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Flocculation is the process whereby particles (i.e., flocs) in suspension reversibly combine and separate. The process is widespread in soft matter and aerosol physics as well as environmental science and engineering. We consider a general…

Analysis of PDEs · Mathematics 2015-07-28 Inom Mirzaev , David M. Bortz

Depth-averaged systems of equations describing the motion of fluid-sediment mixtures have been widely adopted by scientists in pursuit of models that can predict the paths of dangerous overland flows of debris. As models have become…

Fluid Dynamics · Physics 2026-04-07 Jake Langham , Xiannan Meng , Jamie P. Webb , Chris G. Johnson , J. M. N. T. Gray

We present a mesoscopic hydrodynamic description of the dynamics of colloidal suspensions. We consider the system as a gas of Brownian particles suspended in a Newtonian heat bath subjected to stationary non-equilibrium conditions imposed…

Statistical Mechanics · Physics 2009-11-11 S. I. Hernandez , I. Santamaria-Holek , Carlos I. Mendoza , L. F. del Castillo

Biological systems achieve precise control over ambient fluids through the self-organization of active protein structures including flagella, cilia, and cytoskeletal networks. In active structures individual proteins consume chemical energy…

In this paper, we investigate experimentally the non-equilibrium steady state of an active colloidal suspension under gravity field. The active particles are made of chemically powered colloids, showing self propulsion in the presence of an…

Soft Condensed Matter · Physics 2015-05-18 J. Palacci , C. Cottin-Bizonne , C. Ybert , L. Bocquet

Differently from passive Brownian particles, active particles, also known as self-propelled Brownian particles or microswimmers and nanoswimmers, are capable of taking up energy from their environment and converting it into directed motion.…

Active turbulence is a paradigmatic and fascinating example of self-organized motion at large scales occurring in active matter. We employ massive hydrodynamic simulations of suspensions of resolved model microswimmers to tackle the…

Soft Condensed Matter · Physics 2025-03-18 Antonio Gascó , Ignacio Pagonabarraga , Andrea Scagliarini

In a previous work [math.AP/0305408] three of us have studied a nonlinear parabolic equation arising in the mesoscopic modelling of concentrated suspensions of particles that are subjected to a given time-dependent shear rate. In the…

Analysis of PDEs · Mathematics 2007-05-23 Eric Cancès , Isabelle Catto , Yousra Gati , Claude Le Bris

We study the behaviour of interacting self-propelled particles, whose self-propulsion speed decreases with their local density. By combining direct simulations of the microscopic model with an analysis of the hydrodynamic equations obtained…

Statistical Mechanics · Physics 2012-06-25 F. D. C. Farrell , J. Tailleur , D. Marenduzzo , M. C. Marchetti

Human blood flow is a multi-scale problem: in first approximation, blood is a dense suspension of plasma and deformable red cells. Physiological vessel diameters range from about one to thousands of cell radii. Current computational models…

Soft Condensed Matter · Physics 2015-03-17 Florian Janoschek , Federico Toschi , Jens Harting

The formulation of a model for the evolution of the flow of a solid-liquid mixture (coal-water) in a horizontal pipeline with partial phase separation is the aim of this work. Problems of instabilities due to complex eigenvalues, observed…

Fluid Dynamics · Physics 2010-12-14 Alessandro Speranza

Two phase solid-fluid mixture models are ubiquitous in biological applications. For instance, models for growth of tissues and biofilms combine time dependent and quasi-stationary boundary value problems set in domains whose boundary moves…

Analysis of PDEs · Mathematics 2024-01-17 Ana Carpio , Gema Duro

Using molecular dynamics simulations we study the slow dynamics of a hard sphere fluid confined in a disordered porous matrix. The presence of both discontinuous and continuous glass transitions as well as the complex interplay between…

Soft Condensed Matter · Physics 2009-09-29 Jan Kurzidim , Daniele Coslovich , Gerhard Kahl

We introduce a closure model for coarse-grained kinetic theories of polar active fluids. Based on a quasi-equilibrium approximation of the particle distribution function, the model closely captures important analytical properties of the…

Soft Condensed Matter · Physics 2022-06-17 Scott Weady , David B. Stein , Michael J. Shelley

A mode-coupling theory for the motion of a strongly forced probe particle in a dense colloidal suspension is presented. Starting point is the Smoluchowski equation for $N$ bath and a single probe particle. The probe performs Brownian motion…

Soft Condensed Matter · Physics 2015-06-11 Igor Gazuz , Matthias Fuchs

Multi-phase phenomena remain at the heart of many challenging fluid dynamics problems. Molecular fluxes at the interface determine the fate of neighboring phases, yet their closure far from the continuum needs to be modeled. Along the…

Fluid Dynamics · Physics 2023-08-11 Mohsen Sadr , Marcel Pfeiffer , M. Hossein Gorji

We characterize the flow of a viscous suspension in an inclined channel where the flow is maintained in a steady state under the competing influences of gravity and an applied pressure drop. The basic model relies on a diffusive-flux…

Fluid Dynamics · Physics 2016-01-15 Lennon O'Naraigh , Ricardo Barros

Simple active models of matter recapitulate complex biological phenomena. The out-of-equilibrium nature of these models, however, often makes them beyond the reach of first-principle descriptions. This limitation is particularly perplexing…

Soft Condensed Matter · Physics 2025-11-07 Mingyuan Zheng , Dmytro Khomenko , Patrick Charbonneau

We consider an active, stochastic microscopic model of particles suspended in a fluid and show that the coarse-grained description of this model renders odd viscoelasticity. The particles are odd dumbbells, each featuring a robotic device…

Soft Condensed Matter · Physics 2024-10-23 Paweł Matus , Ruben Lier , Piotr Surówka

Microorganisms are ubiquitous in nature and technology. They inhabit diverse environments ranging from small river tributaries and lakes to oceans, as well as wastewater treatment plants and food manufacturing. In many of these…

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