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We obtain the large scale limit of the fluctuations around its hydrodynamic limit of the density of particles of a weakly asymmetric exclusion process in dimension up to three. The proof is based upon a sharp estimate on the relative…

概率论 · 数学 2018-10-24 Milton Jara , Otávio Menezes

When a drop laden with solid particles and suspended in a liquid passes through a narrow pore, its interface experiences strong shear and elongation, and the raft of particles may accumulate toward the back of the drop. Using well…

软凝聚态物质 · 物理学 2022-10-19 Franz de Soete , Nicolas Passade-Boupat , Laurence Talini , François Lequeux , Emilie Verneuil

The properties of liquid dispersions, such as foams or emulsions, depend strongly on the volume fraction $\phi$ of the continuous phase. Concentrating on the example of foams, we show experimentally and theoretically that $\phi$ may be…

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…

软凝聚态物质 · 物理学 2022-10-05 Archit Dani , Mohsen Yeganeh , Charles Maldarelli

A body immersed in a supersaturated fluid like carbonated water can accumulate a dynamic field of bubbles upon its surface. If the body is mobile, the attached bubbles can lift it upward against gravity, but a fluid-air interface can clean…

流体动力学 · 物理学 2024-05-10 Saverio E. Spagnolie , Samuel Christianson , Carsen Grote

This paper concerns the dynamics of a layer of incompressible viscous fluid lying above a vertically oscillating rigid plane and with an upper boundary given by a free surface. We consider the problem with gravity and surface tension for…

偏微分方程分析 · 数学 2019-05-14 David Altizio , Ian Tice , Xinyu Wu , Taisuke Yasuda

Using coarse grained models we investigate the behavior of water adjacent to an extended hydrophobic surface peppered with various fractions of hydrophilic patches of different sizes. We study the spatial dependence of the mean interface…

统计力学 · 物理学 2014-09-09 Adam P. Willard , David Chandler

We study the relative translation of two arbitrarily shaped objects, caused by their hydrodynamic interaction as they are forced through a viscous fluid in the limit of zero Reynolds number. It is well known that in the case of two rigid…

流体动力学 · 物理学 2016-05-03 Tomer Goldfriend , Haim Diamant , Thomas A. Witten

We study the mechanical contact between a deformable body with a wavy surface and a rigid flat taking into account pressurized fluid trapped in the interface. A finite element model is formulated for a general problem of trapped fluid for…

流体动力学 · 物理学 2021-03-23 Andrei G. Shvarts , Vladislav A. Yastrebov

The matching conditions at the interface between two non-mixed fluids at rest are obtained directly using the equation of movement of the whole media. This is a non-usual point of view in hydrodynamics courses and our aim is to fix ideas…

物理教育 · 物理学 2007-05-23 Arezky H. Rodriguez , J. Marin-Antuna , H. Rodriguez-Coppola

Biological organisms swimming at low Reynolds number are often influenced by the presence of rigid boundaries and soft interfaces. In this paper we present an analysis of locomotion near a free surface with surface tension. Using a…

流体动力学 · 物理学 2015-03-13 Darren Crowdy , Sungyon Lee , Ophir Samson , Eric Lauga , A. E. Hosoi

The localized loading of an elastic sheet floating on a liquid bath occurs at scales from a frog sitting on a lily pad to a volcano supported by the Earth's tectonic plates. The load is supported by a combination of the stresses within the…

软凝聚态物质 · 物理学 2017-11-01 Finn Box , Dominic Vella , Robert Style , Jerome A. Neufeld

We derive here a new stability criterion for two-fluid interfaces. This criterion ensures the existence of "stable" local solutions that do no break down too fast due to Kelvin-Helmholtz instabilities. It can be seen both as a two-fluid…

偏微分方程分析 · 数学 2010-05-31 David Lannes

Reciprocal movement cannot be used for locomotion at low-Reynolds number in an infinite fluid or near a rigid surface. Here we show that this limitation is relaxed for a body performing reciprocal motions near a deformable interface. Using…

软凝聚态物质 · 物理学 2008-10-02 Renaud Trouilloud , Tony S. Yu , A. E. Hosoi , Eric Lauga

The fluid-fluid interface is a complex environment for a floating object where the statics and dynamics may be governed by capillarity, gravity, inertia, and other external body forces. Yet, the alignment of these forces in intricate ways…

流体动力学 · 物理学 2024-03-25 Paul R. Kaneelil , J. Pedro de Souza , Günther Turk , Amir A. Pahlavan , Howard A. Stone

The no-slip boundary condition at a solid-liquid interface is at the center of our understanding of fluid mechanics. However, this condition is an assumption that cannot be derived from first principles and could, in theory, be violated. We…

软凝聚态物质 · 物理学 2008-10-12 Eric Lauga , Michael P. Brenner , Howard A. Stone

We study the boundary conditions at a fluid-solid interface using molecular dynamics simulations covering a broad range of fluid-solid interactions and fluid densities, and both simple and chain-molecule fluids. The slip length is shown to…

统计力学 · 物理学 2009-10-31 Marek Cieplak , Joel Koplik , Jayanth R. Banavar

The roughening behavior of a one-dimensional interface fluctuating under quenched disorder growth is examined while keeping an anchored boundary. The latter introduces detailed balance conditions which allows for a thorough analysis of…

统计力学 · 物理学 2007-05-23 M. D. Grynberg

Molecular dynamics simulations have been performed to study frictional slip and its influence on energy dissipation and momentum transfer at atomically smooth solid/water interfaces. By modifying surface chemistry, we investigate the…

流体动力学 · 物理学 2016-08-08 Kai Huang , Izabela Szlufarska

We investigate the interaction of waves with surface flows by considering the full set of conserved quantities, subtle but important surface elevation changes induced by wave packets and by directly considering the necessary forces to…

大气与海洋物理 · 物理学 2014-08-26 Clifford Chafin