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The connection between fundamental interactions acting in molecules in a fluid and macroscopically measured properties, such as the viscosity between colloidal particles coated with polymers, is studied here. The role that hydrodynamic and…

Soft Condensed Matter · Physics 2015-09-02 A. Gama Goicochea , M. A. Balderas Altamirano , R. Lopez-Esparza , M. A. Waldo , E. Perez

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

We solve a Langevin equation, first studied by de Gennes, in which there is a solid-solid or dry friction force acting on a Brownian particle in addition to the viscous friction usually considered in the study of Brownian motion. We obtain…

Statistical Mechanics · Physics 2010-10-22 Hugo Touchette , Erik Van der Straeten , Wolfram Just

In this paper we present a numerical scheme to simulate a moving rigid body with arbitrary shape suspended in a rarefied gas. The rarefied gas is simulated by solving the Boltzmann equation using a DSMC particle method. The motion of the…

Computational Physics · Physics 2015-06-22 Samir Shrestha , Sudarshan Tiwari , Axel Klar , Steffen Hardt

Assuming an effective quadratic Hamiltonian, we derive an approximate, linear stochastic equation of motion for the density-fluctuations in liquids, composed of overdamped Brownian particles. From this approach, time dependent two point…

Soft Condensed Matter · Physics 2017-04-26 Matthias Krüger , David S. Dean

We derive the hydrodynamic equations of motion for a fluid of active particles described by under- damped Langevin equations that reduce to the Active-Brownian-Particle model, in the overdamped limit. The contraction into the hydrodynamic…

Statistical Mechanics · Physics 2017-06-07 Stefano Steffenoni , Gianmaria Falasco , Klaus Kroy

We present a diagrammatic formulation of a theory for the time dependence of density fluctuations in equilibrium systems of interacting Brownian particles. To facilitate derivation of the diagrammatic expansion we introduce a basis that…

Soft Condensed Matter · Physics 2009-11-13 Grzegorz Szamel

We introduce methods for large scale Brownian Dynamics (BD) simulation of many rigid particles of arbitrary shape suspended in a fluctuating fluid. Our method adds Brownian motion to the rigid multiblob method at a cost comparable to the…

Soft Condensed Matter · Physics 2018-01-17 B. Sprinkle , F. Balboa Usabiaga , N. A. Patankar , A. Donev

The direct numerical simulation of particulate systems offers a unique approach to study the dynamics of fluid-solid suspensions by fully resolving the submerged particles and without introducing empirical models. For the lattice Boltzmann…

Computational Engineering, Finance, and Science · Computer Science 2017-06-06 Christoph Rettinger , Ulrich Rüde

We present a simple and systematic procedure to determine the effective dynamics of a Brownian particle coupled to a rapidly fluctuating correlated medium, modeled as a scalar Gaussian field, under spatial confinement. The method allows us,…

Statistical Mechanics · Physics 2023-01-02 Davide Venturelli , Markus Gross

The aim of this paper is to compare results from lattice-Boltzmann and Brownian dynamics simulations of linear chain molecules. We have systematically varied the parameters that may affect the accuracy of the lattice-Boltzmann simulations,…

Computational Physics · Physics 2015-05-13 Anthony J. C. Ladd , Rahul Kekre , Jason E. Butler

This article concerns numerical simulations of the dynamics of particles immersed in a continuum solvent. As prototypical systems, we consider colloidal dispersions of spherical particles and solutions of uncharged polymers. After a brief…

Soft Condensed Matter · Physics 2009-11-13 Burkhard Duenweg , Anthony J. C. Ladd

We compare experimental data and numerical simulations for the dynamics of inertial particles with finite density in turbulence. In the experiment, bubbles and solid particles are optically tracked in a turbulent flow of water using an…

Chaotic Dynamics · Physics 2008-08-28 R. Volk , E. Calzavarini , G. Verhille , D. Lohse , N. Mordant , J. -F. Pinton , F. Toschi

In this study, we propose an alternative way to simulate particle suspensions using the lattice Boltzmann method. The main idea is to impose the non-slip boundary condition in the lattice sites located on the particle boundaries. The focus…

Computational Physics · Physics 2011-05-17 Luís Orlando Emerich dos Santos , Paulo Cesar Philippi

We discuss the two-dimensional motion of a Brownian particle that is confined to a harmonic trap and driven by a shear flow. The surrounding medium induces memory effects modelled by a linear, typically nonreciprocal coupling of the…

Statistical Mechanics · Physics 2024-04-26 Lea Fernandez , Siegfried Hess , Sabine H. L. Klapp

The dynamics of two Brownian particles trapped by two neighboring harmonic potentials in a linear shear flow is investigated. The positional correlation functions in this system are calculated analytically and analyzed as a function of the…

Soft Condensed Matter · Physics 2010-09-08 Jochen Bammert , Lukas Holzer , Walter Zimmermann

Time-lapse microscopy imaging provides direct access to the dynamics of soft and living systems. At mesoscopic scales, such microscopy experiments reveal intrinsic fluctuations, which may have both thermal and non-equilibrium origins. These…

Biological Physics · Physics 2020-12-02 F. S. Gnesotto , G. Gradziuk , P. Ronceray , C. P. Broedersz

We study the two-dimensional overdamped motion of an active particle whose orientational dynamics is subject to fractional Brownian noise, whereas its position is affected by self-propulsion and Brownian fluctuations. From a Langevin-like…

Statistical Mechanics · Physics 2020-07-21 Juan Ruben Gomez-Solano , Francisco J. Sevilla

We propose a Langevin equation to describe the quantum Brownian motion of bounded particles based on a distinctive formulation concerning both the fluctuation and dissipation forces. The fluctuation force is similar to that employed in the…

Statistical Mechanics · Physics 2020-04-22 Mário J. de Oliveira

Our ability to numerically model and understand the complex flow behavior of solid-bearing suspensions has increased significantly over the last couple of years, partly due to direct numerical simulations that compute flow around individual…

Computational Physics · Physics 2019-03-21 Zhipeng Qin , Kali Alison , Jenny Suckale
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