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Related papers: Glass-forming liquids: One or more "order" paramet…

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The formation of bulk metallic glass requires the constituent elements to have a negative heat of mixing but has no restrictions on its magnitude. An understanding of this issue is lacking due to the absence of a valid method for describing…

Materials Science · Physics 2023-05-10 Song Ling Liu , Xin Yu Luo , Jing Shan Cao , Zhao Yuan Liu , Bei Bei Xu , Yong Hao Sun , Weihua Wang

We discuss a novel approach, the point-to-set correlation functions, that allows to determine relevant static and dynamic length scales in glass-forming liquids. We find that static length scales increase monotonically when the temperature…

Disordered Systems and Neural Networks · Physics 2013-07-04 Walter Kob , Sandalo Roldan-Vargas , Ludovic Berthier

A thermodynamic measure of the fragility of liquids has recently (Ito et al ref.1) been defined in terms of the temperature dependence of the excess entropy of liquid over crystal, scaled by the excess entropy at the glass transition…

Disordered Systems and Neural Networks · Physics 2007-05-23 L. -M. Martinez , C. A. Angell

We present a new purely equilibrium microscopic approach to the description of liquid-glass transition in terms of space symmetry breaking of three- and four-particle distribution functions in the cases of two and three dimensions,…

Statistical Mechanics · Physics 2007-05-23 Elena Tareyeva , Valentin Ryzhov

While lot of measurements describe the relaxation dynamics of the liquid state, experimental data of the glass dynamics at high temperatures are much scarcer. We use ultrafast scanning calorimetry to expand the timescales of the glass to…

There is a common view in thermodynamics that the behavior of a macroscopic system can be described by only a few state variables. Although this is true for many cases, it is unclear whether it is meaningful to ask how many state variables…

Statistical Mechanics · Physics 2022-01-05 Koun Shirai

We study thermodynamic formalism of dynamical systems with non-uniform structure. Precisely, we obtain the uniqueness of equilibrium states for a family of non-uniformly expansive flows by generalizing Climenhaga-Thompson's orbit…

Dynamical Systems · Mathematics 2025-04-18 Tianyu Wang , Weisheng Wu

Recent literature indicates that attractive interactions between particles of a dense liquid play a secondary role in determining its bulk mechanical properties. Here we show that, in contrast with their apparent unimportance to the bulk…

Soft Condensed Matter · Physics 2021-02-11 Karina González-López , Mahajan Shivam , Yuanjian Zheng , Massimo Pica Ciamarra , Edan Lerner

We study by Molecular Dynamics simulation a dense one-component system of particles confined on a spherical substrate. We more specifically investigate the evolution of the structural and dynamical properties of the system when changing the…

Soft Condensed Matter · Physics 2018-05-23 Julien-Piera Vest , Gilles Tarjus , Pascal Viot

A core-softened model of a glass forming fluid is numerically studied in the limit of very low temperatures. The model shows two qualitatively different behaviors depending on the strength of the attraction between particles. For no or low…

Statistical Mechanics · Physics 2009-11-07 E. A. Jagla

The structure, thermodynamics and slow activated dynamics of the equilibrated metastable regime of glass-forming fluids remains a poorly understood problem of high theoretical and experimental interest. We apply a highly accurate…

Soft Condensed Matter · Physics 2024-08-21 Subhashish Chaki , Baicheng Mei , Kenneth S. Schweizer

Thermodynamic multi-component solution solidification approach to liquid-to-glass transition is proposed and actual mechanisms underlying vitrification, other than viscous slowdown, are identified. Due to polydisperse aggregation in liquid…

Materials Science · Physics 2022-09-14 Vladimir Belostotsky

Although density functional theory provides reliable predictions for the static properties of simple fluids under confinement, a theory of comparative accuracy for the transport coefficients has yet to emerge. Nonetheless, there is evidence…

A fluctuation relation is derived to extract the order parameter function $q(x)$ in weakly ergodic systems. The relation is based on measuring and classifying entropy production fluctuations according to the value of the overlap $q$ between…

Statistical Mechanics · Physics 2018-05-11 A. Crisanti , M. Picco , F. Ritort

We investigate the role of the four viscosity parameters, in fluids where the particles possess a microstructure (micropolar flows) and are allowed to rotate in a two-dimensional setting. We first establish the existence of global finite…

Analysis of PDEs · Mathematics 2026-05-18 Lorenzo Brandolese , Adriana Valentina Busuioc , Dragos Iftimie , Cilon F. Perusato

We first present a comparative analysis of temperature evolution of the excess thermodynamic potentials (state functions), the enthalpy $\Delta H$, entropy $\Delta S$ and Gibbs free energy $\Delta \Phi$, determined for \textit{i})…

Disordered Systems and Neural Networks · Physics 2025-07-04 A. S. Makarov , R. A. Konchakov , N. P. Kobelev , V. A. Khonik

The behaviour of a model glass forming liquid is analyzed for a range of densities, with a focus on the temperature interval where the liquid begins to display non-Arrhenius temperature dependence of relaxation times. Analyzing the dynamics…

Statistical Mechanics · Physics 2007-05-23 Srikanth Sastry

The concept of the order parameter is extremely useful in physics. Here, I discuss extensions of this concept to cases when the order parameter is no longer a constant but fluctuates or oscillates in space and time. This allows one to…

Strongly Correlated Electrons · Physics 2019-12-20 Konstantin B. Efetov

If a liquid is cooled rapidly to form a glass, its structural relaxation becomes retarded, producing a drastic increase in viscosity. In two dimensions, strong long-wavelength fluctuations persist, even at low temperature, making it…

Soft Condensed Matter · Physics 2019-12-25 Hayato Shiba , Takeshi Kawasaki , Kang Kim

The study of spin-glass dynamics, long considered the paradigmatic complex system, has reached important milestones. The availability of single crystals has allowed the experimental measurement of spin-glass coherence lengths of almost…