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We investigate scenarios in which the low-temperature phase of short-range spin glasses comprises thermodynamic states which are nontrivial mixtures of multiple incongruent pure state pairs. We construct a new kind of metastate supported on…

Disordered Systems and Neural Networks · Physics 2024-03-05 C. M. Newman , D. L. Stein

We report on a non-equilibrium phase of matter, the minimally disordered crystal phase, which we find exists between the maximally amorphous glasses and the ideal crystal. Even though these near crystals appear highly ordered, they display…

Soft Condensed Matter · Physics 2019-02-20 Patrick Charbonneau , Eric I. Corwin , Lin Fu , Georgios Tsekenis , Michael van der Naald

Within the wide class of disordered materials, spin glasses occupy a special place because of their conceptually simple definition of randomly interacting spins. Their modelling has triggered spectacular developments of out-of-equilibrium…

Disordered Systems and Neural Networks · Physics 2019-04-02 Eric Vincent , Vincent Dupuis

We use computer simulations to investigate the static properties of a simple glass-forming fluid in which the positions of a finite fraction of the particles has been frozen in. By probing the equilibrium distribution of the overlap between…

Disordered Systems and Neural Networks · Physics 2015-06-12 Walter Kob , Ludovic Berthier

The theory of the effect of external fluctuation force on the stability and spatial distribution of mutually interacting and slowly evaporating charged drops, levitated in an electrodynamic balance, is presented using classical…

Fluid Dynamics · Physics 2020-07-07 Mohit Singh , Y. S. Mayya , Rochish Thaokar

Spin glasses are the paradigm of complex systems. These materials present really slow dynamics. However, the nature of the spin glass phase in finite dimensional systems is still controversial. Different theories describing the low…

Disordered Systems and Neural Networks · Physics 2020-06-24 J. J. Ruiz-Lorenzo

We show that the generating functional describing the slow dynamics of spin glass systems is invariant under reparametrizations of the time. This result is general and applies for both infinite and short range models. It follows simply from…

Condensed Matter · Physics 2009-11-07 Claudio Chamon , Malcolm P. Kennett , Horacio Castillo , Leticia F. Cugliandolo

Understanding the yielding of glass-forming systems upon shearing is notoriously difficult since it is a strong non-equilibrium effect. Here we show that the concept of the potential energy landscape (PEL), developed for the quiescent…

Soft Condensed Matter · Physics 2018-09-26 Markus Blank-Burian , Andreas Heuer

In these lectures I will present an introduction to the modern way of studying the properties of glassy systems. I will start from soluble models of increasing complications, the Random Energy Model, the $p$-spins interacting model and I…

Disordered Systems and Neural Networks · Physics 2009-10-30 Giorgio Parisi

Elastoplastic lattice models for the response of solids to deformation typically incorporate structure only implicitly via a local yield strain that is assigned to each site. However, the local yield strain can change in response to a…

We examine here various aspects of the statics and dynamics of disordered elastic systems such as manifolds and periodic systems. Although these objects look very similar and indeed share some underlying physics, periodic systems constitute…

Disordered Systems and Neural Networks · Physics 2008-02-03 Thierry Giamarchi , Pierre Le Doussal

We have studied numerically the states reached in a quench from various temperatures in the one-dimensional fully-connected Kotliar, Anderson and Stein Ising spin glass model. This is a model where there are long-range interactions between…

Statistical Mechanics · Physics 2018-05-25 Auditya Sharma , Joonhyun Yeo , M. A. Moore

Local minima also known as inherent structures are expected to play an essential role for the behavior of spin glasses. Here, we propose techniques to efficiently sample these configurations in Monte Carlo simulations. For the…

Disordered Systems and Neural Networks · Physics 2018-05-23 Stefan Schnabel , Wolfhard Janke

The art of making structural, polymeric and metallic glasses is rapidly developing with many applications. A limitation to their use is their mechanical stability: under increasing external strain all amorphous solids respond elastically to…

Soft Condensed Matter · Physics 2015-05-19 Smarajit Karmakar , Edan Lerner , Itamar Procaccia

The existence of a generalized fluctuation-dissipation theorem observed in simulations and experiments performed in various glassy materials is related to the concepts of local equilibration and heterogeneity in space. Assuming the…

Statistical Mechanics · Physics 2009-11-10 Ludovic Berthier

We introduce an effective field theory for the vicinity of a zero temperature quantum transition between a metallic spin glass (``spin density glass'') and a metallic quantum paramagnet. Following a mean field analysis, we perform a…

Condensed Matter · Physics 2009-10-28 Subir Sachdev , N. Read , R. Oppermann

In this letter we present a dynamical study of the structure of metastable states (corresponding to TAP solutions) in a mean-field spin-glass model. After reviewing known results of the statical approach, we use dynamics: starting from an…

Condensed Matter · Physics 2009-10-28 A. Barrat , R. Burioni , M. Mézard

The stability of the TAP mean field equations is reanalyzed with the conclusion that the exclusive reason for the breakdown at the spin glass instability is an inconsistency for the value of the local susceptibility. A new alternative…

Disordered Systems and Neural Networks · Physics 2009-11-07 T. Plefka

We develop a theory for the quantum vortex glass, with both the coupling strengths and the site energies disordered. This model is closely related to XY spin glasses and bosons in random media. For properly chosen distributions of the site…

Condensed Matter · Physics 2016-08-31 Ferenc Pazmandi , Gergely T. Zimanyi , Richard T. Scalettar

Mixtures of near-symmetric oppositely charged components with strong attractive short range interactions exhibit ordered lamellar phases at low temperatures. In the strong segregation limit the state of these systems can be described by the…

Soft Condensed Matter · Physics 2007-05-23 Francisco J. Solis , Galen T. Pickett