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Rapid cooling of liquids below a certain temperature range can result in a transition to glassy states. The traditional understanding of glasses includes their thermodynamic metastability with respect to crystals. However, here we present…

Statistical Mechanics · Physics 2016-12-12 G. Zhang , F. H. Stillinger , S. Torquato

The problems of the intermediate-range atomic structure of glasses and of the mechanism for the glass transition are approached from the low-temperature end in terms of a scenario for the atomic organization that justifies the use of an…

Mesoscale and Nanoscale Physics · Physics 2017-05-30 Giancarlo Jug

The Gilroy-Phillips model of relaxational jumps in asymmetric double-well potentials, developed for the Arrhenius-type secondary relaxations of the glass phase, is extended to a formal description of the breakdown of the shear modulus at…

Disordered Systems and Neural Networks · Physics 2007-05-23 U. Buchenau

We show that the slowing of the dynamics in simulations of several model glass-forming liquids is equivalent to the hard-sphere glass transition in the low-pressure limit. In this limit, we find universal behavior of the relaxation time by…

Soft Condensed Matter · Physics 2009-12-17 Ning Xu , Thomas K. Haxton , Andrea J. Liu , Sidney R. Nagel

In the context of a classical example of glass-formation in 3-dimensions we exemplify how to construct a statistical mechanical theory of the glass transition. At the heart of the approach is a simple criterion for verifying a proper choice…

Statistical Mechanics · Physics 2009-11-13 Edan Lerner , Itamar Procaccia , Jacques Zylberg

We study Harmonic Soft Spheres as a model of thermal structural glasses in the limit of infinite dimensions. We show that cooling, compressing and shearing a glass lead to a Gardner transition and, hence, to a marginally stable amorphous…

Disordered Systems and Neural Networks · Physics 2018-05-02 Giulio Biroli , Pierfrancesco Urbani

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 analyze the Helmholtz equation in a complex domain. A sound absorbing structure at a part of the boundary is modelled by a periodic geometry with periodicity $\varepsilon>0$. A resonator volume of thickness $\varepsilon$ is connected…

Analysis of PDEs · Mathematics 2020-06-05 Patrizia Donato , Agnes Lamacz , Ben Schweizer

We propose that an onset of glass transition can be defined as the point at which a supercooled liquid acquires the stress relaxation mechanism of a solid glass. We translate this condition into the rate equation for local relaxation…

Materials Science · Physics 2009-11-11 Kostya Trachenko

We solve exactly and describe in detail a simplified scalar model for the low frequency shear rheology of foams, emulsions, slurries, etc. [P. Sollich, F. Lequeux, P. Hebraud, M.E. Cates, Phys. Rev. Lett. 78, 2020 (1997)]. The model…

Soft Condensed Matter · Physics 2007-05-23 Peter Sollich

The similarity in atomic structure between liquids and glasses has stimulated a long-standing hypothesis that the nature of glasses may be more fluid like, rather than an apparent solid. In principle, the nature of glasses can be…

Disordered Systems and Neural Networks · Physics 2022-02-03 Shuangxi Song , Fan Zhu , Mingwei Chen

In the vicinity of the glass transition, the characteristic relaxation time (e.g., the alpha-relaxation time in dielectric spectroscopy) of a glass-former exhibits a strongly super-Arrhenius temperature dependence, as compared to the…

Disordered Systems and Neural Networks · Physics 2026-04-16 Valeriy V. Ginzburg , Oleg Gendelman , Riccardo Casalini , Alessio Zaccone

We construct a linear response theory of applying shear deformations from boundary walls in the film geometry in Kubo's theoretical scheme. Our method is applicable to any solids and fluids. For glasses, we assume quasi-equilibrium around a…

Soft Condensed Matter · Physics 2018-12-27 Akira Onuki , Takeshi Kawasaki

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

In a recent publication we established an analogy between the free energy of a hard sphere system and the energy of an elastic network [1]. This result enables one to study the free energy landscape of hard spheres, in particular to define…

Disordered Systems and Neural Networks · Physics 2007-08-08 Carolina Brito , Matthieu Wyart

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 formulate the generalized tunneling model for two level systems in insulators that takes into account the interaction between them and a slow power law dependence of their density of states. We show that the predictions of this model are…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Lara Faoro , Lev B. Ioffe

An analytical framework is proposed to describe the elasticity, viscosity and fragility of metallic glasses in relation to their atomic-level structure and the effective interatomic interaction. The bottom-up approach starts with forming an…

Soft Condensed Matter · Physics 2016-08-15 Alexandra E. Lagogianni , Johannes Krausser , Zach Evenson , Konrad Samwer , A Zaccone

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

To study the cooling behavior and the glass transition of polymer melts in bulk and with free surfaces a coarse-grained weakly semi-flexible polymer model is developed. Based on a standard bead spring model with purely repulsive…

Soft Condensed Matter · Physics 2019-09-09 Hsiao-Ping Hsu , Kurt Kremer