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A simple ansatz for the study of velocity autocorrelation functions in fluids at different timescales is proposed. The ansatz is based on an effective summation of the infinite continued fraction at a reasonable assumption about convergence…

统计力学 · 物理学 2018-04-02 V. V. Ignatyuk , I. M. Mryglod , T. Bryk

The velocity autocorrelation function (VACF) encapsulates extensive information about a fluid's molecular-structural and hydrodynamic properties. We address the following fundamental question: How well can a purely hydrodynamic description…

软凝聚态物质 · 物理学 2024-04-22 Sean L Seyler , Charles E Seyler

In this article, we present molecular dynamics study of the velocity autocorrelation function (VACF) of a Brownian particle. We compare the results of the simulation with the exact analytic predictions for a compressible fluid from [6] and…

软凝聚态物质 · 物理学 2012-04-23 D. Chakraborty

We study the velocity autocorrelation function (VACF) of a driven granular fluid in the stationary state in 3 dimensions. As the critical volume fraction of the glass transition in the corresponding elastic system is approached, we observe…

统计力学 · 物理学 2011-10-05 Andrea Fiege , Timo Aspelmeier , Annette Zippelius

The long-time behavior of the velocity autocorrelation function (VACF) is investigated by the molecular dynamics simulation of a two-dimensional system which has both a many-body interaction and a random potential. With strengthening the…

统计力学 · 物理学 2009-11-13 Tatsuro Yuge , Akira Shimizu

Transport properties of a hard-sphere colloidal fluid are investigated by Brownian dynamics simulations. We implement a novel algorithm for the time-dependent velocity-autocorrelation function (VACF) essentially eliminating the noise of the…

软凝聚态物质 · 物理学 2020-04-23 Suvendu Mandal , Lukas Schrack , Hartmut Löwen , Matthias Sperl , Thomas Franosch

Extending a previous study of the velocity autocorrelation function (VAF) in a simulated Lennard-Jones fluid to cover higher-density and lower-temperature states, we show that the recently demonstrated multiexponential expansion allows for…

统计力学 · 物理学 2017-01-11 S. Bellissima , M. Neumann , E. Guarini , U. Bafile , F. Barocchi

The present work develops a theoretical procedure for obtaining transport coefficients of Yukawa systems from density fluctuations. The dynamics of Yukawa systems are described in the framework of the generalized hydrodynamic model that…

等离子体物理 · 物理学 2022-09-14 Ankit Dhaka , PV Subhash , P. Bandyopadhyay , A. Sen

The hard-disk model plays a role of touchstone for testing and developing the transport theory. By large scale molecular dynamics simulations of this model, three important autocorrelation functions, and as a result the corresponding…

统计力学 · 物理学 2016-05-24 Hanqing Zhao , Hong Zhao

Density functional theory (DFT) is an efficient instrument for describing a wide range of nanoscale phenomena: wetting transition, capillary condensation, adsorption, etc. In this paper, we suggest a method for obtaining the equilibrium…

计算物理 · 物理学 2021-06-18 Yuriy Kanygin , Irina Nesterova , Pavel Lomovitskiy , Aleksey Khlyupin

The bare diffusion coefficient is given as the time integral of the peculiar velocity autocorrelation function or PVACF and this result is different from the well known Green-Kubo formula. The bare diffusion coefficient characterizes the…

统计力学 · 物理学 2007-05-23 Rodney L. Varley

Particle motion and correlations in fluids within confined domains promise to provide challenges and opportunities for experimental and theoretical studies. We report molecular dynamics simulations of a Lennard-Jones gas mimicking argon…

统计力学 · 物理学 2018-11-20 Kanka Ghosh , C. V. Krishnamurthy

We study correlations of hydrodynamic fluctuations in shear flow analytically and also by dissipative particle dynamics~(DPD) simulations. The hydrodynamic equations are linearized around the macroscopic velocity field and then solved by a…

流体动力学 · 物理学 2019-05-02 Xin Bian , Mingge Deng , George Em Karniadakis

We present a model for the motion of an average atom in a liquid or supercooled liquid state and apply it to calculations of the velocity autocorrelation function $Z(t)$ and diffusion coefficient $D$. The model trajectory consists of…

统计力学 · 物理学 2009-10-31 Eric D. Chisolm , Brad E. Clements , Duane C. Wallace

We have investigated the motion of a single optically trapped colloidal particle close to a limiting wall at time scales where the inertia of the surrounding fluid plays a significant role. The velocity autocorrelation function exhibits a…

软凝聚态物质 · 物理学 2010-04-22 Thomas Franosch , Sylvia Jeney

It is shown that the solution of generalized Langevin equation can be obtained on the basis of simple comparison of the time scale for the velocity autocorrelation function of a particle (atom, molecule) and of the time scale for the…

统计力学 · 物理学 2017-02-28 Anatolii V. Mokshin , Bulat N. Galimzyanov

We present a generalized mode-coupling theory for a dense binary fluid mixture. The theory is used to calculate molecular-scale renormalizations to the stress-tensor autocorrelation function (STAF) and to the long-wavelength zero-frequency…

软凝聚态物质 · 物理学 2009-11-11 Supurna Sinha , M. Cristina Marchetti

The aim of this paper is to calculate the time dependence of the mean position (and orientation) of a fluid particle when a fluid system at thermodynamic equilibrium is submitted to a mechanical action. The starting point of this novel…

软凝聚态物质 · 物理学 2022-04-25 Frederic Aitken , Ferdinand Volino

Moment closures of the Vlasov-Amp{\`e}re system, whereby higher moments are represented as functions of lower moments with the constraint that the resulting fluid system remains Hamiltonian, are investigated by using water-bag theory. The…

等离子体物理 · 物理学 2015-09-30 M. Perin , Cristel Chandre , P. J. Morrison , E. Tassi

A simple model is proposed for the direct correlation function (DCF) for simple fluids consisting of a hard-core contribution, a simple parametrized core correction, and a mean-field tail. The model requires as input only the free energy of…

统计力学 · 物理学 2007-10-08 James F. Lutsko
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