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We present a predictive local field theory for the nonequilibrium dynamics of interacting active Brownian particles with a spherical shape in two spatial dimensions. The theory is derived by a rigorous coarse-graining starting from the…

Soft Condensed Matter · Physics 2020-05-26 Jens Bickmann , Raphael Wittkowski

A statistical approach to a self-consistent description of kinetic and hydrodynamic processes in systems of interacting particles is formulated on the basis of the nonequilibrium statistical operator method by D.N.Zubarev. It is shown how…

Statistical Mechanics · Physics 2007-05-23 M. V. Tokarchuk , I. P. Omelyan , A. E. Kobryn

We introduce an event-driven simulation scheme for overdamped dynamics of frictionless hard spheres subjected to external forces, neglecting hydrodynamic interactions. Our event-driven approach is based on an exact equation of motion which…

Soft Condensed Matter · Physics 2015-06-03 Edan Lerner , Gustavo Düring , Matthieu Wyart

We use a standard minimal active Brownian model to investigate the osmotic-like effective pressure generated by active fluids on fixed hollow inclusions. These inclusions are enclosed by a permeable (albeit nonflexible) membrane, and the…

Soft Condensed Matter · Physics 2024-04-26 Mahmoud Sebtosheikh , Ali Naji

We investigate the full pair-distribution function of a homogeneous suspension of spherical active Brownian particles interacting by a Weeks-Chandler-Andersen potential in two spatial dimensions. The full pair-distribution function depends…

Soft Condensed Matter · Physics 2020-06-18 Julian Jeggle , Joakim Stenhammar , Raphael Wittkowski

We present a numerical method to deal efficiently with large numbers of particles in incompressible fluids. The interactions between particles and fluid are taken into account by a physically motivated ansatz based on locally defined drag…

Condensed Matter · Physics 2016-08-31 W. Kalthoff , S. Schwarzer , G. H. Ristow , H. J. Herrmann

A quantitative analysis is presented for the stochastic interactions of a pair of Brownian hard spheres in non-adsorbing polymer solutions. The hard spheres are hypothetically trapped by optical tweezers and allowed for random motion near…

Soft Condensed Matter · Physics 2015-06-18 Mehdi Karzar-Jeddi , Remco Tuinier , Takashi Taniguchi , Tai-Hsi Fan

In these Lecture Notes we aim at clarifying how soft matter physics, and herein notably statistical mechanics and fluid mechanics, can be engaged to understand and manipulate non-equilibrium systems consisting of numerous (microscopic)…

Soft Condensed Matter · Physics 2025-05-27 Jean-François Joanny , Joseph O. Indekeu

Motivated by recent simulations and by experiments on aggregation of gliding bacteria, we study a model of the collective dynamics of self-propelled hard rods on a substrate in two dimensions. The rods have finite size, interact via…

Soft Condensed Matter · Physics 2009-11-13 Aparna Baskaran , M. Cristina Marchetti

We report the complete statistical treatment of a system of particles interacting via Newtonian forces in continuous boundary-driven flow, far from equilibrium. By numerically time-stepping the force-balance equations of a model fluid we…

Statistical Mechanics · Physics 2015-05-14 R. M. L. Evans , R. A. Simha , A. Baule , P. D. Olmsted

Few equilibrium --even less so nonequilibrium-- statistical-mechanical models with continuous degrees of freedom can be solved exactly. Classical hard-spheres in infinitely many space dimensions are a notable exception. We show that even…

Statistical Mechanics · Physics 2020-01-01 Thibaut Arnoulx de Pirey , Gustavo S. Lozano , Frédéric van Wijland

Statistical mechanics provides the foundation for describing complex materials using only a few thermodynamic variables. No such framework currently exists far from equilibrium. In this Letter, we demonstrate how thermodynamics emerges far…

A new and very general technique for simulating solid-fluid suspensions has been described in a previous paper (Part I); the most important feature of the new method is that the computational cost scales with the number of particles. In…

comp-gas · Physics 2009-10-22 Anthony J. C. Ladd

We propose a method to parameterize a coarse grained model for the hydrodynamic friction between nearly touching rough spheres in suspension flows. The frictional resistance due to surface roughness primarily alters the sliding and rolling…

Soft Condensed Matter · Physics 2022-03-15 Madhu V. Majji , James W. Swan

We investigate through numerical simulations the hydrodynamic interactions between two rigid spherical particles suspended on the axis of a cylindrical tube filled with an elastoviscoplastic fluid subjected to pressure-driven flow. The…

We study the glassy dynamics taking place in dense assemblies of athermal active particles that are driven solely by a nonequilibrium self-propulsion mechanism. Active forces are modeled as an Ornstein-Uhlenbeck stochastic process,…

Soft Condensed Matter · Physics 2016-09-28 Elijah Flenner , Grzegorz Szamel , Ludovic Berthier

We analyze the nonlinear active microrheology of dense colloidal suspensions using a schematic model of mode-coupling theory. The model describes the strongly nonlinear behavior of the microscopic friction coefficient as a function of…

Soft Condensed Matter · Physics 2018-07-11 Manuel V. Gnann , Igor Gazuz , Antonio M. Puertas , Matthias Fuchs , Thomas Voigtmann

We consider a random model of diffusion and coagulation. A large number of small particles are randomly scattered at an initial time. Each particle has some integer mass and moves in a Brownian motion whose diffusion rate is determined by…

Probability · Mathematics 2012-08-21 Alan Hammond , Fraydoun Rezakhanlou

Systems composed of strongly interacting self-propelled particles can form a spontaneously flowing polar active fluid. The study of the connection between the microscopic dynamics of a single such particle and the macroscopic dynamics of…

Soft Condensed Matter · Physics 2018-03-02 Benjamin Loewe , Anton Souslov , Paul M. Goldbart

We introduce a parameter estimation method that utilizes microscopic data, specifically averages and correlations of selected microscopic observables, to determine the parameters of a stochastic differential equation governing…

Statistical Mechanics · Physics 2026-04-21 Carlos Monago , J. A. de la Torre , Pep Español