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Topological defects are typically quantified relative to ordered backgrounds. The importance of these defects to the understanding of physical phenomena including diverse equilibrium melting transitions from low temperature ordered to…

统计力学 · 物理学 2019-02-19 Z. Nussinov , N. B. Weingartner , F. S. Nogueira

Spin glasses occupy a unique place in condensed matter: they freeze collectively while remaining struc-turally disordered, and they exhibit slow, history-dependent dynamics that reflect an exceptionally rug-ged free-energy landscape. This…

无序系统与神经网络 · 物理学 2025-12-25 Naeimeh Tahriri , Vahid Mahdikhah , Jahanfar Abouie , Daryoosh Vashaee

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 introduce a lattice spin model where frustration is due to multibody interactions rather than quenched disorder in the Hamiltonian. The system has a crystalline ground state and below the melting temperature displays a dynamic behaviour…

统计力学 · 物理学 2009-11-07 Andrea Cavagna , Irene Giardina , Tomas Grigera

The p-spin spin-glass model has been studied extensively at mean-field level because of the insights which it provides into the mode-coupling approach to structural glasses and the nature of the glass transition. We demonstrate explicitly…

无序系统与神经网络 · 物理学 2009-11-07 M. A. Moore , Barbara Drossel

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

One of the most spectacular phenomena in physics in terms of dynamical range is the glass transition and the associated slowing down of flow and relaxation with decreasing temperature. That it occurs in many different liquids seems to call…

统计力学 · 物理学 2015-06-25 G. Tarjus , S. A. Kivelson , Z. Nussinov , P. Viot

A simple, non-disordered spin model has been studied in an effort to understand the origin of the precipitous slowing down of dynamics observed in supercooled liquids approaching the glass transition. A combination of Monte Carlo…

统计力学 · 物理学 2009-11-07 Hui Yin , Bulbul Chakraborty

Spin glasses are disordered magnetic systems that exhibit a variety of properties that are characteristic of complex systems. After a brief review of basic spin glass concepts, their use in areas such as computer science, biology, and other…

统计力学 · 物理学 2012-05-16 D. L. Stein , C. M. Newman

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

We study two dimensional frustrated but non-disordered systems applying a replica approach to a stripe forming model with competing interactions. The phenomenology of the model is representative of several well known systems, like high-Tc…

统计力学 · 物理学 2013-06-18 Ana C. Ribeiro Teixeira , Daniel A. Stariolo , Daniel G. Barci

To understand the origin of the dynamical transition, between high temperature exponential relaxation and low temperature nonexponential relaxation, that occurs well above the static transition in glassy systems, a frustrated spin model,…

统计力学 · 物理学 2009-10-31 Giancarlo Franzese , Antonio Coniglio

Measuring, characterizing and modelling the slow dynamics of glassy soft matter is a great challenge, with an impact that ranges from industrial applications to fundamental issues in modern statistical physics, such as the glass transition…

软凝聚态物质 · 物理学 2009-11-11 Luca Cipelletti , Laurence Ramos

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

In this talk I review some recent developments which shed light on the main connections between structural glasses and mean-field spin glass models with a discontinuous transition. I also discuss the role of quantum fluctuations on the…

无序系统与神经网络 · 物理学 2009-10-28 Felix Ritort

An analytical approach, which develops the gauge model of the glass transition phenomenon, is suggested. It is based on the quantum field theory and critical dynamics methods. The suggested mechanism of glass transition is based on the…

统计力学 · 物理学 2011-05-12 Mikhail Vasin

Since the discovery of spin glasses in dilute magnetic systems, their study has been largely focused on understanding randomness and defects as the driving mechanism. The same paradigm has also been applied to explain glassy states found in…

The glass transition is considered as a phase transition in the system of topologically protected excitations in matter structure. The critical behavior of the system is considered both in statics and dynamics cases. It is shown in the…

统计力学 · 物理学 2022-04-20 Mikail Vasin

In this talk we review our theoretical understanding of spin glasses paying a particular attention to the basic physical ideas. We introduce the replica method and we describe its probabilistic consequences (we stress the recently…

无序系统与神经网络 · 物理学 2007-05-23 Giorgio Parisi

Theoretical challenges in understanding the nature of glass and the glass transition remain significant open questions in statistical and condensed matter physics. As a prototypical example of complex physical systems, glasses and the…

无序系统与神经网络 · 物理学 2026-01-21 Xin-Jia Zhou , Feng Yang , Xiao-Dong Yang , Lin Ma , Zhen-Wei Wu