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The time dependency of the diffusion coefficient of particles in porous media is an efficient probe of their geometry. The analysis of this quantity, measured e.g. by nuclear magnetic resonance (PGSE-NMR), can provide rich information…

Soft Condensed Matter · Physics 2013-02-13 Maximilien Levesque , Olivier Bénichou , Benjamin Rotenberg

The propagation characteristics of fluid vortices, particularly monopoles and dipoles, in a homogeneous viscoelastic fluid were reported in a recent publication [ Phys. Plasmas 23, 013707 (2016)]. In that study, a dusty plasma was modeled…

Fluid Dynamics · Physics 2025-05-13 Vipul B. Rohit , Vikram S. Dharodi , Sharad K. Yadav

A model for diffusion in liquids that couples the dynamics of tracer particles to a fluctuating Stokes equation for the fluid is investigated in the limit of large Schmidt number. In this limit, the concentration of tracers is shown to…

Statistical Mechanics · Physics 2014-04-03 A. Donev , T. G. Fai , and E. Vanden-Eijnden

At low temperatures, in very clean two-dimensional (2D) samples the electron mean free path for collisions with static defects and phonons becomes greater than the sample width. Under this condition, the electron transport occurs by…

Mesoscale and Nanoscale Physics · Physics 2016-12-15 P. S. Alekseev

The flow of viscoelastic fluids in channels and pipes remain poorly understood, particularly at low Reynolds numbers. Here, we investigate the flow of polymeric solutions in straight channels using pressure measurements and particle…

Fluid Dynamics · Physics 2019-11-13 Boyang Qin , Paul F. Salipante , Steven D. Hudson , Paulo E. Arratia

In this paper, we establish the existence of Stokes waves with piecewise smooth vorticity in a two-dimensional, infinitely deep fluid domain. These waves represent traveling water waves propagating over sheared currents in a semi-infinite…

Analysis of PDEs · Mathematics 2025-11-07 Changfeng Gui , Jun Wang , Wen Yang , Yong Zhang

We perform numerical simulations of a turbulent channel flow over an hyper-elastic wall. In the fluid region the flow is governed by the incompressible Navier-Stokes (NS) equations, while the solid is a neo-Hookean material satisfying the…

Fluid Dynamics · Physics 2017-11-22 Marco E. Rosti , Luca Brandt

We investigate the stabilization mechanisms due to viscous forces in the invasion front during drainage displacement in two-dimensional porous media using a network simulator. We find that in horizontal displacement the capillary pressure…

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

Interactions in electron systems can lead to viscous flows in which correlations allow electrons to avoid disorder scattering, reducing momentum loss and dissipation. We illustrate this behavior in a viscous pinball model, describing…

Mesoscale and Nanoscale Physics · Physics 2017-01-03 Haoyu Guo , Ekin Ilseven , Gregory Falkovich , Leonid Levitov

This paper concerns a diffuse interface model for the flow of two incompressible viscoelastic fluids in a bounded domain. More specifically, the fluids are assumed to be macroscopically immiscible, but with a small transition region, where…

Analysis of PDEs · Mathematics 2024-11-15 Yadong Liu , Dennis Trautwein

We study steady streaming in a channel between two parallel permeable walls induced by oscillating (in time) blowing/suction at the walls. We obtain an asymptotic expansion of the solution of the Navier-Stokes equations in the limit when…

Fluid Dynamics · Physics 2019-02-20 Konstantin Ilin

Transport of viscous fluid through porous media is a direct consequence of the pore structure. Here we investigate transport through a specific class of two-dimensional porous geometries, namely those formed by fluid-mechanical erosion. We…

Fluid Dynamics · Physics 2020-05-20 Shang-Huan Chiu , M. N. J. Moore , Bryan D. Quaife

Experimental measurements of properties of the large-scale circulation (LSC) in turbulent convection of a fluid heated from below in a cylindrical container of aspect ratio one are presented and used to test a model of diffusion in a…

Fluid Dynamics · Physics 2009-11-13 Eric Brown , Guenter Ahlers

At high energies, elastic hadronic cross sections are believed to be dominated by vacuum exchange. In leading order of the leading $1/N_c$ expansion this exchange process has been identified as the BFKL {\em Pomeron} or its strong AdS dual…

High Energy Physics - Phenomenology · Physics 2009-11-19 Richard Brower , Marko Djuric , Chung-I Tan

We study the exchange and correlation hole of the valence shell of second row atoms using variational Monte Carlo techniques, especially correlated estimates, and norm-conserving pseudopotentials. The well-known scaling of the valence shell…

Atomic Physics · Physics 2012-06-06 Antonio C. Cancio , C. Y. Fong

The long wavelength diffusion coefficient of a critical fluid confined between two parallel plates separated by a distance L is strongly affected by the finite size. Finite size scaling leads us to expect that the vanishing of the diffusion…

Statistical Mechanics · Physics 2009-11-10 Palash Das , Jayanta K. Bhattacharjee

In ultra-pure conductors, collective motion of charge carriers at relatively high temperatures may become hydrodynamic such that electronic transport may be described similarly to a viscous flow. In confined geometries (e.g., in ultra-high…

Strongly Correlated Electrons · Physics 2018-09-12 P. S. Alekseev , A. P. Dmitriev , I. V. Gornyi , V. Yu. Kachorovskii , B. N. Narozhny , M. Titov

In the decay region around the centreline of three qualitatively different turbulent plane wakes, the turbulence is non-homogeneous and two-point turbulent diffusion counteracts the turbulence cascade all the way down to scales smaller than…

Fluid Dynamics · Physics 2026-01-09 Ernesto Fuentes Noriega , John Christos Vassilicos

Fluids confined to quasi-one-dimensional channels exhibit a dynamic crossover from single file diffusion to normal diffusion as the channel becomes wide enough for particles to hop past each other. In the crossover regime, where hopping…

Soft Condensed Matter · Physics 2019-07-24 Sheida Ahmadi , Marina Schmidt , Raymond J. Spiteri , Richard K. Bowles

In this paper we revisit the issue of the propagation of warps in thin and viscous accretion discs. In this regime warps are know to propagate diffusively, with a diffusion coefficient approximately inversely proportional to the disc…

High Energy Astrophysical Phenomena · Physics 2015-05-18 G. Lodato , D. Price