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We investigate the slow passage through a pitchfork bifurcation in a spatially extended system, when the onset of instability is slowly varying in space. We focus here on the critical parameter scaling, when the instability locus propagates…

Dynamical Systems · Mathematics 2024-01-12 Ryan Goh , Tasso J. Kaper , Arnd Scheel

Orientation and microstructure are investigated in sheared Brownian suspensions of hard dicolloidal particles, with the dicolloids modeled as two fused spheres of varying radii and center to center separations. Two different particle shapes…

Soft Condensed Matter · Physics 2012-07-24 Amit Kumar , Jonathan J. L. Higdon

We prove lower large deviations for geometric functionals in sparse, critical and dense regimes. Our results are tailored for functionals with nonexisting exponential moments, for which standard large deviation theory is not applicable. The…

Probability · Mathematics 2025-01-08 Christian Hirsch , Daniel Willhalm

In a seminal article, \citet[J. Fluid Mech., 174:441-465]{maxey87} presented a theoretical analysis showing that enhanced particle settling speeds in turbulence occur through the preferential sweeping mechanism, which depends on the…

Fluid Dynamics · Physics 2019-05-22 Josin Tom , Andrew D Bragg

We study the following interacting particle system. There are $\rho n$ particles, $\rho < 1$, moving clockwise ("right"), in discrete time, on $n$ sites arranged in a circle. Each site may contain at most one particle. At each time, a…

Probability · Mathematics 2019-08-16 Seva Shneer , Alexander Stolyar

We introduce a new finite element (FE) discretization framework applicable for covariant split equations. The introduction of additional differential forms (DF) that form pairs with the original ones permits the splitting of the equations…

Numerical Analysis · Mathematics 2017-06-16 Werner Bauer , Jörn Behrens

This study investigates the lift force acting on a finite-size, neutrally buoyant spherical particle suspended in a liquid while flowing through a shallow channel at low Reynolds numbers. Using an immersed boundary method, we calculate the…

Fluid Dynamics · Physics 2026-04-29 Guiquan Wang , Willem Van Roy , Chengxun Liu , Tim Stakenborg , Benjamin Jones

We examine the dynamics of small anisotropic particles (spheroids) sedimenting through homogeneous isotropic turbulence using direct numerical simulations and theory. The gravity-induced inertial torque acting on sub-Kolmogorov spheroids…

Atmospheric and Oceanic Physics · Physics 2020-07-22 Prateek Anand , Samriddhi Sankar Ray , Ganesh Subramanian

This paper presents statistical analyses of random motions in a single layer of fluidized lightweight spherical particles. Foam polystyrene spheres were driven by an upward airflow through the sieve mesh, and their two-dimensional motion…

Soft Condensed Matter · Physics 2021-11-05 Shihori Koyama , Tomoki Matsuno , Takashi Noguchi

We investigate charge relaxation in quantum-wires of spin-less disordered fermions ($t{-}V$-model). Our observable is the time-dependent density propagator, $\Pi_{\varepsilon}(x,t)$, calculated in windows of different energy density,…

Strongly Correlated Electrons · Physics 2017-05-10 Soumya Bera , Giuseppe De Tomasi , Felix Weiner , Ferdinand Evers

We provide a mathematical analysis of the effective viscosity of suspensions of spherical particles in a Stokes flow, at low solid volume fraction $\phi$. Our objective is to go beyond the Einstein's approximation…

Analysis of PDEs · Mathematics 2020-10-28 David Gerard-Varet , Matthieu Hillairet

We study interacting particle systems on the real line which generalize the Hammersley process [D. Aldous and P. Diaconis, Prob. Theory Relat. Fields 103, 199-213 (1995)]. Particles jump to the right to a randomly chosen point between their…

Statistical Mechanics · Physics 2011-05-20 J. Krug , J. Garcia

Here, results are presented on the focusing of $1 \ \mu$m polystyrene particle suspensions using a synchronous oscillatory pressure-driven flow and oscillatory electric field in a microfluidic device. The effect of the phase difference…

Fluid Dynamics · Physics 2023-12-13 Giridar Vishwanathan , Gabriel Juarez

We study packings of bidispersed spherical particles on a spherical surface. The presence of curvature necessitates defects even for monodispersed particles; bidispersity either leads to a more disordered packing for nearly equal radii, or…

Soft Condensed Matter · Physics 2016-08-03 Andrew M. Mascioli , Christopher J. Burke , Timothy J. Atherton

Particle-stabilized emulsions are commonly used in various industrial applications. These emulsions can present in different forms, such as Pickering emulsions or bijels, which can be distinguished by their different topologies and…

Soft Condensed Matter · Physics 2015-02-10 Stefan Frijters , Florian Günther , Jens Harting

In a half-filled rotating drum, the size segregation of particles of equal density builds a ring pattern of the large particles, whose location continuously varies from the periphery to the center depending on the size ratio between…

Other Condensed Matter · Physics 2009-11-10 G. Felix , N. Thomas

We analyze experimentally the behavior of a non-Brownian, iso-dense suspension of spheres submitted to periodic square wave oscillations of the flow in a Hele-Shaw cell of gap $H$. We do observe an instability of the initially homogeneous…

Fluid Dynamics · Physics 2018-05-23 Y. L. Roht , I. Ippolito , J. P. Hulin , D. Salin , G. Gauthier

Sedimentation in active fluids has come into focus due to the ubiquity of swimming micro-organisms in natural and artificial environments. Here, we experimentally investigate sedimentation of passive particles in water containing various…

Fluid Dynamics · Physics 2017-10-12 Jaspreet Singh , Alison E. Patteson , Prashant K. Purohit , Paulo E. Arratia

The effects of a dispersed particulate phase on the onset of Rayleigh-B\'enard convection in a fluid layer is studied theoretically by means of a two-fluid Eulerian modelization. The particles are non-Brownian, spherical, with inertia and…

Fluid Dynamics · Physics 2024-12-24 Saad Raza , Silvia C. Hirata , Enrico Calzavarini

We investigate, both experimentally and theoretically, the fow and structure of a slurry when sheared between 2 horizontal plates. The slurry, otherwise called a "wet granular material", is made of non-Brownian particles immersed in a…

Other Condensed Matter · Physics 2009-11-11 M. Lenoble , P. Snabre , B. Pouligny