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It is established that liquid metals exhibit surface layering at the liquid-vapor interface, while dielectric simple systems, like those interacting through Lennard-Jones potentials, show a monotonic decay from the liquid density to that of…

Disordered Systems and Neural Networks · Physics 2009-11-11 Luis E. Gonzalez , David J. Gonzalez

In trajectory space, dynamical heterogeneities in glass-forming liquids correspond to the emergence of a dynamical phase transition between an active phase poor in local structure and an inactive phase which is rich in local structure. We…

Soft Condensed Matter · Physics 2021-08-10 Francesco Turci , Thomas Speck , C. Patrick Royall

With molecular dynamics simulations of a fluid mixture of classical particles interacting with pair-wise additive Weeks-Chandler-Andersen potentials, we consider the time series of particle displacements and thereby determine distributions…

Statistical Mechanics · Physics 2011-11-10 Lester O. Hedges , Lutz Maibaum , David Chandler , Juan P. Garrahan

Motivated by a recently identified severe discrepancy between a static and a dynamic theory of glasses, we numerically investigate the behavior of dense hard spheres in spatial dimensions 3 to 12. Our results are consistent with the static…

Disordered Systems and Neural Networks · Physics 2011-10-28 Patrick Charbonneau , Atsushi Ikeda , Giorgio Parisi , Francesco Zamponi

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

A multi-time extension of a density correlation function is introduced to reveal temporal information about dynamical heterogeneity in glass-forming liquids. We utilize a multi-time correlation function that is analogous to the higher-order…

Soft Condensed Matter · Physics 2010-08-03 Kang Kim , Shinji Saito

The emergence of glassy dynamics and the glass transition in dense disordered systems is still not fully understood theoretically. Mode-coupling theory (MCT) has shown to be effective in describing some of the non-trivial features of glass…

Soft Condensed Matter · Physics 2021-07-20 Simone Ciarella , Chengjie Luo , Vincent E. Debets , Liesbeth M. C. Janssen

Three-body distribution functions in classical fluids have been theoretically investigated many times, but have never been measured directly. We present experimental three-point correlation functions that are computed from particle…

Soft Condensed Matter · Physics 2009-11-10 Carsten Russ , Klaus Zahn , Hans-Hennig von Grunberg

We investigate the calorimetric liquid-glass transition by performing simulations of a binary Lennard-Jones mixture in one through four dimensions. Starting at a high temperature, the systems are cooled to T=0 and heated back to the ergodic…

Disordered Systems and Neural Networks · Physics 2009-01-01 Ralf Brüning , Denis A. St-Onge , Steve Patterson , Walter Kob

The viscosity of glass-forming liquids increases by many orders of magnitude if their temperature is lowered by a mere factor of 2-3 [1,2]. Recent studies suggest that this widespread phenomenon is accompanied by spatially heterogeneous…

Disordered Systems and Neural Networks · Physics 2015-05-28 Walter Kob , Sandalo Roldan-Vargas , Ludovic Berthier

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

There is growing evidence that slow dynamics and dynamic heterogeneity possess structural signatures in glass-forming liquids. However, even in the weakly frustrated glass-forming liquids, whether or not the dynamic heterogeneity has a…

Soft Condensed Matter · Physics 2015-06-11 Wen-Sheng Xu , Zhao-Yan Sun , Li-Jia An

We describe spatio-temporal correlations and heterogeneities in a kinetically constrained glassy model, the Kob-Andersen model. The kinetic constraints of the model alone induce the existence of dynamic correlation lengths, that increase as…

Disordered Systems and Neural Networks · Physics 2009-11-10 Enzo Marinari , Estelle Pitard

Analysis of three-particle correlations is performed on the basis of simulation data of atomic dynamics in liquid and amorphous aluminium. A three-particle correlation function is introduced to characterize the relative positions of various…

Statistical Mechanics · Physics 2017-04-05 Bulat N. Galimzyanov , Anatolii V. Mokshin

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

Glass-forming liquids display strong fluctuations -- dynamical heterogeneities -- near their glass transition. By numerically simulating a binary Weeks-Chandler-Andersen liquid and varying both temperature and timescale, we investigate the…

Disordered Systems and Neural Networks · Physics 2011-08-15 Azita Parsaeian , Horacio E. Castillo

A simple model to investigate the long time dynamics of glass-formers is presented and applied to study a Lennard-Jones system in supercooled and glassy phases. According to our model, the point representing the system in the…

Disordered Systems and Neural Networks · Physics 2009-10-31 Luca Angelani , Giorgio Parisi , Giancarlo Ruocco , Gabriele Viliani

Framing the glass formation within standard statistical mechanics is an outstanding problem of condensed matter theory. To provide new insight, we investigate the structural properties of the Lennard-Jones fluid in the very-low temperature…

Statistical Mechanics · Physics 2026-02-02 Bomont Jean-Marc , Bretonnet Jean-Louis , Costa Dino , Pastore Giorgio

Identifying the conditions under which glass formation occurs is crucial for a fundamental understanding of the glass transition mechanism. Pure liquids devoid of any frustration avoid glass transition and undergo crystallization. In this…

Soft Condensed Matter · Physics 2026-03-04 Saumya Suvarna , Prabhat K. Jaiswal , Madhu Priya

We present a calculation of a fourth-order, time-dependent density correlation function that measures higher-order spatiotemporall correlations of the density of a liquid. From molecular dynamics simulations of a glass-forming Lennard-Jones…

Statistical Mechanics · Physics 2009-11-07 N. Lacevic , F. W. Starr , T. B. Schroder , V. N. Novikov , S. C. Glotzer