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A Particle Tracking Velocimetry experiment has been performed in a turbulent flow at intermediate Reynolds number. We present experimentally obtained stretching rates for particle pairs in the inertial range. When compensated by a…

Fluid Dynamics · Physics 2007-05-23 J. Berg , B. Luthi , S. Ott , J. Mann

We consider the continuous time random walk model (CTRW) of tracer's motion in porous medium flows based on the experimentally determined distributions of pore velocity and pore size reported in Holzner et al. Phys. Rev. E 92, 013015…

Statistical Mechanics · Physics 2017-05-31 Itzhak Fouxon , Markus Holzner

A straightforward analytical scheme is proposed for computing the long-time, asymptotic mean velocity and dispersivity (effective diffusivity) of a particle undergoing a discrete biased random walk on a periodic lattice amongst an array of…

Soft Condensed Matter · Physics 2009-11-10 Kevin D. Dorfman

Single-file systems, in which particles diffuse in narrow channels while not overtaking each other, is a fundamental model for the tracer subdiffusion observed in confined geometries, such as in zeolites or carbon nanotubes. Twenty years…

Statistical Mechanics · Physics 2024-05-27 Aurélien Grabsch , Olivier Bénichou

We investigate the motion of groups of intruders in a two-dimensional granular system by using discrete numerical simulations. By imposing either a constant velocity or a thrusting force on larger disks (intruders) that move within smaller…

Soft Condensed Matter · Physics 2022-12-05 Douglas Daniel de Carvalho , Erick de Moraes Franklin

We develop a practical method of computing the stationary drift velocity V and the diffusion coefficient D of a particle (or a few particles) in a periodic system with arbitrary transition rates. We solve this problem both in a physically…

Statistical Mechanics · Physics 2009-10-31 Zbigniew Koza

A novel mechanism for the transport of microscale particles in viscous fluids is demonstrated. The mechanism exploits the trapping of such particles by rotational streaming cells established in the vicinity of an oscillating cylinder,…

Fluid Dynamics · Physics 2016-01-13 Kwitae Chong , Scott D. Kelly , Stuart T. Smith , Jeff D. Eldredge

We analyze diffusion of particles on a two dimensional square lattice. Each lattice site contains an arbitrary number of particles. Interactions affect particles only in the same site, and are macroscopically represented by the excess…

Statistical Mechanics · Physics 2022-08-17 Matías A. Di Muro , Miguel Hoyuelos

Living systems at the sub-cellular, cellular, and multi-cellular level are often crowded systems that contain active particles. The active motion of these particles can also propel passive particles, which typically results in enhanced…

Soft Condensed Matter · Physics 2021-05-12 Leila Abbaspour , Stefan Klumpp

In diverse biological applications, particle tracking of passive microscopic species has become the experimental measurement of choice -- when either the materials are of limited volume, or so soft as to deform uncontrollably when…

Applications · Statistics 2019-11-18 Yun Ling , Martin Lysy , Ian Seim , Jay M. Newby , David B. Hill , Jeremy Cribb , M. Gregory Forest

Diffusivity is a key quantity in describing velocity fluctuations in granular materials. These fluctuations are the basis of many thermodynamic and hydrodynamic models which aim to provide a statistical description of granular systems. We…

Soft Condensed Matter · Physics 2009-11-10 Brian Utter , R. P. Behringer

We consider an active Brownian particle moving in a disordered two-dimensional energy or motility landscape. The averaged mean-square-displacement (MSD) of the particle is calculated analytically within a systematic short-time expansion. As…

Soft Condensed Matter · Physics 2021-05-03 Davide Breoni , Michael Schmiedeberg , Hartmut Löwen

We investigate the statistics of orientation of small, neutrally buoyant, spherical tracers whose center of mass is displaced from the geometrical center. If appropriate-sized particles are considered, a linear relation can be derived…

Fluid Dynamics · Physics 2013-05-14 Guido Boffetta , Massimo Cencini , Filippo De Lillo , Francesco Santamaria

The induced diffusion of tracers in a bacterial suspension is studied theoretically and experimentally at low bacterial concentrations. Considering the swimmer-tracer hydrodynamic interactions at low-Reynolds number and using a kinetic…

Soft Condensed Matter · Physics 2015-06-11 G. L. Miño , J. Dunstan , A. Rousselet , E. Clement , R. Soto

Space dependent diffusion of micrometer sized particles has been directly observed using digital video microscopy. The particles were trapped between two nearly parallel walls making their confinement position dependent. Consequently, not…

Statistical Mechanics · Physics 2009-10-31 P. Lancon , G. Batrouni , L. Lobry , N. Ostrowsky

Aims. The random walk of energetic charged particles in turbulent magnetic fields is investigated. Special focus is placed on transport across the mean magnetic field, which had been found to be subdiffusive on many occasions. Therefore, a…

High Energy Astrophysical Phenomena · Physics 2016-06-29 R. C. Tautz

We have used an NMR technique to measure the short-time, three-dimensional displacement of grains in a system of mustard seeds vibrated vertically at 15g. The technique averages over a time interval in which the grains move ballistically,…

Soft Condensed Matter · Physics 2016-08-31 Xiaoyu Yang , Chao Huan , D. Candela , R. W. Mair , R. L. Walsworth

We examine the geometry of the spaces between particles in diffusion-limited cluster aggregation, a numerical model of aggregating suspensions. Computing the distribution of distances from each point to the nearest particle, we show that it…

Statistical Mechanics · Physics 2009-11-07 R. M. L. Evans , M. D. Haw

Granular gases are commonly characterized through their velocity distribution, which provides access to the granular temperature. In experiments, velocity distributions are typically obtained by particle tracking, which however becomes…

We derive the long-time dynamics of a tracer immersed in a one-dimensional active bath. In contrast to previous studies, we find that the damping and noise correlations possess long-time tails with exponents that depend on the tracer…

Soft Condensed Matter · Physics 2022-07-26 Omer Granek , Yariv Kafri , Julien Tailleur