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Comment on Nature Physics 8, 164 (2012) by Kob, Roldan-Vargas and Berthier

Statistical Mechanics · Physics 2015-06-11 Elijah Flenner , Grzegorz Szamel

This is our reply to the comment by Sausset and Tarjus (arXiv:0802.1631) on our paper titled "Correlation between Dynamic Heterogeneity and Medium-Range Order in Two-Dimensional Glass-Forming Liquids" [Phys. Rev. Lett. Vol. 99, No. 21,…

Statistical Mechanics · Physics 2008-02-18 Takeshi Kawasaki , Takeaki Araki , Hajime Tanaka

The breakdown of dynamical scaling for a dilute polymer solution in 2D has been suggested by Shannon and Choy [Phys. Rev. Lett. {\bf 79}, 1455 (1997)]. However, we show here both numerically and analytically that dynamical scaling holds…

Soft Condensed Matter · Physics 2009-11-10 E. Falck , O. Punkkinen , I. Vattulainen , T. Ala-Nissila

We numerically obtain the first quantitative demonstration that development of spatial correlations of mobility as temperature is lowered is responsible for the ``decoupling'' of transport properties of supercooled liquids. This result…

Statistical Mechanics · Physics 2009-11-10 Ludovic Berthier

In this work we numerically investigate a new method for the characterization of growing length scales associated with spatially heterogeneous dynamics of glass-forming liquids. This approach, motivated by the formulation of the…

Disordered Systems and Neural Networks · Physics 2013-10-28 Kang Kim , Shinji Saito , Kunimasa Miyazaki , Giulio Biroli , David R. Reichman

We show that in the equilibrium phase of glass-forming hard-sphere fluids in three dimensions, the static length scales tentatively associated with the dynamical slowdown and the dynamical length characterizing spatial heterogeneities in…

Disordered Systems and Neural Networks · Physics 2013-04-16 Patrick Charbonneau , Gilles Tarjus

In two recent interesting letters evidence was presented for the existence of a growing dynamic correlation length when we approach the glass transition from the liquid phase (a similar divergence is present also in the off-equilibrium…

Statistical Mechanics · Physics 2007-05-23 S. Franz , G. Parisi

Understanding glass formation is a challenge because the existence of a true glass state, distinct from liquid and solid, remains elusive: Glasses are liquids that have become too viscous to flow. An old idea, as yet unproven…

This is a commentary on two recent experimental papers in PNAS by Vivek et al. and Illing et al. that convincingly address an issue at the junction of two fundamental questions in glass physics: the role of the dimensionality of space on…

Statistical Mechanics · Physics 2022-06-08 Gilles Tarjus

We discuss the slow, nonequilibrium, dynamics of spin glasses in their glassy phase. We briefly review the present theoretical understanding of the spectacular phenomena observed in experiments and describe new numerical results obtained in…

Disordered Systems and Neural Networks · Physics 2009-11-10 Ludovic Berthier , A. P. Young

We investigate the characteristic length scales associated with the glass transition phenomenon. By studying an atomic glass-forming liquid in negatively curved space, for which the local order is well identified and the amount of…

Statistical Mechanics · Physics 2010-02-10 François Sausset , Gilles Tarjus

Over times shorter than that required for relaxation of enthalpy, a liquid can exhibit striking heterogeneities. The picture of these heterogeneities is complex with transient patches of rigidity, irregular yet persistent, intersected by…

Soft Condensed Matter · Physics 2010-09-30 Peter Harrowell

We study theoretically and numerically a family of multi-point dynamic susceptibilities that quantify the strength and characteristic lengthscales of dynamic heterogeneities in glass-forming materials. We use general theoretical arguments…

We report molecular-dynamics simulations on a three-dimensional two-component Lennard-Jones fluid. We identify two distinct static length scales. The longer length scale, which diverges at low temperatures, is continuous with the…

Soft Condensed Matter · Physics 2007-05-23 Paul C. Whitford , George D. J. Phillies

We present {\it block analysis}, an efficient method to perform finite-size scaling for obtaining the length scale of dynamic heterogeneity and the point-to-set length scale for generic glass-forming liquids. This method involves…

Soft Condensed Matter · Physics 2017-11-22 Saurish Chakrabarty , Indrajit Tah , Smarajit Karmakar , Chandan Dasgupta

Dynamic heterogeneity in glass-formers has been related to their static structure using the concept of dynamic propensity. We re-examine this relationship by analyzing dynamical fluctuations in two atomistic glass-formers and two…

Statistical Mechanics · Physics 2009-08-25 Ludovic Berthier , Robert L. Jack

The existence of heterogeneity in the dynamics of supercooled liquids is believed to be one of the hallmarks of the glass transition. Intense research has been carried out in the past to understand the origin of this heterogeneity in…

Soft Condensed Matter · Physics 2020-07-01 Indrajit Tah , Smarajit Karmakar

The formulation of the mean-field, infinite-dimensional solution of hard sphere glasses is a significant milestone for theoretical physics. How relevant this description might be for understanding low-dimensional glass-forming liquids,…

Statistical Mechanics · Physics 2022-05-03 Patrick Charbonneau , Yi Hu , Joyjit Kundu , Peter K. Morse

We first reproduce on the Janus and Janus II computers a milestone experiment that measures the spin-glass coherence length through the lowering of free-energy barriers induced by the Zeeman effect. Secondly we determine the scaling…

Understanding the mechanical properties of glasses remains elusive since the glass transition itself is not fully understood, even in well studied examples of glass formers in two dimensions. In this context we demonstrate here: (i) a…

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