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The long-time behaviors of the velocity autocorrelation function (VACF) for granular flows based on the optimal velocity fluid model are investigated theoretically. It is found the long-time tail of VACF disappears in a granular flow under…

Statistical Mechanics · Physics 2015-05-13 Hisao Hayakawa , Michio Otsuki

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…

Statistical Mechanics · Physics 2009-11-13 Tatsuro Yuge , Akira Shimizu

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…

Soft Condensed Matter · Physics 2012-04-23 D. Chakraborty

Velocity autocorrelation functions (VAF) of the fluids are studied on short- and long-time scales within a unified approach. This approach is based on an effective summation of the infinite continued fraction at a reasonable assumption…

Statistical Mechanics · Physics 2019-01-25 V. V. Ignatyuk , I. M. Mryglod , T. Bryk

I derive a mode-coupling theory for the velocity autocorrelation function, \psi(t), in a fluid of randomly driven inelastic hard spheres far from equilibrium. With this, I confirm a conjecture from simulations that the velocity…

Soft Condensed Matter · Physics 2019-02-19 W. Till Kranz

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…

Soft Condensed Matter · Physics 2024-04-22 Sean L Seyler , Charles E Seyler

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…

Soft Condensed Matter · Physics 2020-04-23 Suvendu Mandal , Lukas Schrack , Hartmut Löwen , Matthias Sperl , Thomas Franosch

We report an experimental investigation of the caging motion in a uniformly heated granular fluid, for a wide range of filling fractions, $\phi$. At low $\phi$ the classic diffusive behavior of a fluid is observed. However, as $\phi$ is…

Soft Condensed Matter · Physics 2009-11-11 Pedro M. Reis , Rohit A. Ingale , Mark D. Shattuck

We use event driven simulations to analyze glassy dynamics as a function of density and energy dissipation in a two-dimensional bidisperse granular fluid under stationary conditions. Clear signatures of a glass transition are identified,…

Statistical Mechanics · Physics 2011-10-05 Iraj Gholami , Andrea Fiege , Annette Zippelius

The hydrodynamic part of the velocity autocorrelation function of a granular fluid in the homogeneous cooling state has been calculated by using mode-coupling theory for a finite system with periodic boundary conditions. The existence of…

Statistical Mechanics · Physics 2015-06-23 J. Javier Brey , M. J. Ruiz-Montero

The long-time behavior of the current auto-correlation functions for the velocity, the shear stress and the heat flux is investigated in freely cooling granular gases. It is found that the correlation functions for the velocity and the…

Statistical Mechanics · Physics 2009-11-13 Hisao Hayakawa , Michio Otsuki

The force autocorrelation function (FACF), a concept of fundamental interest in statistical mechanics, encodes the effect of interactions on the dynamics of a tagged particle. In equilibrium, the FACF is believed to decay monotonically in…

Statistical Mechanics · Physics 2023-07-20 Erik Kalz , Hidde Derk Vuijk , Jens-Uwe Sommer , Ralf Metzler , Abhinav Sharma

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…

Statistical Mechanics · Physics 2018-11-20 Kanka Ghosh , C. V. Krishnamurthy

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…

Soft Condensed Matter · Physics 2010-04-22 Thomas Franosch , Sylvia Jeney

We apply a hybrid Molecular Dynamics and mesoscopic simulation technique to study the dynamics of two dimensional colloidal discs in confined geometries. We calculate the velocity autocorrelation functions, and observe the predicted…

Soft Condensed Matter · Physics 2015-05-13 Jimaan Sané , Ard A. Louis , Johan Padding

We conduct a molecular dynamics simulation of an inelastic gas system utilizing an event-driven algorithm combined with a thermostat mechanism. Initially, the kinetic energy of the system experiences a decay before settling into a…

Computational Physics · Physics 2025-02-03 Rameez Farooq Shah , Shikha Kumari , Syed Rashid Ahmad

We investigate the dynamics of binary mixtures of inelastic particles through event-driven molecular dynamics simulations, focusing on velocity autocorrelation functions (VACFs). The study examines two distinct particle types under varying…

Soft Condensed Matter · Physics 2025-03-04 Rameez Farooq Shah , Syed Rashid Ahmad , Shikha Kumari

Unified description on the long-time tail of velocity autocorrelation function and the long-range correlation for the equal-time spatial correlation functions is developed based on the generalized fluctuating hydrodynamics. The cross-over…

Statistical Mechanics · Physics 2015-05-13 Michio Otsuki , Hisao Hayakawa

We experimentally investigate the fluidization of a granular material subject to mechanical vibrations by monitoring the angular velocity of a vane suspended in the medium and driven by an external motor. On increasing the frequency we…

Soft Condensed Matter · Physics 2018-03-30 A. Gnoli , L. de Arcangelis , F. Giacco , E. Lippiello , M. Pica Ciamarra , A. Puglisi , A. Sarracino

The velocity autocorrelation function (VAF) for a two-dimensional one-component plasma (OCP) is investigated by employing molecular dynamics techniques. The VAF exhibits well defined oscillations whose frequency is independent of the…

Mesoscale and Nanoscale Physics · Physics 2016-02-15 Girija S. Dubey , Godfrey Gumbs
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