of view of theory, of where the field is and where it seems to be heading. We first give an overview of the main phenomenological…

统计力学 · 物理学 2015-06-15 Giulio Biroli , Juan P. Garrahan