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

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We analyse numerically thermal fluctuations of the static overlap between equilibrium configurations in a glass-forming liquid approaching the glass transition. We find that the emergence of slow dynamics near the onset temperature…

Statistical Mechanics · Physics 2013-08-23 Ludovic Berthier

In amorphous solids at finite temperatures the particles follow chaotic trajectories which, at temperatures sufficiently lower than the glass transition, are trapped in "cages". Averaging their positions for times shorter than the diffusion…

Statistical Mechanics · Physics 2019-12-11 Prasenjit Das , Valery Ilyin , Itamar Procaccia

The understanding of thermodynamic glass transition has been hindered by the lack of proper models beyond mean-field theories. Here, we propose a three-dimensional lattice glass model on a simple cubic lattice that exhibits the typical…

Statistical Mechanics · Physics 2020-08-07 Yoshihiko Nishikawa , Koji Hukushima

It is widely believed that the underlying reality behind statistical mechanics is a deterministic and unitary time evolution of a many-particle wave function, even though this is in conflict with the irreversible, stochastic nature of…

Statistical Mechanics · Physics 2017-05-16 Barbara Drossel

The glass-forming ability (GFA) of alloys, colloidal dispersions, and other particulate materials, as measured by the critical cooling rate $R_c$, can span more than ten orders of magnitude. Even after numerous previous studies, the…

Materials Science · Physics 2022-07-06 Yuan-Chao Hu , Weiwei Jin , Jan Schroers , Mark D. Shattuck , Corey S. O'Hern

A novel order parameter $\Phi$ for spin glasses is defined based on topological criteria and with a clear physical interpretation. $\Phi$ is first investigated for well known magnetic systems and then applied to the Edwards-Anderson $\pm J$…

Disordered Systems and Neural Networks · Physics 2009-11-11 F. Roma , F. Nieto , A. J. Ramirez-Pastor , E. E. Vogel

The linear stability analysis of an optically thin plasma where a general reaction proceeds, including chemical relaxation time effects, is carried out . A fifth order dispersion equation (instead of the fourth order one resulting when such…

Astrophysics · Physics 2007-05-23 Miguel H. Iba~nez S.

We explore the nature of glass-formation in variable spatial dimensionality ($d$) based on the generalized entropy theory, a synthesis of the Adam-Gibbs model with direct computation of the configurational entropy of polymer fluids using an…

Soft Condensed Matter · Physics 2016-11-09 Wen-Sheng Xu , Jack F. Douglas , Karl F. Freed

In the present study, we focus on the parity of the order parameters and clarify the order formation process in a system including two order parameters. Each order parameter shows each different parity under a gauge transformation, namely…

Statistical Mechanics · Physics 2014-03-10 Yoichiro Hashizume , Masuo Suzuki , Soichiro Okamura

The slow down of dynamics in glass forming liquids as the glass transition is approached has been characterised through the Adam-Gibbs relation, which relates relaxation time scales to the configurational entropy. The Adam-Gibbs relation…

Soft Condensed Matter · Physics 2018-05-24 Anshul D. S. Parmar , Shiladitya Sengupta , Srikanth Sastry

The glass-forming ability is an important material property for manufacturing glasses and understanding the long-standing glass transition problem. Because of the nonequilibrium nature, it is difficult to develop the theory for it. Here we…

Soft Condensed Matter · Physics 2021-01-26 Yunhuan Nie , Jun Liu , Jialing Guo , Ning Xu

We derive a class of thermodynamically consistent variants of Maxwell/Oldroyd-B type models for viscoelastic fluids. In particular, we study the models that allow one to consider temperature dependent material coefficients. This naturally…

Fluid Dynamics · Physics 2017-07-12 Jaroslav Hron , Vojtěch Miloš , Vít Průša , Ondřej Souček , Karel Tůma

We present two rigorous results on the Sherrington-Kirkpatrick mean field model for spin glasses, proven by elementary methods, based on properties of fluctuations, with respect to the external quenched noise, of the thermodynamic variables…

Disordered Systems and Neural Networks · Physics 2012-12-13 Francesco Guerra

We define a correlation function that quantifies the spatial correlation of single-particle displacements in liquids and amorphous materials. We show for an equilibrium liquid that this function is related to fluctuations in a bulk…

Soft Condensed Matter · Physics 2009-10-31 Claudio Donati , Sharon C. Glotzer , Peter H. Poole

Crystallization kinetics has features that are universal and independent of the type of crystallized system. The possibility of using scaling relations to describe the temperature dependences of the surface self-diffusion coefficient $D_s$,…

Materials Science · Physics 2020-01-07 Anatolii V. Mokshin , Bulat N. Galimzyanov , Dinar T. Yarullin

We present a comprehensive theoretical study of finite size effects in the relaxation dynamics of glass-forming liquids. Our analysis is motivated by recent theoretical progress regarding the understanding of relevant correlation length…

Statistical Mechanics · Physics 2012-09-12 Ludovic Berthier , Giulio Biroli , Daniele Coslovich , Walter Kob , Cristina Toninelli

Thermal gradients lead to macroscopic fluid motion if a confining surface is present along the gradient. This fundamental nonequilibrium effect, known as thermo-osmosis, is held responsible for particle thermophoresis in colloidal…

Statistical Mechanics · Physics 2019-07-17 Pietro Anzini , Gaia Maria Colombo , Zeno Filiberti , Alberto Parola

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

When liquids are classified using Tg -scaled Arrhenius plots of relaxation times (or relative rates of entropy increase above Tg) across a "strong-fragile" spectrum of behaviors, the "strong" liquids have always appeared rather…

Soft Condensed Matter · Physics 2015-06-12 C. Austen Angell , Mahin Hemmati

A combination of classical density-functional theory and thermodynamic perturbation theory is applied to a survey of finite-temperature trends in the relative stabilities of one-component crystals and quasicrystals interacting via effective…

Materials Science · Physics 2009-10-30 A. R. Denton , J. Hafner
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