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The kinetics of irreversible adsorption of spherical particles onto a flat surface is theoretically studied. Previous models, in which hydrodynamic interactions were disregarded, predicted a power-law behavior $t^{-2/3}$ for the time…

Statistical Mechanics · Physics 2009-10-30 P. Wojtaszczyk , J. B. Avalos

Acoustic fields effect steady transport of suspended particles by rectifying the inertia of primary oscillations. We develop a fully analytic theory that relates this steady particle motion to incident oscillatory (acoustic) flow and the…

Fluid Dynamics · Physics 2023-10-03 Xiaokang Zhang , Jake Minten , Bhargav Rallabandi

Exact expressions are derived for the pair and three-body hydrodynamic interactions between a sphere and a number of small particles immersed in a viscous incompressible fluid. The analysis is based on the Stokes equations of low Reynolds…

Fluid Dynamics · Physics 2015-06-22 Maria L. Ekiel-Jezewska , B. U. Felderhof

We study the autophoretic motion of a spherical active particle interacting chemically and hydrodynamically with its fluctuating environment in the limit of rapid diffusion and slow viscous flow. Then, the chemical and hydrodynamic fields…

Soft Condensed Matter · Physics 2024-11-04 Günther Turk , Ronojoy Adhikari , Rajesh Singh

Molecular dynamics simulations are used to study the behavior of closely-fitting spherical and ellipsoidal particles moving through a fluid-filled cylinder at nanometer scales. The particle, the cylinder wall and the fluid solvent are all…

Soft Condensed Matter · Physics 2007-05-23 German Drazer , Boris Khusid , Joel Koplik , Andreas Acrivos

Systems of spherical particles moving in Stokes flow are studied for a different particle internal structure and boundaries, including the Navier-slip model. It is shown that their hydrodynamic interactions are well described by treating…

Soft Condensed Matter · Physics 2015-06-18 Bogdan Cichocki , Maria L. Ekiel-Jezewska , Eligiusz Wajnryb

We report an experimental study on the manipulation of colloidal particles in a drop sitting on a hydrogel. The manipulation is achieved by diffusiophoresis, which describes a directed motion of particles induced by solute gradients. By…

Soft Condensed Matter · Physics 2017-10-17 François Boulogne , Sangwoo Shin , Julien Dervaux , Laurent Limat , Howard A. Stone

Biological membranes are self-assembled complex fluid interfaces that host proteins, molecular motors and other macromolecules essential for cellular function. These membranes have a distinct in-plane fluid response with a surface viscosity…

Fluid Dynamics · Physics 2023-06-21 Vishnu Vig , Harishankar Manikantan

In this work we investigate the dynamical properties of a mixture of mutually interacting spherical molecules of different masses and sizes. From an analysis of the microscopic laws governing the motion of the molecules we derive a set of…

Soft Condensed Matter · Physics 2011-02-15 Umberto Marini Bettolo Marconi

The dynamics of colloid-size particles trapped at a liquid interface is an extensively studied problem owing to its relevance to a wide range of engineering applications. Here we investigate the impact of interfacial deformations on the…

Soft Condensed Matter · Physics 2024-10-15 Zhi Zhou , Petia M. Vlahovska , Michael J. Miksis

The diffusion in two dimensions of non-interacting active particles that follow an arbitrary motility pattern is considered for analysis. Accordingly, the transport equation is generalized to take into account an arbitrary distribution of…

Statistical Mechanics · Physics 2020-09-01 Francisco J. Sevilla

It is intuitive that the diffusivity of an isolated particle differs from those in a monodisperse suspension, in which hydrodynamic interactions between the particles are operative. Batchelor (1976,1983) calculated how hydrodynamic…

Fluid Dynamics · Physics 2019-07-12 Navaneeth K. Marath , John S. Wettlaufer

The propulsion of active particles by self-diffusiophoresis is driven by asymmetric catalytic reactions on the particle surface that generate a mechanochemical coupling between the fluid velocity and the concentration fields of fuel and…

Statistical Mechanics · Physics 2018-12-24 Pierre Gaspard , Raymond Kapral

To describe many-particle systems suspended in incompressible low-Reynolds-number fluids, effective hydrodynamic interactions can be introduced. Here, we consider particles embedded in elastic media. The effective elastic interactions…

Soft Condensed Matter · Physics 2017-02-07 Mate Puljiz , Shilin Huang , Günter K. Auernhammer , Andreas M. Menzel

A generalized reciprocal theorem is formulated for the motion and hydrodynamic force moments of an active particle in an arbitrary background flow of a (weakly nonlinear) complex fluid. This formalism includes as special cases a number of…

Fluid Dynamics · Physics 2017-10-11 Gwynn J. Elfring

We construct a boundary integral representation for the low-Reynolds-number flow in a channel in the presence of freely-suspended particles (or droplets) of arbitrary size and shape. We demonstrate that lubrication theory holds away from…

Fluid Dynamics · Physics 2018-01-17 Itzhak Fouxon , Zhouyang Ge , Luca Brandt , Alexander Leshansky

A micro-hydrodynamics model based on elastic collisions of light point solvent particles with a heavy solute particle is investigated in the setting where the light particles have velocity distribution corresponding to a background flow.…

Fluid Dynamics · Physics 2023-11-21 Radek Erban , Robert A. Van Gorder

A multiscale theory of interacting continuum mechanics and thermodynamics of mixtures of fluids, electrodynamics, polarization and magnetization is proposed. The mechanical (reversible) part of the theory is constructed in a purely…

Classical Physics · Physics 2020-08-26 Petr Vagner , Michal Pavelka , Ogul Esen

Controlling interactions out of thermodynamic equilibrium is crucial for designing addressable and functional self-organizing structures. These active interactions also underpin collective behavior in biological systems. Here we study a…

Soft Condensed Matter · Physics 2017-08-23 Hidenori Tanaka , Alpha A. Lee , Michael P. Brenner

Self-propulsion allows living systems to display unusual collective behavior. Unlike passive systems in thermal equilibrium, active matter systems are not constrained by conventional thermodynamic laws. A question arises however as to what…

Soft Condensed Matter · Physics 2015-03-18 Sho C. Takatori , John F. Brady
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