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We survey the theory synchronization in collections of noisy oscillators. This framework is applied to flagellar synchronization by hydrodynamic interactions. The time-reversibility of hydrodynamics at low Reynolds numbers prompts swimming…

Cell Behavior · Quantitative Biology 2016-11-23 B. M. Friedrich

Active colloids self-organise to a variety of collective states, ranging from highly motile 'molecules' to complex 3D structures. Using large-scale simulations, we show that hydrodynamic interactions, together with a gravity-like aligning…

Soft Condensed Matter · Physics 2020-03-31 Zaiyi Shen , Alois Würger , Juho S. Lintuvuori

Cellular biology abound with filaments interacting through fluids, from intracellular microtubules, to rotating flagella and beating cilia. While previous work has demonstrated the complexity of capturing nonlocal hydrodynamic interactions…

Fluid Dynamics · Physics 2016-12-21 Yi Man , Lyndon Koens , Eric Lauga

We theoretically study in detail the hydrodynamic coupling of two equal-sized colloidal spheres at low Reynolds numbers assuming the particles to be harmonically trapped with respect to both their positions and orientations. By taking into…

Soft Condensed Matter · Physics 2007-05-23 Michael Reichert , Holger Stark

Hydrodynamic interactions can generate rich emergent structures in active matter systems. Using large-scale hydrodynamic simulations, we demonstrate that hydrodynamic coupling alone can drive spontaneous self-organization across a hierarchy…

Soft Condensed Matter · Physics 2025-11-17 Zaiyi Shen , Leilei Wang , Shishuang Zhang , Chenlu Li , Kaili Xie , Xu Zheng , Juho S. Lintuvuori

When a millimetric body is placed atop a vibrating liquid bath, the relative motion between the object and interface generates outward propagating waves with an associated momentum flux. Prior work has shown that isolated chiral objects,…

Soft Condensed Matter · Physics 2025-02-28 Jack-William Barotta , Giuseppe Pucci , Eli Silver , Alireza Hooshanginejad , Daniel M. Harris

It is now well established that nearby beating pairs of eukaryotic flagella or cilia typically synchronize in phase. A substantial body of evidence supports the hypothesis that hydrodynamic coupling between the active filaments, combined…

Soft Condensed Matter · Physics 2016-10-12 Raymond E. Goldstein , Eric Lauga , Adriana I. Pesci , Michael R. E. Proctor

In this paper, we propose a new algorithm based on radial symmetry center method to track colloidal particles close to contact, where the optical images of the particles start to overlap in digital video microscopy. This overlapping effect…

Instrumentation and Detectors · Physics 2017-10-26 Harun Yücel , Nazmi Turan Okumuşoğlu

We introduce a phenomenological theory for a new class of soft active fluids, with the ability to synchronise. Our theoretical framework describes the macroscopic behaviour of a collection of interacting anisotropic elements with cyclic…

Soft Condensed Matter · Physics 2015-06-16 M. Leoni , T. B. Liverpool

We investigate experimentally the single-particle motion in water of silica colloidal beads half-coated with carbon under the action of a converging laser beam. The beads are self-propelled in this medium by means of self-thermophoresis…

Soft Condensed Matter · Physics 2026-03-18 Farshad Darabi , Juan Ruben Gomez-Solano

The flow-driven transport of interacting micron-sized particles occurs in many soft matter systems spanning from the translocation of proteins to moving emulsions in microfluidic devices. Here we combine experiments and theory to…

Soft Condensed Matter · Physics 2022-11-16 Dominik Lips , Eric Cereceda-López , Antonio Ortiz-Ambriz , Pietro Tierno , Artem Ryabov , Philipp Maass

The acoustic levitation of small particles provides a versatile platform to investigate the collective dynamical properties of self-assembled many-body systems in the presence of hydrodynamic coupling. However, acoustic scattering forces…

Soft Condensed Matter · Physics 2022-11-08 Brady Wu , Bryan VanSaders , Melody X. Lim , Heinrich M. Jaeger

We introduce a generic model of weakly non-linear self-sustained oscillator as a simplified tool to study synchronisation in a fluid at low Reynolds number. By averaging over the fast degrees of freedom, we examine the effect of…

Soft Condensed Matter · Physics 2015-06-04 M. Leoni , T. B. Liverpool

We calculate the hydrodynamic flow field generated far from a cilium which is attached to a surface and beats periodically. In the case of two beating cilia, hydrodynamic interactions can lead to synchronization of the cilia, which are…

Biological Physics · Physics 2007-05-23 Andrej Vilfan , Frank Julicher

Cilia and flagella in biological systems often show large scale cooperative behaviors such as the synchronization of their beats in "metachronal waves". These are beautiful examples of emergent dynamics in biology, and are essential for…

Soft Condensed Matter · Physics 2016-04-20 Nicolas Bruot , Pietro Cicuta

A density oscillator is a fluid system in which oscillatory flow occurs between different density fluids through the pore connecting them. We investigate the synchronization in coupled density oscillators using two-dimensional hydrodynamic…

Pattern Formation and Solitons · Physics 2023-03-27 Nana Takeda , Hiroaki Ito , Hiroyuki Kitahata

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

A colloidal monolayer embedded in the bulk of a fluid experiences a "compressible", long-range hydrodynamic interaction which, far from boundaries, leads to a breakdown of Fick's law above a well defined length scale, showing up as…

Soft Condensed Matter · Physics 2026-05-12 M. Chamorro-Burgos , Alvaro Domínguez

A density functional theory for colloidal dynamics is presented which includes hydrodynamic interactions between the colloidal particles. The theory is applied to the dynamics of colloidal particles in an optical trap which switches…

Soft Condensed Matter · Physics 2009-11-13 M. Rex , H. Loewen

The nature of emergent collective behaviors of moving physical agents interacting with their neighborhood is a long-standing open issue in physical and biological systems alike. This calls for studies on the control of synchronization and…

Statistical Mechanics · Physics 2017-08-11 Tirthankar Banerjee , Abhik Basu