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Supercooled liquids are characterized by relaxation times that increase dramatically by cooling or compression. Many liquids have been shown to obey power-law density scaling, according to which the relaxation time is a function of density…

Soft Condensed Matter · Physics 2012-12-19 Lasse Bøhling , Trond S. Ingebrigtsen , A. Grzybowski , M. Paluch , Jeppe C. Dyre , Thomas B. Schrøder

We use molecular dynamics simulation results on viscous binary Lennard-Jones mixtures to examine the correlation between the potential energy and the virial. In accord with a recent proposal [U. R. Pedersen et. al. Phys. Rev. Lett. 100,…

Statistical Mechanics · Physics 2009-01-08 D. Coslovich , C. M. Roland

The recent theoretical prediction by Maimbourg and Kurchan [arXiv:1603.05023] that for regular pair-potential systems the virial potential-energy correlation coefficient increases towards unity as the dimension $d$ goes to infinity is…

Soft Condensed Matter · Physics 2017-01-04 Lorenzo Costigliola , Thomas B. Schrøder , Jeppe C. Dyre

This paper investigates the relation between the density-scaling exponent $\gamma$ and the virial potential-energy correlation coefficient $R$ at several thermodynamic state points in three dimensions for the generalized $(2n,n)$…

Soft Condensed Matter · Physics 2024-01-17 Ida M. Friisberg , Lorenzo Costigliola , Jeppe C. Dyre

The crucial problem for better understanding the nature of glass transition and related relaxation phenomena is to find proper interrelations between molecular dynamics and thermodynamics of viscous systems. To gain this aim the recently…

Soft Condensed Matter · Physics 2012-10-17 Andrzej Grzybowski , Kajetan Koperwas , Marian Paluch

This paper investigates two conjectures for calculating the density dependence of the density-scaling exponent of a single-component, pair-potential liquid with strong virial potential-energy correlations. The first conjecture gives an…

Soft Condensed Matter · Physics 2014-09-23 Lasse Bøhling , Nicholas P. Bailey , Thomas B. Schrøder , Jeppe C. Dyre

The dynamical correlations of a model consisting of particles constrained on the line and interacting with a nearest--neighbour Lennard--Jones potential are computed by molecular--dynamics simulations. A drastic qualitative change of the…

Statistical Mechanics · Physics 2009-11-11 Stefano Lepri , Paolo Sandri , Antonio Politi

Athermal plastic flows were simulated for the Kob-Andersen binary Lennard-Jones system and its repulsive version in which the sign of the attractive terms is changed to a plus. Properties evaluated from simulations at different densities…

Soft Condensed Matter · Physics 2014-11-25 Edan Lerner , Nicholas P. Bailey , Jeppe C. Dyre

It is demonstrated that properly reduced transport coefficients (self-diffusion, shear viscosity, and thermal conductivity) of Lennard-Jones fluids along isotherms exhibit quasi-universal scaling on the density divided by its value at the…

Soft Condensed Matter · Physics 2021-09-30 S. A. Khrapak , A. G. Khrapak

Exact mechanisms of thermal conductivity in liquids are not well understood, despite rich research history. A vibrational model of energy transfer in dense simple liquids with soft pairwise interactions seems adequate to partially fill this…

Soft Condensed Matter · Physics 2024-02-06 S. A. Khrapak , A. G. Khrapak

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

This series of papers is devoted to identifying and explaining the properties of strongly correlating liquids, i.e., liquids with more than 90% correlation between their virial W and potential energy U fluctuations in the NVT ensemble.…

Soft Condensed Matter · Physics 2012-03-27 Thomas B. Schrøder , Nicoletta Gnan , Ulf R. Pedersen , Nicholas P. Bailey , Jeppe C. Dyre

We reaccess the droplet condensation-evaporation transition of a three-dimensional Lennard-Jones system upon a temperature change. With the help of parallel multicanonical simulations we obtain precise estimates of the transition…

Soft Condensed Matter · Physics 2017-01-13 Johannes Zierenberg , Wolfhard Janke

Integral equation of pure liquids, combined with a new "scaling approximation" based on a corresponding states treatment of pair correlation functions, is used to evaluate approximate structure factors for colloidal fluids constituted of…

We address a recent conjecture according to which the relaxation time $\tau$ of a viscous liquid obeys density scaling ($\tau=F(\rho^\gamma/T)$ where $\rho$ is density) if the liquid is ``strongly correlating,'' i.e., has almost 100%…

Soft Condensed Matter · Physics 2012-03-27 Thomas B. Schrøder , Ulf R. Pedersen , Jeppe C. Dyre

Multicanonical ensemble sampling simulations have been performed to calculate the phase diagram of a Lennard-Jones fluid embedded in a fractal random matrix generated through diffusion limited cluster aggregation. The study of the system at…

Statistical Mechanics · Physics 2015-06-25 V. De Grandis , P. Gallo , M. Rovere

Monte Carlo simulations within the grand canonical ensemble are used to explore the liquid-vapour coexistence curve and critical point properties of the Lennard-Jones fluid. Attention is focused on the joint distribution of density and…

Condensed Matter · Physics 2009-10-28 Nigel B. Wilding

We present numerical calculations of a four-point dynamic susceptibility, chi_4(t), for the Kob-Andersen Lennard-Jones mixture as a function of temperature T and density rho. Over a relevant range of T and rho, the full t-dependence of…

Statistical Mechanics · Physics 2009-10-20 D. Coslovich , C. M. Roland

A quantitative relationship between the diffusion coefficient $D$ of a tagged particle in a liquid and the entropy $S$ of that liquid has long been sought, as it would allow entropy to be inferred directly from diffusion measurements and…

Statistical Mechanics · Physics 2025-09-25 Nayana Venkatareddy , Mohd Moid , Prabal K. Maiti , Biman Bagchi

Density scaling has a rich history in density functional theory, providing exact conditions for use in the construction of ever more accurate approximations to the unknown exchange-correlation functional. We define a conjugate potential…

Other Condensed Matter · Physics 2009-06-02 Peter Elliott , Kieron Burke
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