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Starting from the stochastic thermodynamics description of two coupled underdamped Brownian particles, we showcase and compare three different coarse-graining schemes leading to an effective thermodynamic description for the first of the…

Statistical Mechanics · Physics 2020-02-20 Tim Herpich , Kamran Shayanfard , Massimiliano Esposito

We carry out two-dimensional Brownian dynamics simulations of the behavior of rigid inclusion particles immersed in an active fluid bath. The active fluid is modeled as a collection of self-propelled circular disks interacting via a soft…

Soft Condensed Matter · Physics 2025-05-16 Lijie Ding , Robert A. Pelcovits , Thomas R. Powers

Our object is to formulate and analyze a physically plausible and mathematically sound model to better understand the phenomenon of clumping in colloid dispersions. Our model is stochastic but rigorously derived from a deterministic setup…

Materials Science · Physics 2009-09-29 Peter. Kotelenez , Marshall J. Leitman , J. Adin Mann

The dynamics of a tracer molecule near a fluid membrane is investigated, with particular emphasis given to the interplay between the instantaneous position of the particle and membrane fluctuations. It is found that hydrodynamic…

Soft Condensed Matter · Physics 2009-11-11 Thomas Bickel

We consider a rigid assembly of two active Brownian particles, forming an active colloidal dimer, in a gradient of activity. We show analytically that depending on the relative orientation of the two particles the active dimer accumulates…

Soft Condensed Matter · Physics 2022-08-17 Hidde D. Vuijk , Sophie Klempahn , Holger Merlitz , Jens-Uwe Sommer , Abhinav Sharma

Starting from a microscopic model of self-propelled hard spheres we use tools of non-equilibrium statistical mechanics and the kinetic theory of hard spheres to derive a Smoluchowski equation for interacting Active Brownian particles. We…

Statistical Mechanics · Physics 2017-04-05 Benjamin Hancock , Aparna Baskaran

We introduce numerical methods for simulating the diffusive motion of rigid bodies of arbitrary shape immersed in a viscous fluid. We parameterize the orientation of the bodies using normalized quaternions, which are numerically robust,…

Soft Condensed Matter · Physics 2015-10-28 Steven Delong , Florencio Balboa Usabiaga , Aleksandar Donev

Classical density functional theory (DFT) provides an exact variational framework for determining the equilibrium properties of inhomogeneous fluids. We report a generalization of DFT to treat the non-equilibrium dynamics of classical…

Soft Condensed Matter · Physics 2013-09-06 Matthias Schmidt , Joseph M. Brader

This article delves into the micro-macro modeling of polymeric fluids, considering various microscopic potential energies, including the classical Hookean potential, as well as newly proposed modified Morse and Elastic-plastic potentials.…

Soft Condensed Matter · Physics 2023-09-27 Xuelian Bao , Huaxiong Huang , Zilong Song , Shixin Xu

A new computational method is presented to resolve hydrodynamic interactions acting on solid particles immersed in incompressible host fluids. In this method, boundaries between solid particles and host fluids are replaced with a continuous…

Soft Condensed Matter · Physics 2009-11-10 Y. Nakayama , R. Yamamoto

We present a novel approach of mapping dissipative particle dynamics (DPD) into classical molecular dynamics. By introducing the invariant volume element representing the swarm of atoms we show that the interactions between the emerging…

Soft Condensed Matter · Physics 2019-02-19 Vlad P Sokhan , Ilian T Todorov

We study diffusion of colloids on a fluid-fluid interface using particle simulations and fluctuating hydrodynamics. Diffusion on a two-dimensional interface with three-dimensional hydrodynamics is known to be anomalous, with the collective…

Statistical Mechanics · Physics 2018-08-01 R. P. Peláez , F. Balboa Usabiaga , S. Panzuela , Q. Xiao , R. Delgado-Buscalioni , A. Donev

We use a coarse-grained molecular dynamics model to study the electrophoretic behaviour of flexible polyelectrolyte chains. We first characterize the static properties of the model with respect to the chain length, the polyelectrolyte…

Soft Condensed Matter · Physics 2008-12-16 Kai Grass , Christian Holm

We present a field theoretic approach to capture the motion of a particle with dry friction for one- and two-dimensional diffusive particles, and further expand the framework for two-dimensional active Brownian particles. Starting with the…

Statistical Mechanics · Physics 2024-09-18 Ziluo Zhang , Shurui Yuan , Shigeyuki Komura

We use lattice Boltzmann simulations, in conjunction with Ewald summation methods, to investigate the role of hydrodynamic interactions in colloidal suspensions of dipolar particles, such as ferrofluids. Our work addresses volume fractions…

Mesoscale and Nanoscale Physics · Physics 2009-10-20 Eunhye Kim , Kevin Stratford , Philip J. Camp , Michael E. Cates

The influence of hydrodynamic interactions on lane formation of oppositely charged driven colloidal suspensions is investigated using Brownian dynamics computer simulations performed on the Rotne-Prager level of the mobility tensor. Two…

Soft Condensed Matter · Physics 2009-11-13 Martin Rex , Hartmut Löwen

Theoretical approaches to nonequilibrium many-body dynamics generally rest upon an adiabatic assumption, whereby the true dynamics is represented as a sequence of equilibrium states. Going beyond this simple approximation is a notoriously…

Soft Condensed Matter · Physics 2014-10-15 Andrea Fortini , Daniel de las Heras , Joseph M. Brader , Matthias Schmidt

Self-chemophoresis is an appealing and quite successful interpretation of the motility exhibited by certain chemically active colloidal particles suspended in a solution of their "fuel": the particle has a phoretic response to…

Soft Condensed Matter · Physics 2026-01-06 Alvaro Domínguez , Mihail N. Popescu

Brownian dynamics simulations are an increasingly popular tool for understanding spatially-distributed biochemical reaction systems. Recent improvements in our understanding of the cellular environment show that volume exclusion effects are…

Chemical Physics · Physics 2017-09-13 Stephen Smith , Ramon Grima

In this paper we provide high precision estimates of the phase diagram of active Brownian particles. We extract coexisting densities from simulations of phase separated states in an elongated box (slab geometry) which minimizes finite-size…

Soft Condensed Matter · Physics 2017-08-16 Jonathan Tammo Siebert , Janina Letz , Thomas Speck , Peter Virnau