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We study the interplay of pore-scale mixing and network-scale advection through heterogeneous porous media, and its role for the evolution and asymptotic behavior of hydrodynamic dispersion. In a Lagrangian framework, we identify three…

Fluid Dynamics · Physics 2021-04-28 Alexandre Puyguiraud , Philippe Gouze , Marco Dentz

Granular materials will segregate by particle size when subjected to shear, as occurs, for example, in avalanches. The evolution of a bidisperse mixture of particles can be modeled by a nonlinear first order partial differential equation,…

Analysis of PDEs · Mathematics 2015-05-18 Lindsay B. H. May , Michael Shearer , Karen E. Daniels

New model equations are derived for dynamics of self-aggregation of finite-size particles. Differences from standard Debye-Huckel and Keller-Segel models are: the mobility of particles depends on the configuration of their neighbors and…

Pattern Formation and Solitons · Physics 2009-11-11 Darryl D. Holm , Vakhtang Putkaradze

We report an experimental study of a binary sand bed under an oscillating water flow. The formation and evolution of ripples is observed. The appearance of a granular segregation is shown to strongly depend on the sand bed preparation. The…

Soft Condensed Matter · Physics 2007-05-23 G. Rousseaux , H. Caps , J. -E. Wesfreid

We use an acoustic Lagrangian tracking technique, particularly adapted to measurements in open flows, and a versatile material particles generator (in the form of soap bubbles with adjustable size and density) to characterize Lagrangian…

Fluid Dynamics · Physics 2009-11-13 Nauman M. Qureshi , Mickael Bourgoin , Christophe Baudet , Alain Cartellier , Yves Gagne

We study the dynamics of a suspension of magnetic nanoparticles. Their relaxation times are strongly size-dependent. The dominant mode of relaxation is also governed by the size of the particles. As a result the dynamics is greatly altered…

Soft Condensed Matter · Physics 2012-08-21 Vanchna Singh , Varsha Banerjee , Manish Sharma

A highly polydisperse granular gas is modeled by a continuous distribution of particle sizes, a, giving rise to a corresponding continuous temperature profile, T(a), which we compute approximately, generalizing previous results for binary…

Soft Condensed Matter · Physics 2009-10-12 Hildegard Uecker , W. Till Kranz , Timo Aspelmeier , Annette Zippelius

We present a mesoscopic hydrodynamic description of the dynamics of colloidal suspensions. We consider the system as a gas of Brownian particles suspended in a Newtonian heat bath subjected to stationary non-equilibrium conditions imposed…

Statistical Mechanics · Physics 2009-11-11 S. I. Hernandez , I. Santamaria-Holek , Carlos I. Mendoza , L. F. del Castillo

We study the hydrodynamical effects of two colliding shells, adopted to model internal shocks in various relativistic outflows such as gamma-ray bursts and blazars. We find that the density profiles are significantly affected by the…

Astrophysics · Physics 2009-11-10 M. Kino , A. Mizuta , A. Celotti , S. Yamada

We report experiments on the dynamics of vibrated particles constrained in a two-dimensional vertical container, motivated by the following question: how to get the most out of a given external vibration to maximize internal disorder (e.g.…

Soft Condensed Matter · Physics 2022-09-07 René Zuñiga , Germán Varas , Stéphane Job

A recent study has demonstrated that phase separation in binary liquid mixtures is arrested in the presence of elastic networks and can lead to a nearly uniformly-sized distribution of the dilute-phase droplets. At longer timescales, these…

Soft Condensed Matter · Physics 2020-10-28 Mrityunjay Kothari , Tal Cohen

The hydrodynamic Burnett equations and the associated transport coefficients are exactly evaluated for generalized inelastic Maxwell models. In those models, the one-particle distribution function obeys the inelastic Boltzmann equation,…

Soft Condensed Matter · Physics 2014-05-07 Nagi Khalil , Vicente Garzó , Andrés Santos

The difference of temperatures between an impurity and the surrounding gas in an open vibrated granular system is studied. It is shown that, in spite of the high inhomogeneity of the state, the temperature ratio remains constant in the bulk…

Statistical Mechanics · Physics 2009-11-11 J. Javier Brey , M. J. Ruiz-Montero , F. Moreno

We derive hydrodynamics of a prototypical one dimensional model, having variable-range hopping, which mimics passive diffusion and ballistic motion of active, or self-propelled, particles. The model has two main ingredients - the hardcore…

Statistical Mechanics · Physics 2020-05-27 Tanmoy Chakraborty , Subhadip Chakraborti , Arghya Das , Punyabrata Pradhan

We measure the liquid content, the bubble speeds, and the distribution of bubble sizes, in a vertical column of aqueous foam maintained in steady-state by continuous bubbling of gas into a surfactant solution. Nearly round bubbles…

Soft Condensed Matter · Physics 2007-05-23 K. Feitosa , Olivia L. Halt , Randall D. Kamien , D. J. Durian

We study a class of one-dimensional interacting particle systems with random boundaries as a microscopic model for Stefan's melting and freezing problem. We prove that under diffusive rescaling these particle systems exhibit a hydrodynamic…

Probability · Mathematics 2007-05-23 Claudio Landim , Glauco Valle

A three-dimensional mathematical model of a viscous incompressible fluid with two stiff particles is investigated in the near-contact regime. When one of the particles approaches the other motionless particle with prescribed translational…

Analysis of PDEs · Mathematics 2022-06-23 Zhiwen Zhao

Segregation patterns of size-bidisperse particle mixtures in a fully-three-dimensional flow produced by alternately rotating a spherical tumbler about two perpendicular axes are studied over a range of particle sizes and volume ratios using…

Soft Condensed Matter · Physics 2019-07-03 Mengqi Yu , Paul B. Umbanhowar , Julio M. Ottino , Richard M. Lueptow

We reveal that the mechanical pulsation of locally synchronised particles is a generic route to propagate deformation waves. We consider a model of dense repulsive particles whose activity drives periodic change in size of each individual.…

Soft Condensed Matter · Physics 2023-12-12 Yiwei Zhang , Étienne Fodor

Up to date, inertial migration of particles in microflows has demonstrated a great potential for a wide range of applications. In particular, this phenomenon is used to achieve particle separation or sorting in a suspension. Recent works…

Soft Condensed Matter · Physics 2019-07-29 Tohme Tohme , Yanfeng Gao , Pascale Magaud , Lucien Baldas , Christine Lafforgue , Stéphane Colin