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Laminar-turbulent pattern formation is a distinctive feature of the intermittency regime in subcritical plane shear flows. By performing extensive numerical simulations of the plane channel flow, we show that the pattern emerges from a…

Fluid Dynamics · Physics 2022-12-16 Pavan V. Kashyap , Yohann Duguet , Olivier Dauchot

The dynamic conformal transformation method has been generalized for the first time to numerically simulate the capillary wave turbulence of a liquid surface in the plane symmetric anisotropic geometry. The model is strongly nonlinear and…

Fluid Dynamics · Physics 2024-03-20 Evgeny Kochurin

We consider a mixture of passive (i.e., Brownian) and active (e.g., bacterial or colloidal swimmers) particles, and analyze the stability conditions of either uniformly mixed or phase segregated steady states consisting of phases enriched…

Statistical Mechanics · Physics 2015-09-21 Alexander Y. Grosberg , Jean-François Joanny

Mixing in numerous medical and chemical applications, involving overly long microchannels, can be enhanced by inducing flow instabilities. The channel length, is thus shortened in the inertial microfluidics regime due to the enhanced…

Fluid Dynamics · Physics 2019-05-13 Saunak Sengupta , Sukhendu Ghosh , Sandeep Saha , Suman Chakraborty

Cell division and death can be regulated by the mechanical forces within a tissue. We study the consequences for the stability and roughness of a propagating interface, by analysing a model of mechanically-regulated tissue growth in the…

Biological Physics · Physics 2018-12-12 John J. Williamson , Guillaume Salbreux

The topic of interface effects in wave propagation has attracted great attention due to their theoretical significance and practical importance. In this paper we study nonlinear oscillatory systems consisting of two media separated by an…

Chaotic Dynamics · Physics 2009-11-13 Xiaohua Cui , Xiaoqing Huang , Zhoujian Cao , Hong Zhang , Gang Hu

We investigate dynamics of large scale and slow deformations of layered structures. Starting from the respective model equations for a non-conserved system, a conserved system and a binary fluid, we derive the interface equations which are…

Soft Condensed Matter · Physics 2009-10-30 Takao Ohta , David Jasnow

We investigate the stabilization mechanisms of the invasion front in two-dimensional drainage displacement in porous media by using a network simulator. We focus on the process when the front stabilizes due to the viscous forces in the…

Fluid Dynamics · Physics 2009-10-31 Eyvind Aker , Knut Jorgen Maloy , Alex Hansen

This fluid dynamics video shows high-frequency capillary waves excited by the volumetric oscillations of microbubbles near a free surface. The frequency of the capillary waves is controlled by the oscillation frequency of the microbubbles,…

Fluid Dynamics · Physics 2013-10-15 Angelo Pommella , Jeanne Lantz , Vincent Poulichet , Valeria Garbin

Within a general framework we study the effective, deformation-induced interaction between two colloids trapped at a fluid interface. As an application, we consider the interface deformation owing to the electrostatic field of charged…

Soft Condensed Matter · Physics 2007-05-23 Alvaro Dominguez , Martin Oettel , Siegfried Dietrich

We report an instability exhibited by a fluid system when coupling two distinct types of waves, both linearly damped. While none of them is unstable on its own, they amplify one another, resulting in a previously unreported convective…

Soft Condensed Matter · Physics 2025-03-05 Grégoire Le Lay , Adrian Daerr

We study the role of the capillary number, $Ca$ and of the surface wettability on the dynamics of the interface between an invading and a defending phase in a porous medium by means of numerical simulations. We employ a hybrid phase…

While equilibrium interfaces display universal large-scale statistics, interfaces in phase-separated active and driven systems are predicted to belong to distinct non-equilibrium universality classes. Yet, such behavior has proven difficult…

Statistical Mechanics · Physics 2026-04-08 Raphaël Maire , Andrea Plati , Frank Smallenburg , Giuseppe Foffi

We study the structure and dynamics of the interface separating a passive fluid from a microtubule-based active fluid. Turbulent-like active flows power giant interfacial fluctuations, which exhibit pronounced asymmetry between regions of…

The Rayleigh capillary instability of a cylindrical interface between two immiscible fluids is one of the most fundamental in fluid dynamics. As Plateau observed from energetic considerations and Rayleigh clarified through hydrodynamics,…

Soft Condensed Matter · Physics 2009-10-30 Thomas R. Powers , Dengfu Zhang , Raymond E. Goldstein , Howard A. Stone

Interactions between an internal flow and wall deformation occur in many biological systems. Such interactions can involve a complex and rich dynamical behavior and a number of peculiarities which depend on the flow parameter range. The aim…

Fluid Dynamics · Physics 2019-03-11 Mustapha Amaouche , Giuseppe Di Labbio

Secondary instabilities of Faraday waves show three regimes: (1) As seen previously, low-viscosity (nu) fluids destabilize first into squares. At higher driving accelerations a, squares show low-frequency modulations corresponding to the…

patt-sol · Physics 2009-10-28 Laurent Daudet , Valerie Ego , Sebastien Manneville , John Bechhoefer

Phoretic mechanisms, whereby gradients of chemical solutes induce surface-driven flows, have recently been used to generate directed propulsion of patterned colloidal particles. When the chemical solutes diffuse slowly, an instability…

Fluid Dynamics · Physics 2019-12-18 Sébastien Michelin , Simon Game , Eric Lauga , Eric Keaveny , Demetrios Papageourgiou

We present an introduction to modern theories of interfacial fluctuations and the associated interfacial parameters: surface tension and surface stiffness, as well as their interpretation within the capillary wave model. Transfer matrix…

Condensed Matter · Physics 2014-10-13 Vladimir Privman

The analysis of wave patterns in a structure which possesses periodicity in the spatial and temporal dimensions is presented. The topic of imperfect chiral interfaces is also considered. Although causality is fundamental for physical…

Analysis of PDEs · Mathematics 2022-08-10 A. B. Movchan , N. V. Movchan , I. S. Jones , G. W. Milton , H. -M. Nguyen