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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

A meshfree Lagrangian method for the fluctuating hydrodynamic equations (FHEs) with fluid-structure interactions is presented. Brownian motion of the particle is investigated by direct numerical simulation of the fluctuating hydrodynamic…

Dynamical Systems · Mathematics 2015-12-15 Anamika Pandey , Steffen Hardt , Axel Klar , Sudarshan Tiwari

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

The emergent fluctuating hydrodynamics of a viscoelastic fluid modeled by the multiparticle collision dynamics (MPC) approach is studied. The fluid is composed of flexible, Gaussian phantom polymers, which interact by local…

Soft Condensed Matter · Physics 2020-01-29 David Toneian , Gerhard Kahl , Gerhard Gompper , Roland G. Winkler

Solvent plays an important role in the relative motion of nanoscopic bodies, and the study of such phenomena can help elucidate the mechanism of hydrophobic assembly, as well as the influence of solvent-mediated effects on in vivo motion in…

Statistical Mechanics · Physics 2011-12-12 Joseph A. Morrone , Jingyuan Li , B. J. Berne

Hydrodynamic interactions play an important role in many areas of soft matter science. In simulations with implicit solvent, various techniques such as Brownian or Stokesian dynamics explicitly include hydrodynamic interactions a posteriori…

Soft Condensed Matter · Physics 2018-11-16 Gerhard Jung , Friederike Schmid

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

In the present study, quantitative feasibility tests of the hydrodynamic description of a two-dimensional fluid at the molecular level are performed, both with respect to length and time scales. Using high-resolution fluid velocity data…

Fluid Dynamics · Physics 2018-01-17 Kyeong Hwan Han , Changho Kim , Peter Talkner , George Em Karniadakis , Eok Kyun Lee

Brownian motion is essential for describing diffusion in systems ranging from simple to complex liquids. Unlike simple liquids, which consist of only a solvent, complex liquids, such as colloidal suspensions or the cytoplasm of a cell, are…

Soft Condensed Matter · Physics 2025-02-27 Jeffrey C. Everts , Robert Hołyst , Karol Makuch

The friction and diffusion coefficients of rigid spherical colloidal particles dissolved in a fluid are determined from velocity and force autocorrelation functions by mesoscale hydrodynamic simulations. Colloids with both slip and no-slip…

Soft Condensed Matter · Physics 2016-03-10 Mario Theers , Elmar Westphal , Gerhard Gompper , Roland G. Winkler

Finite-size effects are challenging in molecular dynamics simulations because they have significant effects on computed static and dynamic properties, in particular diffusion constants, friction coefficients and time- or frequency-dependent…

Soft Condensed Matter · Physics 2023-02-20 Laura Scalfi , Domenico Vitali , Henrik Kiefer , Roland R. Netz

The analysis of the dynamics of tracer particles in a complex bath can provide valuable information about the microscopic behaviour of the bath. In this work, we study the dynamics of a forced tracer in a colloidal bath by means of Langevin…

Soft Condensed Matter · Physics 2020-06-24 Francisco Orts , Gloria Ortega , Ester M. Garzon , Matthias Fuchs , Antonio M. Puertas

A microscopic theory of molecular motion in classical monatomic liquids, proposed by Glass and Rice [Phy. Rev. 176, 239 (1968)], is revisited and extended to incorporate the dynamic friction in the Brownian description of the atomic…

Soft Condensed Matter · Physics 2022-06-10 Kirit N. Lad , Margi K. Patel , Arun Pratap

The relation between the frequency-dependent friction of a molecule in a liquid and the hydrodynamic properties of the liquid is fundamental for molecular dynamics. We investigate this connection for a water molecule moving in liquid water…

Soft Condensed Matter · Physics 2024-08-23 Henrik Kiefer , Domenico Vitali , Benjamin A. Dalton , Laura Scalfi , Roland R. Netz

Recently, many interesting features of the hydrodynamically coupled motions of the Brownian particles in a viscous fluid have been reported which are impossible for the uncoupled motions of the similar particles. However, it is expected…

Soft Condensed Matter · Physics 2018-05-17 Shuvojit Paul

Nanoparticles with different surface morphologies that straddle the interface between two immiscible liquids are studied via molecular dynamics simulations. The methodology employed allows us to compute the interfacial free energy at…

Soft Condensed Matter · Physics 2016-04-27 Sepideh Razavi , Ilona Kretzschmar , Joel Koplik , Carlos E. Colosqui

We present an entirely microscopic formulation of viscoleasticity of a fluid starting from the microscopic Stokes-Oldroyd B Model assuming instantaneous hydrodynamic friction, and show that linearization leads to a form for the frequency…

Fluid Dynamics · Physics 2018-03-14 Shuvojit Paul , Basudev Roy , Ayan Banerjee

We present comprehensive numerical studies of the motion of a buoyant or a nearly neutrally buoyant nano-sized ellipsoidal particle in a fluid filled cylindrical tube without or with the presence of imposed pressure gradient (weak…

Computational Physics · Physics 2017-06-07 N. Ramakrishnan , Y. Wang , D. M. Eckmann , P. S. Ayyaswamy , Ravi Radhakrishnan

We obtain the first rigorous derivation of an incompressible Navier-Stokes-Fourier system with self-consistent and time-dependent forcing terms from the inelastic hard-spheres Boltzmann equation associated to the relevant case of…

Analysis of PDEs · Mathematics 2025-11-27 R. Alonso , B. Lods , I. Tristani

We synthesize colloidal particles with various anisotropic shapes and track their orientationally resolved Brownian trajectories using confocal microscopy. An analysis of appropriate short-time correlation functions provides direct access…

Soft Condensed Matter · Physics 2014-01-28 Daniela J. Kraft , Raphael Wittkowski , Borge ten Hagen , Kazem V. Edmond , David J. Pine , Hartmut Löwen
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