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Related papers: Local vs. Global Variables for Spin Glasses

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We present a coherent approach to the competition between thermodynamic states in spatially inhomogeneous systems, such as the Edwards-Anderson spin glass with a fixed coupling realization. This approach explains and relates chaotic size…

adap-org · Physics 2009-10-28 C. M. Newman , D. L. Stein

Ensemble inequivalence occurs when a systems thermodynamic properties vary depending on the statistical ensemble used to describe it. This phenomenon is known to happen in systems with long-range interactions and has been observed in many…

Statistical Mechanics · Physics 2026-04-09 Daniel Arrufat-Vicente , David Mukamel , Stefano Ruffo , Nicolo Defenu

We summarize the different puzzles raised by aging experiments of spin-glasses and their various interpretations. We try to reconcile the `real space', droplet like pictures with the hierarchical pictures that have been proposed in the…

Condensed Matter · Physics 2009-11-07 Jean-Philippe Bouchaud , Vincent Dupuis , Jacques Hammannn , Eric Vincent

We study the growing time scales and length scales associated with dynamical slow down for a realistic glass former, using computer simulations. We perform finite size scaling to evaluate a length scale associated with dynamical…

Statistical Mechanics · Physics 2009-11-13 Smarajit Karmakar , Chandan Dasgupta , Srikanth Sastry

Glassy systems are disordered systems characterized by extremely slow dynamics. Examples are supercooled liquids, whose dynamics slow down under cooling. The specific pattern of slowing-down depends on the material considered. This…

Disordered Systems and Neural Networks · Physics 2016-04-12 Le Yan

Spin glasses are paradigmatic models that deliver concepts relevant for a variety of systems. However, rigorous analytical results are difficult to obtain for spin-glass models, in particular for realistic short-range models. Therefore…

Disordered Systems and Neural Networks · Physics 2008-02-12 Helmut G. Katzgraber

We study the transport properties of a one-dimensional spinful Fermi gas, after junction of two semi-infinite sub-systems held at different temperatures. The ensuing dynamics is studied by analysing the space-time profiles of local…

Quantum Gases · Physics 2019-01-18 Márton Mestyán , Bruno Bertini , Lorenzo Piroli , Pasquale Calabrese

We study spin glass behavior in a random Ising Coulomb antiferromagnet in two and three dimensions using Monte Carlo simulations. In two dimensions, we find a transition at zero temperature with critical exponents consistent with those of…

Disordered Systems and Neural Networks · Physics 2016-09-30 J. Rehn , R. Moessner , A. P. Young

The properties of discrete two-dimensional spin glasses depend strongly on the way the zero-temperature limit is taken. We discuss this phenomenon in the context of the Migdal-Kadanoff renormalization group. We see, in particular, how these…

Disordered Systems and Neural Networks · Physics 2015-03-19 Thomas Jorg , Florent Krzakala

In this work we study spin-glass (SG) like behavior in the dynamics of multiple agents in a social or economic context using interactions which are similar to the physical case. The different preferences shown by individual agents are…

Physics and Society · Physics 2007-05-23 Fariel Shafee

The dynamics of supercooled liquids slow down and become increasingly heterogeneous as they are cooled. Recently, local structural variables identified using machine learning, such as "softness", have emerged as predictors of local…

Soft Condensed Matter · Physics 2024-06-11 Sean A. Ridout , Andrea J. Liu

We study concentrated binary colloidal suspensions, a model system which has a glass transition as the volume fraction $\phi$ of particles is increased. We use confocal microscopy to directly observe particle motion within dense samples…

Soft Condensed Matter · Physics 2011-05-20 Takayuki Narumi , Scott V. Franklin , Kenneth W. Desmond , Michio Tokuyama , Eric R. Weeks

As approaching the glass transition, particle motion in liquids becomes highly heterogeneous and regions with virtually no mobility coexist with liquid-like domains. This complex dynamics is believed to be responsible for different…

Soft Condensed Matter · Physics 2018-03-28 F. Puosi , N. Jakse , A. Pasturel

The spin glasses are disordered and frustrated magnetic systems. They show aging phenomena which are also a characteristic feature of structural glasses, polymers, dielectrics, colloids, etc. Under a strong enough magnetic field variation,…

Disordered Systems and Neural Networks · Physics 2007-05-23 V. Dupuis , E. Vincent , F. Bert , D. Herisson , J. Hammann , M. Ocio

From numerical minimization of a model free energy functional for a system of hard spheres, we show that the width of the local peaks of the time-averaged density field at a glassy free-energy minimum exhibits large spatial variation,…

Statistical Mechanics · Physics 2008-12-23 Pinaki Chaudhuri , Smarajit Karmakar , Chandan Dasgupta

I describe a class of spin models with short--range plaquette interactions whose static equilibrium properties are trivial but which display glassy dynamics at low temperatures. These models have a dual description in terms of free defects…

Statistical Mechanics · Physics 2009-11-07 Juan P. Garrahan

A scenario for systems with slow dynamics is characterised by stating that there are several temperatures coexisting in the sample, with a single temperature shared by all observables at each (widely separate) time-scale. In preparation for…

Statistical Mechanics · Physics 2016-08-31 Jorge Kurchan

From a consideration of high temperature series expansions in ferromagnets and in spin glasses, we propose an extended scaling scaling scheme involving a set of scaling formulae which express to leading order the temperature (T) and the…

Statistical Mechanics · Physics 2007-05-23 I. A. Campbell , K. Hukushima , H. Takayama

Energy landscapes are high-dimensional surfaces representing the dependence of system energy on variable configurations, which determine crucially the system's emergent behavior but are difficult to be analyzed due to their high-dimensional…

Disordered Systems and Neural Networks · Physics 2024-05-24 Ho Fai Po , Chi Ho Yeung

We consider the energy difference restricted to a finite volume for certain pairs of incongruent ground states (if they exist) in the d-dimensional Edwards-Anderson (EA) Ising spin glass at zero temperature. We prove that the variance of…

Mathematical Physics · Physics 2016-05-04 L. -P. Arguin , C. M. Newman , D. L. Stein , J. Wehr
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