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Motile cilia drive biological fluid transport through whip-like beating motions that synchronize into metachronal waves. The lengths of these cilia span three orders of magnitude, from microns in human airways to millimeters in ctenophores.…

Metachronal paddling is a swimming strategy in which an organism oscillates sets of adjacent limbs with a constant phase lag, propagating a metachronal wave through its limbs and propelling it forward. This limb coordination strategy is…

Fluid Dynamics · Physics 2025-07-28 Alana A. Bailey , Robert D. Guy

A system of active colloidal particles driven by harmonic potentials to oscillate about the vertices of a regular polygon, with hydrodynamic coupling between all particles, is described by a piece-wise linear model which exhibits various…

Statistical Mechanics · Physics 2013-05-30 Giovanni M. Cicuta , Enrico Onofri , Marco Cosentino Lagomarsino , Pietro Cicuta

We introduce the concept of a metasurface system able to route space wave via surface waves. This concept may be used to laterally shift or modulate the beam width of scattered waves. We propose two corresponding synthesis techniques, one…

Optics · Physics 2016-12-19 Karim Achouri , Christophe Caloz

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

We study the dynamics of surface waves on a semi-toroidal ring of water that is excited by vertical vibration. We create this specific fluid volume by patterning a glass plate with a hydrophobic coating, which confines the fluid to a…

Fluid Dynamics · Physics 2007-06-24 Sunghwan Jung , Erica Kim , Michael Shelley , Jun Zhang

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

Hydrodynamic and magnetohydrodynamic numerical studies of a mechanically forced two-vortex flow inside a sphere are reported. The simulations are performed in the intermediate regime between the laminar flow and developed turbulence where a…

Fluid Dynamics · Physics 2015-05-14 K. Reuter , F. Jenko , A. Tilgner , C. B. Forest

Flagella are hair-like appendages attached to microorganisms that allow the organisms to traverse their fluid environment. The algae Volvox are spherical swimmers with thousands of individual flagella on their surface and their coordination…

Fluid Dynamics · Physics 2020-10-07 Forest Mannan , Miika Jarvela , Karin Leriderman

Periodic structures are a type of metamaterial in which the physical properties depend not only on the details of the unit cell but also on how unit cells are arranged and interact with each other. In conventional engineering structures,…

Applied Physics · Physics 2022-05-27 Sudesh Pathak , Gagan Dangi , Farhad Farzbod

The present work reports the formation and the characterization of antipleptic and symplectic metachronal waves in 3D cilia arrays immersed in a two-fluid environment, with a viscosity ratio of 20. A coupled…

Biological Physics · Physics 2017-08-02 Sylvain Chateau , Julien Favier , Umberto D 'Ortona , Sébastien Poncet

We introduce a novel type of surface waves that form at the edge of guiding structures consisting of several concentric rings. Such surface waves rotate steadily upon propagation and, in contrast to nonrotating waves, for high rotation…

Optics · Physics 2009-11-13 Yaroslav V. Kartashov , Victor A. Vysloukh , Lluis Torner

We construct small-amplitude periodic water waves with multiple critical layers. In addition to waves with arbitrarily many critical layers and a single crest in each period, two-dimensional sets of waves with several crests and troughs in…

Analysis of PDEs · Mathematics 2011-04-04 Mats Ehrnström , Joachim Escher , Erik Wahlén

Generation of Faraday waves in superfluid Fermi-Bose mixtures in elongated traps is investigated. The generation of waves is achieved by periodically changing a parameter of the system in time. Two types of modulations of parameters are…

Pattern Formation and Solitons · Physics 2013-02-19 F. Kh. Abdullaev , M. Ogren , M. P. Soerensen

We present and analyze a theoretical model for the dynamics and interactions of "capillary surfers," which are millimetric objects that self-propel while floating at the interface of a vibrating fluid bath. In our companion paper [1], we…

Fluid Dynamics · Physics 2024-11-25 Anand U. Oza , Giuseppe Pucci , Ian Ho , Daniel M. Harris

The propagation of wave disturbances over a vertically oscillating liquid may form standing waves, known as Faraday waves. Here we present an alternative description of the generation and evolution of Faraday waves by nonlinear resonant…

Fluid Dynamics · Physics 2017-01-04 Usama Kadri

Three-dimensional excitable systems can create nonlinear scroll waves that rotate around one-dimensional phase singularities. Recent theoretical work predicts that these filaments drift along step-like height variations. Here we test this…

Pattern Formation and Solitons · Physics 2015-03-19 Hua Ke , Zhihui Zhang , Oliver Steinbock

We describe the emergence and interactions of breather modes and resonant wave modes within a two-dimensional ring-like oscillator chain in a microcanonical situation. Our analytical results identify different dynamical regimes…

Chaotic Dynamics · Physics 2014-10-01 Torsten Gross , Dirk Hennig , Lutz Schimansky-Geier

A solitary wave is generated by impacting a dry chain of beads on one of its ends. Its speed depends on the speed $v_0$ of the striker and the details of the contact force. The time-of-flight (ToF) of the wave was measured as a function of…

Fluid Dynamics · Physics 2019-05-28 R. Labbé , L. Vergara , I. Olivares

Microorganisms are rarely found in Nature swimming freely in an unbounded fluid. Instead, they typically encounter other organisms, hard walls, or deformable boundaries such as free interfaces or membranes. Hydrodynamic interactions between…

Fluid Dynamics · Physics 2013-10-21 Marcelo A. Dias , Thomas R. Powers