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Near-boundary Brownian motion is a classic hydrodynamic problem of great importance in a variety of fields, from biophysics to micro-/nanofluidics. However, due to challenges in experimental measurements of near-boundary dynamics, the…

Fluid Dynamics · Physics 2016-08-09 Kai Huang , Izabela Szlufarska

We investigate a diffusive motion of a system of interacting Brownian particles in quasi-one-dimensional micropores. In particular, we consider a semi-infinite 1D geometry with a partially absorbing boundary and the hard-core inter-particle…

Statistical Mechanics · Physics 2012-03-06 Artem Ryabov , Petr Chvosta

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

Hypothesis: The collective dynamics and self-assembly of colloids floating at a fluid/fluid interface is a balance between deterministic lateral interaction forces, viscous resistance to colloid motion along the surface and thermal…

Soft Condensed Matter · Physics 2022-10-05 Archit Dani , Mohsen Yeganeh , Charles Maldarelli

The diffusive transport of biased Brownian particles in a two-dimensional symmetric channel is investigated numerically considering both the no-flow and the reflection boundary conditions at the channel boundaries. Here, the geometrical…

Soft Condensed Matter · Physics 2019-09-10 Narender Khatri , P. S. Burada

We have studied the correlated Brownian motion of micron-sized particles suspended in water and confined between two plates. The hydrodynamic interaction between the particles exhibits three anomalies. (i) The transverse coupling is…

Soft Condensed Matter · Physics 2007-05-23 Bianxiao Cui , Haim Diamant , Binhua Lin , Stuart A. Rice

We computationally study the behavior of underdamped active Brownian particles in a sheared channel geometry. Due to their underdamped dynamics, the particles carry momentum a characteristic distance away from the boundary before it is…

Soft Condensed Matter · Physics 2019-10-23 Caleb G. Wagner , Michael F. Hagan , Aparna Baskaran

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

Elastic confinements are an important component of many biological systems and dictate the transport properties of suspended particles under flow. In this chapter, we review the Brownian motion of a particle moving in the vicinity of a…

Soft Condensed Matter · Physics 2022-10-28 Abdallah Daddi-Moussa-Ider , Stephan Gekle

Brownian motion near soft surfaces is a situation widely encountered in nanoscale and biological physics. However, a complete theoretical description is lacking to date. Here, we theoretically investigate the dynamics of a two-dimensional…

Soft Condensed Matter · Physics 2025-10-01 Yilin Ye , Yacine Amarouchene , Raphaël Sarfati , David S. Dean , Thomas Salez

The evolution of an initially prepared distribution of micron sized colloidal particles, trapped at a fluid interface and under the action of their mutual capillary attraction, is analyzed by using Brownian dynamics simulations. At a…

Soft Condensed Matter · Physics 2011-11-29 J. Bleibel , A. Dominguez , M. Oettel , S. Dietrich

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

Brownian motion is the perpetual irregular motion exhibited by small particles immersed in a fluid. Such random motion of the particles is produced by statistical fluctuations in the collisions they suffer with the molecules of the…

Physics Education · Physics 2007-05-23 Kasturi Basu , Kopinjol Baishya

Confined motions in complex environments are ubiquitous in microbiology. These situations invariably involve the intricate coupling between fluid flow, soft boundaries, surface forces and fluctuations. In the present study, such a coupling…

Soft Condensed Matter · Physics 2024-05-24 Nicolas Fares , Maxime Lavaud , Zaicheng Zhang , Aditya Jha , Yacine Amarouchene , Thomas Salez

We study the Brownian motion of a charged colloid, confined between two charged walls, for small separation between the colloid and the walls. The system is embedded in an ionic solution. The combined effect of electrostatic repulsion and…

Soft Condensed Matter · Physics 2021-04-28 Y. Avni , S. Komura , D. Andelman

Brownian motion is the erratic motion of an object due to collisions with the fluid in which it is immersed. In this work, we detail a tabletop laboratory demonstration of underdamped Brownian motion wherein a macroscopic particle resting…

Physics Education · Physics 2025-12-19 Jack-William Barotta , Caroline M. Barotta , Eli Silver , Daniel M. Harris

We study experimentally and theoretically the hydrodynamic coupling between Brownian colloidal particles diffusing along a linear channel. The quasi-one-dimensional confinement, unlike other constrained geometries, leads to a sharply…

Soft Condensed Matter · Physics 2007-05-23 Bianxiao Cui , Haim Diamant , Binhua Lin

Diffusive transport of particles or, more generally, small objects is a ubiquitous feature of physical and chemical reaction systems. In configurations containing confining walls or constrictions transport is controlled both by the…

Statistical Mechanics · Physics 2009-01-22 P. Sekhar Burada , Peter Hanggi , Fabio Marchesoni , Gerhard Schmid , Peter Talkner

We study quasi two-dimensional, monodisperse systems of active Brownian particles (ABPs) for a range of activities, stiffnesses, and densities. We develop a microscopic, analytical method for predicting the dense phase structure formed…

Soft Condensed Matter · Physics 2021-06-24 Nicholas Lauersdorf , Thomas Kolb , Moslem Moradi , Ehssan Nazockdast , Daphne Klotsa

We study a diffusion approximation for a model of stochastic motion of a particle in one spatial dimension. The velocity of the particle is constant but the direction of the motion undergoes random changes with a Poisson clock. Moreover,…

Functional Analysis · Mathematics 2022-04-21 Adam Bobrowski , Tomasz Komorowski
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