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The glass transition, extensively studied in dense fluids, polymers, or colloids, corresponds to a dramatic evolution of equilibrium transport coefficients upon a modest change of control parameter, like temperature or pressure. A similar…

Statistical Mechanics · Physics 2013-05-06 Ludovic Berthier , Jorge Kurchan

Tackling the low-temperature fate of supercooled liquids is challenging due to the immense timescales involved, which prevent equilibration and lead to the operational glass transition. Relating glassy behaviour to an underlying,…

Statistical Mechanics · Physics 2017-08-16 Francesco Turci , C. Patrick Royall , Thomas Speck

We study the nature of the glass transition by cooling model atomistic glass formers at constant rate from a temperature above the onset of glassy dynamics to $T=0$. Motivated by the East model, a kinetically constrained lattice model with…

Statistical Mechanics · Physics 2018-04-16 Alexander Hudson , Kranthi K. Mandadapu

The glass transition can simply be viewed as the point at which the viscosity of a structurally disordered liquid reaches 10^{13} Poise [1]. This definition is operational but it sidesteps fundamental controversies about the glass: Is the…

Statistical Mechanics · Physics 2017-05-10 Ludger Santen , Werner Krauth

In stark contrast with the conventional understanding of the glass transition, where the transition from glass to liquid appears as a dynamic process where atoms/molecules cooperatively relax into the equilibrium phase, we experimentally…

Disordered Systems and Neural Networks · Physics 2023-01-10 Ana Vila-Costa , Marta Gonzalez-Silveira , Cristian Rodríguez-Tinoco , Marta Rodríguez-López , Javier Rodríguez-Viejo

Many properties of solids such as the glass state are commonly treated as nonequilibrium phenomena, which involve many conceptual difficulties. However, few studies have addressed the problem of understanding equilibrium itself. Equilibrium…

Statistical Mechanics · Physics 2022-01-05 Koun Shirai

Topological defects are typically quantified relative to ordered backgrounds. The importance of these defects to the understanding of physical phenomena including diverse equilibrium melting transitions from low temperature ordered to…

Statistical Mechanics · Physics 2019-02-19 Z. Nussinov , N. B. Weingartner , F. S. Nogueira

The dynamical behavior of a kind of models with hierarchically constrained dynamics is investigated. The models exhibit many properties resembling real structural glasses. In particular, we focus on the study of time-dependent temperature…

Statistical Mechanics · Physics 2009-11-07 A. Prados , J. J. Brey

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 show that a glass transition, signaled by a peak in the specific heat vs. temperature, can occur because a glassy system that shows no signs of aging progresses so slowly through the energy landscape that the time needed to obtain an…

Disordered Systems and Neural Networks · Physics 2007-05-23 Clare C. Yu , Herve M. Carruzzo

Melt supercooling leads to glass formation. Liquid-to-liquid phase transitions are observed depending on thermal paths. Viscosity, density and surface tension thermal dependences measured at heating and subsequent cooling show hysteresis…

Materials Science · Physics 2016-12-21 Robert F. Tournier

We discuss the microscopic mechanisms by which low-temperature amorphous states, such as ultrastable glasses, transform into equilibrium fluids, after a sudden temperature increase. Experiments suggest that this process is similar to the…

Statistical Mechanics · Physics 2016-07-05 Robert L. Jack , Ludovic Berthier

Supercooled liquids exhibit spatial heterogeneity in the dynamics of their fluctuating atomic arrangements. The length and time scales of the heterogeneous dynamics are central to the glass transition and influence nucleation and growth of…

Materials Science · Physics 2018-05-09 Pei Zhang , Jason J. Maldonis , Ze Liu , Jan Schroers , Paul M. Voyles

Using a general model for the equilibrium dynamics of supercooled liquids, I compute from molecular properties the emergent length and time scales that govern the nonequilibrium relaxation behavior of amorphous ice prepared by rapid…

Statistical Mechanics · Physics 2015-06-18 David T. Limmer

Glass-to-glass and liquid-to-liquid phase transitions are observed in bulk and confined water, with or without applied pressure. They result from the competition of two liquid phases separated by an enthalpy difference depending on…

Disordered Systems and Neural Networks · Physics 2017-11-21 Robert F. Tournier

A key open question in the glass transition field is whether a finite temperature thermodynamic transition to the glass state exists or not. Recent simulations of coupled replicas in atomistic models have found signatures of a static…

Statistical Mechanics · Physics 2015-06-18 Juan P. Garrahan

We propose a scenario for the glass transition based on the cooperative nature of nucleation processes and entropic effects. The main point is the relation between the off-equilibrium energy dissipation and nucleation processes in…

Soft Condensed Matter · Physics 2009-11-07 A. Crisanti , F. Ritort

We consider the stationary state of a fluid comprised of inelastic hard spheres or disks under the influence of a random, momentum-conserving external force. Starting from the microscopic description of the dynamics, we derive a nonlinear…

Statistical Mechanics · Physics 2013-02-25 W. T. Kranz , M. Sperl , A. Zippelius

In this paper we investigate, both analytically and numerically, the emergence of a kinetic glass transition in two different model systems: a uniformly heated granular gas and a molecular fluid with nonlinear drag. Despite the profound…

Soft Condensed Matter · Physics 2024-04-25 A. Patrón , B. Sánchez-Rey , A. Prados

Due to nonuniform aggregation in liquid state, from the thermodynamic point of view any glass-forming liquid in the vicinity of the liquid-to-solid phase transition temperature, irrespective of its actual chemical composition, shall be…

Disordered Systems and Neural Networks · Physics 2021-03-18 Vladimir Belostotsky
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