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The description of molecular motion by macroscopic hydrodynamics has a long and continuing history. The Stokes-Einstein relation between the diffusion coefficient of a solute and the solvent viscosity predicted using macroscopic continuum…

Disordered Systems and Neural Networks · Physics 2007-05-23 Xiaoyu Xia , Peter G. Wolynes

While deeply supercooled liquids exhibit divergent viscosity and increasingly heterogeneous dynamics as the temperature drops, their structure shows only seemingly marginal changes. Understanding the nature of relaxation processes in this…

Materials Science · Physics 2022-11-03 Matthias Lerbinger , Armand Barbot , Damien Vandembroucq , Sylvain Patinet

When liquids are cooled sufficiently rapidly below their melting temperature, they may bypass crystalization and, instead, enter a long-lived metastable supercooled state that has long been the focus of intense research. Although they…

Statistical Mechanics · Physics 2023-12-05 Zohar Nussinov

We use dynamic light scattering and computer simulations to study equilibrium dynamics and dynamic heterogeneity in concentrated suspensions of colloidal hard spheres. Our study covers an unprecedented density range and spans seven decades…

Recent experiments and computer simulations show that supercooled liquids around the glass transition temperature are "dynamically heterogeneous" [1]. Such heterogeneity is expected from the random first order transition theory of the glass…

Disordered Systems and Neural Networks · Physics 2009-10-31 Xiaoyu Xia , Peter G. Wolynes

We study a kinetically constrained lattice glass model in which continuous local densities are randomly redistributed on neighbouring sites with a kinetic constraint that inhibits the process at high densities, and a random bias accounting…

Disordered Systems and Neural Networks · Physics 2007-05-23 Eric Bertin , Jean-Philippe Bouchaud , Francois Lequeux

We present molecular dynamics results for a two component, two-dimensional Lennard-Jones supercooled liquid near the glass transition. We find that the supercooled liquid is spatially heterogeneous and that there are long-lived clusters…

Disordered Systems and Neural Networks · Physics 2009-10-31 Gregory Johnson , Andrew I. Melcuk , Harvey Gould , W. Klein , Raymond D. Mountain

Transitions between metabasins in supercooled liquids seem to occur through rapid "democratic" collective particle rearrangements. Here we show that this apparent homogeneous particle motion is a direct consequence of dynamic facilitation.…

Statistical Mechanics · Physics 2008-07-31 Lester O. Hedges , Juan P. Garrahan

A model glass with fast and slow processes is studied. The statics is simple and the facilitated slow dynamics is exactly solvable. The main features of a fragile glass take place: Kauzmann transition, Vogel-Fulcher law, Adam-Gibbs relation…

Statistical Mechanics · Physics 2009-11-07 L. Leuzzi , Th. M Nieuwenhuizen

Facilitated spin models on random graphs provide an ideal microscopic realization of the mode-coupling theory of supercooled liquids: they undergo a purely dynamic glass transition with no thermodynamic singularity. In this paper we study…

Statistical Mechanics · Physics 2015-06-11 Silvio Franz , Mauro Sellitto

Dynamic heterogeneity is now recognised as a central aspect of structural relaxation in disordered materials with slow dynamics, and was the focus of intense research in the last decade. Here we describe how initial, indirect observations…

Statistical Mechanics · Physics 2010-09-28 Ludovic Berthier , Giulio Biroli , Jean-Philippe Bouchaud , Robert L Jack

Particles undergoing Fickian diffusion within smooth energy landscapes exhibit Gaussian statistics. However, this Gaussian behavior is often elusive in complex liquids, where particle dynamics within spontaneously fluctuating or…

Soft Condensed Matter · Physics 2025-11-12 Vinay Vaibhav , Tamoghna Das , Suman Dutta

A system is glassy when the observation time is much smaller than the equilibration time. A unifying thermodynamic picture of the glassy state is presented. Slow configurational modes are in quasi-equilibrium at an effective temperature. It…

Statistical Mechanics · Physics 2009-10-31 Th. M. Nieuwenhuizen

We use computer simulations to explore the manner in which the particle displacements on intermediate time scales in supercooled fluids correlate to their dynamic structural environment. The fluid we study, a binary mixture of hard spheres,…

Soft Condensed Matter · Physics 2010-05-11 William P. Krekelberg , Venkat Ganesan , Thomas M. Truskett

We report a molecular dynamics simulation of a supercooled simple monatomic glass-forming liquid. It is found that the onset of the supercooled regime results in formation of distinct domains of slow diffusion which are confined to the…

Disordered Systems and Neural Networks · Physics 2009-11-07 Mikhail Dzugutov , Sergei I. Simdyankin , Fredrik H. M. Zetterling

In order to provide a formally correct thermodynamical description of inhomogeneous fluids valid on all length scales down to the classical limit we postulate that all extensive quantities have locally extensive analogues. We derive local…

Statistical Mechanics · Physics 2016-08-14 Aljaž Godec , Janko Jamnik , Franci Merzel

Vortex dynamics in fermionic superfluids is carefully considered from the microscopic point of view. Finite temperatures, as well as impurities, are explicitly incorporated. To enable readers understand the physical implications,…

Condensed Matter · Physics 2009-10-31 P. Ao , X. -M. Zhu

Thermodynamic effects of local structure fluctuations in glassformers are analyzed in terms of energy basins and inter-basin hopping. Depending on the time-scale of measurement, one observes short-time thermodynamic properties related to a…

Statistical Mechanics · Physics 2007-05-23 Alexander Z. Patashinski , Mark A. Ratner

When applied to binary solutions, thermal gradients lead to the generation of concentration-gradients and thus to inhomogeneous systems. While being known for more than 150 years, the molecular origins for this phenomenon are still debated,…

Soft Condensed Matter · Physics 2023-12-21 Mario Araujo-Rocha , Alejandro Diaz-Marquez , Guillaume Stirnemann

We formulate theoretical modeling approaches and develop practical computational simulation methods for investigating the non-equilibrium statistical mechanics of fluid interfaces with passive and active immersed particles. Our approaches…

Soft Condensed Matter · Physics 2024-10-03 Dev Jasuja , Paul J. Atzberger
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