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The statistical mechanics of simple glass forming systems in 2 dimensions is worked out. The glass disorder is encoded via a Voronoi tessellation, and the statistical mechanics is performed directly in this encoding. The theory provides,…

Statistical Mechanics · Physics 2007-05-23 H. G. E. Hentschel , Valery Ilyin , Nataliya Makedonska , Itamar Procaccia , Nurith Schupper

At temperatures well below their glass transition, the deformation properties of bulk metallic glasses are characterised by a sharp transition from elasticity to plasticity, a reproducible yield stress, and an approximately linear decrease…

Soft Condensed Matter · Physics 2013-11-18 P. M. Derlet , R. Maaß

We have measured the thermal conductivity of glassy glycerol between 1.5 K and 100 K, as well as the specific heat of both glassy and crystalline phases of glycerol between 0.5 K and 25 K. We discuss both low-temperature properties of this…

Disordered Systems and Neural Networks · Physics 2009-11-07 C. Talon , Q. W. Zou , M. A. Ramos , R. Villar , S. Vieira

Substitutional defects in a cubic symmetry (such as a lithium defect in a KCl host crystal) can be modeled appropriately by an eight-state-system. Usually this tunneling degree of freedom is approximated by a two-level-system. We…

Disordered Systems and Neural Networks · Physics 2009-10-30 P. Nalbach , O. Terzidis

The dramatic dynamic slowing down associated with the glass transition is considered by many to be related to the existence of a static length scale that grows when temperature decreases. Defining, identifying and measuring such a length is…

Statistical Mechanics · Physics 2014-05-29 Giulio Biroli , Smarajit Karmakar , Itamar Procaccia

In this chapter, a study of the glass transitions in colloidal systems is presented, in connection with gelation, mainly from theoretical and simulation results. Mode Coupling Theory, which anticipated the existence of attraction driven…

Soft Condensed Matter · Physics 2008-10-06 Antonio M. Puertas , Matthias Fuchs

Glass-forming liquids have only a modest tendency to crystallize and hence their dynamics can be studied even below the melting temperature. The relaxation dynamics of most of these liquids shows at a temperature $T_c$, somewhat above the…

Soft Condensed Matter · Physics 2025-01-17 Francesco Rusciano , Raffaele Pastore , Francesco Greco , Walter Kob

At very low temperatures, the tunnelling theory for amorphous solids predicts a thermal conductivity $\kappa\propto T^p$, with $p = 2$. We have studied the effect of the Nuclear Quadrupole moment on the thermal conductivity of glasses at…

Disordered Systems and Neural Networks · Physics 2008-11-11 Alireza Akbari

Glass-to-glass and liquid-to-liquid phase transitions were observed many years ago in bulk and confined water with or without applied pressure. It is shown that they result from the competition of two-liquid phases separated by an enthalpy…

Disordered Systems and Neural Networks · Physics 2017-03-21 Robert F Tournier

In this work we extend, review and jointly discuss earlier experiments conducted by us in hyperaged geological glasses, either in Dominican amber (20 million years old) or in Spanish amber from El Soplao (110 million years old). After…

Disordered Systems and Neural Networks · Physics 2016-04-27 Tomás Pérez-Castañeda , Rafael J. Jiménez-Riobóo , Miguel A. Ramos

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

It is frequently observed that even at very low temperatures the number of quasiparticles in superconducting materials is higher than predicted by standard BCS-theory. These quasiparticles can interact with two-level systems, such as…

Mesoscale and Nanoscale Physics · Physics 2016-01-18 Sebastian Zanker , Michael Marthaler , Gerd Schön

We study a controlled large-$N$ theory of electrons coupled to dynamical two-level systems (TLSs) via spatially-random interactions. Such a physical situation arises when electrons scatter off low-energy excitations in a metallic glass,…

Strongly Correlated Electrons · Physics 2024-06-11 Noga Bashan , Evyatar Tulipman , Jörg Schmalian , Erez Berg

We discuss the metastate, a probability measure on thermodynamic states, and its usefulness in addressing difficult questions pertaining to the statistical mechanics of systems with quenched disorder, in particular short-range spin glasses.…

Disordered Systems and Neural Networks · Physics 2007-05-23 C. M. Newman , D. L. Stein

We discuss the recent theory of Burin and Kagan that attempts to explain the existence of universal low temperature properties in amorphous solids. We suggest a realistic experimental scenario that could be used to test the theory. We…

Condensed Matter · Physics 2007-05-23 David R. Reichman , Peter Neu , Robert J. Silbey

THz spectroscopy is used to identify a broad distribution of two-level systems, characteristic of glasses, in the substitutional monatomic mixed crystal systems, Ba_{1-x}Ca_xF_2 and Pb_{1-x}Ca_xF_2. In these minimally disordered systems,…

Disordered Systems and Neural Networks · Physics 2007-11-13 J. P. Wrubel , B. E. Hubbard , N. I. Agladze , A. J. Sievers , P. P. Fedorov , D. I. Klimenchenko , A. I. Ryskin , J. A. Campbell

Simulations on a Lennard-Jones computer glass are performed to study effects arising from defects in glasses at low temperatures. The numerical analysis reveals that already a low concentration of defects may dramatically change the low…

Statistical Mechanics · Physics 2009-10-30 Andreas Heuer , Peter Neu

Parasitic two-level tunneling systems (TLS) emerge in amorphous dielectrics and constitute a serious nuisance for various microfabricated devices, where they act as a source of noise and decoherence. Here, we demonstrate a new test bed for…

Superconductivity · Physics 2017-09-19 Jan David Brehm , Alexander Bilmes , Georg Weiss , Alexey V. Ustinov , Jürgen Lisenfeld

Quantum tunneling often allows pathways to relaxation past energy barriers which are otherwise hard to overcome classically at low temperatures. However, this is not always the case. In this paper we provide simple exactly solvable examples…

Strongly Correlated Electrons · Physics 2014-10-10 Claudio Castelnovo , Claudio Chamon

Despite their technological relevance, a full microscopic understanding of glasses is still lacking. This applies even more to their surfaces whose properties largely differ from that of the bulk material. Here, we experimentally…

Soft Condensed Matter · Physics 2022-11-23 Li Tian , Clemens Bechinger
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