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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

Using Newtonian and Brownian dynamics simulations, the structural and transport properties of hard and soft spheres have been studied. The soft spheres were modeled using inverse power potentials ($V\sim r^{-n}$, with $1/n$ the potential…

Soft Condensed Matter · Physics 2015-05-13 Erik Lange , Jose B. Caballero , Antonio M. Puertas , Matthias Fuchs

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

We report shear viscosity of heavy water supercooled $33\,\mathrm{K}$ below its melting point, revealing a 15-fold increase compared to room temperature. We also confirm our previous data for the viscosity of supercooled light water, and…

Chemical Physics · Physics 2023-09-19 Pierre Ragueneau , Frédéric Caupin , Bruno Issenmann

In the preceding paper, linear response methods have been applied to obtain formally exact expressions for the parameters of Navier-Stokes order hydrodynamics. The analysis there is general, applying to both normal and granular fluids with…

Statistical Mechanics · Physics 2007-05-23 Aparna Baskaran , James W. Dufty , J. Javier Brey

In our recent work on concentrated suspensions of uniformly porous colloidal spheres with excluded volume interactions, a variety of short-time dynamic properties were calculated, except for the rotational self-diffusion coefficient. This…

Soft Condensed Matter · Physics 2015-05-27 Gustavo C. Abade , Bogdan Cichocki , Maria L. Ekiel-Jezewska , Gerhard Naegele , Eligiusz Wajnryb

This work derives the Navier--Stokes hydrodynamic equations for a model of a confined, quasi-two-dimensional, $s$-component mixture of inelastic, smooth, hard spheres. Using the inelastic version of the revised Enskog theory, macroscopic…

Soft Condensed Matter · Physics 2026-03-27 David González Méndez , Vicente Garzó

Glass formers exhibit a viscoelastic behavior: at the laboratory timescale, they behave like (glassy) solids at low temperatures, and like liquids at high temperatures. Based on this observation, elastic models relate the long time…

Chemical Physics · Physics 2017-08-01 Emmanuel Guillaud , Laurent Joly , Dominique De Ligny , Samy Merabia

The short--time self diffusion coefficient of a sphere in a suspension of rigid rods is calculated in first order in the rod volume fraction. For low rod concentrations the correction to the Einstein diffusion constant of the sphere is a…

Soft Condensed Matter · Physics 2008-12-03 J. Guzowski , B. Cichocki , E. Wajnryb , G. C. Abade

The principle of dynamic equivalence between soft-sphere and hard-sphere fluids [Phys. Rev. E \textbf{68}, 011405 (2003)] is employed to describe the interplay of the effects of varying the density n, the temperature T, and the softness…

Detailed calculations of the transport coefficients of a recently introduced particle-based model for fluid dynamics with a non-ideal equation of state are presented. Excluded volume interactions are modeled by means of biased stochastic…

Soft Condensed Matter · Physics 2010-12-06 Thomas Ihle

It is widely believed that the breakdown of the Stokes-Einstein (SE) relation between the translational diffusivity and the shear viscosity in supercooled liquids is due to the development of dynamic heterogeneity i.e. the presence of both…

Statistical Mechanics · Physics 2015-06-12 Shiladitya Sengupta , Smarajit Karmakar

Molecular dynamics simulations are carried out to investigate the diffusion behavior of penetrable-sphere model fluids characterized by a finite energy barrier $\epsilon$. The self-diffusion coefficient is evaluated from the time-dependent…

Soft Condensed Matter · Physics 2010-11-22 Soong-Hyuck Suh , Chun-Ho Kim , Soon-Chul Kim , Andrés Santos

Molecular Dynamics simulations of high density hard sphere fluids clearly show a breakdown of the Stokes-Einstein equation (SE). This result has been conjectured to be due to the presence of mobile particles, i.e., ones which have the…

Materials Science · Physics 2009-11-11 Sanat K. Kumar , Grzegorz Szamel , Jack F. Douglas

The effect of velocity correlations on the equal-time density autocorrelation function, e.g. the pair distribution function or pdf, of a hard-sphere fluid undergoing shear flow is investigated. The pdf at contact is calculated within the…

Statistical Mechanics · Physics 2009-11-07 James F. Lutsko

When fluid is confined between two molecularly smooth surfaces to a few molecular diameters, it shows a large enhancement of its viscosity. From experiments it seems clear that the fluid is squeezed out layer by layer. A simple solution of…

Soft Condensed Matter · Physics 2011-11-02 Saroj Kumar Nandi

In a recent publication [Phys. Rev. E \textbf{83}, 011301 (2011)], Vollmayr--Lee \emph{et al.} have determined by computer simulations the thermal diffusivity and the longitudinal viscosity coefficients of a driven granular fluid of hard…

Statistical Mechanics · Physics 2015-05-28 Vicente Garzó

A study of the transport coefficients of a system of elastic hard disks, based on the use of Helfand-Einstein expressions is reported. The self-diffusion, the viscosity, and the heat conductivity are examined with averaging techniques…

Statistical Mechanics · Physics 2016-08-16 Ramón García-Rojo , Stefan Luding , J. Javier Brey

Transport coefficients, such as the diffusion coefficient and shear viscosity, are important material properties that are calculated in computer simulations. In this study, the criterion for the best estimation of viscosity, as an example…

Computational Physics · Physics 2023-06-05 Xin Liu , Xuhong Guo , Qi Liao

It is shown that the transport coefficients (self-diffusion, shear viscosity, and thermal conductivity) of the Weeks-Chandler-Anderson (WCA) fluid along isotherms exhibit a freezing density scaling (FDS). The functional form of this FDS is…

Statistical Mechanics · Physics 2024-04-26 S. A. Khrapak , A. G. Khrapak
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