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We consider the dynamics of vector fields on three-manifolds which are constrained to lie within a plane field, such as occurs in nonholonomic dynamics. On compact manifolds, such vector fields force dynamics beyond that of a gradient flow,…

动力系统 · 数学 2007-05-23 John Etnyre , Robert Ghrist

We investigate through non-equilibrium Molecular Dynamics simulations the structure and flow of fluids in functionalized nanopores. The nanopores are modeled as cylindrical structures with solvophilic and solvophobic sites. Two fluids are…

软凝聚态物质 · 物理学 2016-05-17 José Rafael Bordin , Marcia C. Barbosa

Issues relevant to the flow chirality and structure are focused, while the new theoretical results, including even a distinctive theory, are introduced. However, it is hope that the presentation, with a low starting point but a steep rise,…

流体动力学 · 物理学 2019-05-31 Wennan Zou , Jian-Zhou Zhu , Xin Liu

Despite their importance in many biological, ecological and physical processes, microorganismal fluid flows under tight confinement have not been investigated experimentally. Strong screening of Stokelets in this geometry suggests that the…

生物物理 · 物理学 2019-12-18 Raphaël Jeanneret , Dmitri O. Pushkin , Marco Polin

Two collective properties distinguishing the thin liquid water vapour interface from the bulk liquid are the anisotropy of the pressure tensor giving rise to surface tension and the orientational alignment of the molecules leading to a…

软凝聚态物质 · 物理学 2020-02-03 Chao Zhang , Michiel Sprik

We use confocal microscopy to directly visualize the spatial fluctuations in fluid flow through a three-dimensional porous medium. We find that the velocity magnitudes and the velocity components both along and transverse to the imposed…

软凝聚态物质 · 物理学 2013-08-07 Sujit S. Datta , Harry Chiang , T. S. Ramakrishnan , David A. Weitz

We consider systems of particles coupled with fluids. The particles are described by the evolution of their density, and the fluid is described by the Navier-Stokes equations. The particles add stress to the fluid and the fluid carries and…

偏微分方程分析 · 数学 2009-11-11 Peter Constantin , Charles Fefferman , Edriss Titi , Arghir Zarnescu

Electron transport in nanoscale devices can often result in nontrivial spatial patterns of voltage and current that reflect a variety of physical phenomena, particularly in nonlocal transport regimes. While numerous techniques have been…

The stationary flow field in a quasi-two-dimensional hopper is investigated experimentally. The behavior of materials consisting of beads and elongated particles with different aspect ratio is compared. We show, that while the vertical…

软凝聚态物质 · 物理学 2018-08-01 Balazs Szabo , Zsolt Kovacs , Sandra Wegner , Ahmed Ashour , David Fischer , Ralf Stannarius , Tamas Borzsonyi

The problem of continuum percolation in dispersions of rods is reformulated in terms of weighted random geometric graphs. Nodes (or sites or vertices) in the graph represent spatial locations occupied by the centers of the rods. The…

统计力学 · 物理学 2015-09-30 Avik P. Chatterjee , Claudio Grimaldi

In two-dimensional random waves, phase singularities are point-like dislocations with a behavior reminiscent of interacting particles. This -- qualitative -- consideration, stems from the spatial arrangement of these entities, which finds…

光学 · 物理学 2021-06-04 L. De Angelis , L. Kuipers

We review optical phenomena associated with the internal energy redistribution which accompany propagation and transformations of monochromatic light fields in homogeneous media. The total energy flow (linear-momentum density, Poynting…

光学 · 物理学 2026-02-24 Aleksandr Bekshaev , Konstantin Bliokh , Marat Soskin

Incompressible fluids on curved surfaces are considered with respect to the interplay between topology, geometry and fluid properties using a surface vorticity-stream function formulation, which is solved using parametric finite elements.…

流体动力学 · 物理学 2014-06-20 Sebastian Reuther , Axel Voigt

This study explores experimentally the turbulent flow in a laboratory flume, interacting with waves propagated against the flow. It focuses a region of wave-blocking for which there is a streamwise location on the water surface, where the…

流体动力学 · 物理学 2018-04-18 Debasmita Chatterjee , B. S. Mazumder , Subir Ghosh

We study the propagation of monochromatic surface waves on a turbulent flow. The flow is generated in a layer of liquid metal by an electromagnetic forcing. This forcing creates a quasi two-dimensional (2D) turbulence with strong vertical…

流体动力学 · 物理学 2015-11-19 Pablo Gutiérrez , Sébastien Aumaitre

We present a complete analysis of the problem of convection-diffusion in low Re, 2-dimensional flows with distributions of singularities, such as those found in open-space microfluidics and in groundwater flows. Using Boussinesq…

流体动力学 · 物理学 2020-03-13 Etienne Boulais , Thomas Gervais

We investigated the dynamics of highly turbulent thermally driven anabatic (upslope) flow on a physical model inside a large water tank using particle image velocimetry (PIV) and a thermocouple grid. The results showed that the flow…

流体动力学 · 物理学 2023-10-02 Roni H. Goldshmid , Dan Liberzon

Many types of point singularity have a topological index, or 'charge', associated with them. For example the phase of a complex field depending on two variables can either increase or decrease on making a clockwise circuit around a simple…

无序系统与神经网络 · 物理学 2009-11-10 Michael Wilkinson

The exponential map that characterises the flows of vector fields is the key in understanding the basic structural attributes of control systems in geometric control theory. However, this map does not exists due to the lack of completeness…

微分几何 · 数学 2022-02-11 Yanlei Zhang

Polarization singularities and topological polarization structures are generic features of inhomogeneous vector wave fields of any nature. However, their experimental studies mostly remain restricted to optical waves. Here we report…