English
Related papers

Related papers: Self-diffusion and binary Maxwell-Stefan diffusion…

200 papers

We report on measurements of self-diffusion coefficients in discrete numerical simulations of steady, homogeneous, collisional shearing flows of nearly identical, frictional, inelastic spheres. We focus on a range of relatively high solid…

Soft Condensed Matter · Physics 2021-04-01 Riccardo Artoni , Michele Larcher , James Jenkins , Patrick Richard

Recently, an analytical expression for the system size dependence and direction-dependence of self-diffusion coefficients for neat liquids due to hydrodynamic interactions has been derived for molecular dynamics (MD) simulations using…

Soft Condensed Matter · Physics 2023-09-12 Johanna Busch , Dietmar Paschek

Widely applicable, modified Green-Kubo expressions for the local diffusion coefficient ($D_l$) are obtained using linear response theory. In contrast to past definitions in use, these expressions are statistical mechanical results.…

Statistical Mechanics · Physics 2023-05-25 Michelle A. Hunter , Baris Demir , Charlotte F. Petersen , Debra J. Searles

We propose a general methodology for calculating the self-diffusion tensor from molecular dynamics for a liquid with a liquid-gas or liquid-solid interface. The standard method used in bulk fluids, based on computing the mean square…

Chemical Physics · Physics 2007-05-23 Pu Liu , Edward Harder , B. J. Berne

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

The Green-Kubo formula relates the spatial diffusion coefficient to the stationary velocity autocorrelation function. We derive a generalization of the Green-Kubo formula valid for systems with long-range or nonstationary correlations for…

Statistical Mechanics · Physics 2014-03-05 A. Dechant , E. Lutz , D. A. Kessler , E. Barkai

We report comprehensive simulations of the critical dynamics of a symmetric binary Lennard-Jones mixture near its consolute point. The self-diffusion coefficient exhibits no detectable anomaly. The data for the shear viscosity and the…

Statistical Mechanics · Physics 2009-11-11 Subir K. Das , Michael E. Fisher , Jan V. Sengers , Juergen Horbach , Kurt Binder

We investigate the hydrodynamic properties of a fluid simulated with a mesoscopic solvent model. Two distinct regimes are identified, the `particle regime' in which the dynamics is gas-like, and the `collective regime' where the dynamics is…

Soft Condensed Matter · Physics 2009-11-11 M. Ripoll , K. Mussawisade , R. G. Winkler , G. Gompper

We investigate the diffusion asymptotics of the Boltzmann equation for gaseous mixtures, in the perturbative regime around a local Maxwellian vector whose fluid quantities solve a flux-incompressible Maxwell-Stefan system. Our framework is…

Analysis of PDEs · Mathematics 2019-10-21 Andrea Bondesan , Marc Briant

A quasi-two-dimensional system of hard spheres strongly confined between two parallel plates is considered. The attention is focussed on the macroscopic self-diffusion process observed when the system is looked from above or from below. The…

Statistical Mechanics · Physics 2020-01-09 J. Javier Brey , M. I. García de Soria , P. Maynar

An impact of particles' roughness on the self-diffusion coefficient in granular gases is investigated. For a simplified collision model where the normal and tangential restitution coefficients are assumed to be constant we develop an…

Statistical Mechanics · Physics 2012-01-19 Anna Bodrova , Nikolai Brilliantov

In this paper, we present a model based on a local thermodynamic equilibrium, weakly ionized plasma-mixture model used for medical and technical applications in etching processes. We consider a simplified model based on the Maxwell-Stefan…

Numerical Analysis · Mathematics 2015-01-26 Juergen Geiser

The aim of the study is to compare the standard Maxwell-Stefan model of diffusion with the higher-order one recently derived. This higher-order model takes into account the influence of the complete pressure tensor. A numerical scheme is…

Analysis of PDEs · Mathematics 2024-07-18 Bérénice Grec , Srboljub Simic

A microscopic model able to describe simultaneously the dynamic viscosity and the self-diffusion coefficient of fluids is presented. This model is shown to emerge from the introduction of fractional calculus in a usual model of condensed…

Statistical Mechanics · Physics 2021-11-24 F. Aitken , F. Volino

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

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

We present a hybrid computational method for simulating the dynamics of macromolecules in solution which couples a mesoscale solver for the fluctuating hydrodynamics (FH) equations with molecular dynamics to describe the macromolecule. The…

Soft Condensed Matter · Physics 2007-05-23 G. Giupponi , G. De Fabritiis , P. V. Coveney

Discrete element method simulations of confined bidisperse granular shear flows elucidate the balance between diffusion and segregation that can lead to either mixed or segregated states, depending on confining pressure. Results indicate…

Soft Condensed Matter · Physics 2018-09-24 Alexander M. Fry , Paul B. Umbanhowar , Julio M. Ottino , Richard M. Lueptow

Self-diffusion and radial distribution functions are studied in a strongly confined Lennard-Jones fluid. Surprisingly, in the solid-liquid phase transition region, where the system exhibits dynamic coexistence, the self-diffusion constants…

Statistical Mechanics · Physics 2016-02-11 N. de Sousa , J. J. Sáenz , Frank Scheffold , A. García Martín , L. S. Froufe-Pérez

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