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We use theory and simulations to investigate the existence of amorphous glassy states in ultrasoft colloids. We combine the hyper-netted chain approximation with mode-coupling theory to study the dynamic phase diagram of soft repulsive…

Soft Condensed Matter · Physics 2010-12-16 Ludovic Berthier , Angel J. Moreno , Grzegorz Szamel

We review a model--based rather than phenomenological approach to low--temperature anomalies in glasses. Specifically, we present a solvable model inspired by spin--glass theory that exhibits both, a glassy low--temperature phase, and a…

Statistical Mechanics · Physics 2009-10-31 Reimer Kuehn , Uta Horstmann

We study a microscopic mean-field model for the dynamics of the electron glass, near a local equilibrium state. Phonon-induced tunneling processes are responsible for generating transitions between localized electronic sites, which…

Disordered Systems and Neural Networks · Physics 2009-11-30 Ariel Amir , Yuval Oreg , Yoseph Imry

The two-dimensional XY-model with random phase-shifts on bonds is studied. The analysis is based on a renormalization group for the replicated system. The model is shown to have an ordered phase with quasi long-range order. This ordered…

Condensed Matter · Physics 2009-10-28 Stefan Scheidl

Understanding the dynamics of strongly interacting disordered quantum systems is one of the most challenging problems in modern science, due to features such as the breakdown of thermalization and the emergence of glassy phases of matter.…

Quantum Physics · Physics 2021-01-27 A. Signoles , T. Franz , R. Ferracini Alves , M. Gärttner , S. Whitlock , G. Zürn , M. Weidemüller

We discuss the low-temperature dynamics of an elastic manifold driven through a random medium. For driving forces well below the $T=0$ depinning force, the medium advances via thermally activated hops over the energy barriers separating…

Condensed Matter · Physics 2009-10-28 Valerii M. Vinokur , M. Cristina Marchetti , Lee-Wen Chen

Using depolarized light scattering, we have recently shown that structural relaxation in a broad range of supercooled liquids follows, to good approximation, a generic line shape with high-frequency power law $\omega^{-1/2}$. We now…

Soft Condensed Matter · Physics 2022-05-11 Till Böhmer , Jan Philipp Gabriel , Rolf Zeißler , Timo Richter , Thomas Blochowicz

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…

Statistical Mechanics · Physics 2022-04-20 Mikail Vasin

We estimate numerically the normal modes of the free energy in a glass of hard discs. We observe that, near the glass transition or after a rapid quench deep in the glass phase, the density of states (i) is characteristic of a marginally…

Soft Condensed Matter · Physics 2008-05-09 Carolina Brito , Matthieu Wyart

This paper is the fifth in a series exploring the physical consequences of the solidity of glass-forming liquids. Paper IV proposed a model where the density field is described by a time-dependent Ginzburg-Landau equation of the…

Soft Condensed Matter · Physics 2009-11-13 Jeppe C. Dyre

There are deep analogies between the melting dynamics in systems with a first order phase transition and the dynamics from equilibrium in super-cooled liquids. For a class of Ising spin models undergoing a first order transition - namely…

Statistical Mechanics · Physics 2011-01-25 Florent Krzakala , Lenka Zdeborová

The recent reports of the replica symmetry breaking (RSB) phenomenon in photonic experiments [1-5] boosted the understanding of the role of disorder in multimode lasers, as well as helped to settle enlightening connections [6-13] with the…

The low-temperature quasi-universal behavior of amorphous solids has been attributed to the existence of spatially-localized tunneling defects found in the low-energy regions of the potential energy landscape. Computational models of…

Disordered Systems and Neural Networks · Physics 2023-01-05 Felix C. Mocanu , Ludovic Berthier , Simone Ciarella , Dmytro Khomenko , David R. Reichman , Camille Scalliet , Francesco Zamponi

A real space Renormalization Group approach is presented for a non-mean field spin-glass. This approach has been conceived in the effort to develop an alternative method to the Renormalization Group approaches based on the replica method.…

Disordered Systems and Neural Networks · Physics 2014-09-09 Michele Castellana

Glassy systems are ubiquitous in nature, and are characterized by slow relaxations to equilibrium without a typical timescale, aging and memory effects. Understanding these is a long-standing problem in physics. We study the aging of the…

Disordered Systems and Neural Networks · Physics 2009-11-30 Ariel Amir , Yuval Oreg , Yoseph Imry

We study a chain of identical glassy systems in a constrained equilibrium where each bond of the chain is forced to remain at a preassigned distance to the previous one. We apply this description to Mean Field Glassy systems in the limit of…

Statistical Mechanics · Physics 2016-03-08 Silvio Franz , Giorgio Parisi

In the quest to understand how structure and dynamics are connected in glasses, a number of machine learning based methods have been developed that predict dynamics in supercooled liquids. These methods include both increasingly complex…

Soft Condensed Matter · Physics 2022-06-08 Rinske M. Alkemade , Emanuele Boattini , Laura Filion , Frank Smallenburg

Examples of glasses are abundant, yet it remains one of the phases of matter whose understanding is very elusive. In recent years, remarkable experiments have been performed on the dynamical aspects of glasses. Electron glasses offer a…

Disordered Systems and Neural Networks · Physics 2017-08-23 Ariel Amir , Yuval Oreg , Yoseph Imry

In many mean-field glassy systems, the low-temperature Gibbs measure is dominated by exponentially many metastable states. We analyze the evolution of the metastable states as temperature changes adiabatically in the solvable case of the…

Disordered Systems and Neural Networks · Physics 2012-07-09 YiFan Sun , Andrea Crisanti , Florent Krzakala , Luca Leuzzi , Lenka Zdeborová

At low temperatures the dynamical degrees of freedom in amorphous solids are tunnelling two-level systems (TLSs). Concentrating on these degrees of freedom, and taking into account disorder and TLS-TLS interactions, we obtain a "TLS-glass",…

Disordered Systems and Neural Networks · Physics 2020-07-27 Ofek Asban , Ariel Amir , Yoseph Imry , Moshe Schechter