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We show how methods from Hamiltonian Floer theory can be used to establish lower bounds for the number of different time-periodic measures of time-periodic Hamiltonian systems with diffusion. After proving the existence of closed random…

Symplectic Geometry · Mathematics 2023-08-10 Oliver Fabert

Recent experiments by Baxter et al. showed the existence of density waves in granular material flowing out of a hopper. We show, using Molecular Dynamics Simulations, that this effect is a consequence of static friction and find that these…

Condensed Matter · Physics 2007-05-23 G. Ristow , H. J. Herrmann

In a recent study, (Jain et al 2007 Phys. Rev. Lett. 99 190601), a symmetric exclusion process with time-dependent hopping rates was introduced. Using simulations and a perturbation theory, it was shown that if the hopping rates at two…

Statistical Mechanics · Physics 2008-11-17 Rahul Marathe , Kavita Jain , Abhishek Dhar

We numerically examine clogging transitions for bidisperse disks flowing through a two dimensional periodic obstacle array. We show that clogging is a probabilistic event that occurs through a transition from a homogeneous flowing state to…

Soft Condensed Matter · Physics 2017-04-05 H. T. Nguyen , C. Reichhardt , C. J. Olson Reichhardt

We study analytically giant fluctuations and temporal intermittency in a stochastic one-dimensional model with diffusion and aggregation of masses in the bulk, along with influx of single particles and outflux of aggregates at the…

Statistical Mechanics · Physics 2015-06-17 Himani Sachdeva , Mustansir Barma

Dilute polymer solutions are known to exhibit purely elastic instabilities even when the fluid inertia is negligible. Here we report the quantitative evidence of two consecutive oscillatory elastic instabilities in an elongation flow of a…

Soft Condensed Matter · Physics 2021-02-22 Atul Varshney , Eldad Afik , Yoav Kaplan , Victor Steinberg

We study experimentally and computationally the dynamics of granular flow during impacts, where intruders strike a collection of disks from above. In the regime where granular force dynamics are much more rapid than the intruder motion, we…

Soft Condensed Matter · Physics 2016-05-25 Abram H. Clark , Lou Kondic , Robert P. Behringer

We study the stochastic behavior of heterogeneous diffusion processes with the power-law dependence $D(x)\sim|x|^{\alpha}$ of the generalized diffusion coefficient encompassing sub- and superdiffusive anomalous diffusion. Based on…

Statistical Mechanics · Physics 2014-12-24 Andrey G. Cherstvy , Ralf Metzler

We present experimental observations of the velocity and spatial distribution of inertial particles dispersed in the turbulent downward flow through a vertical channel at $Re_{\tau} = 235$ and $335$. The working fluid is air laden with…

Fluid Dynamics · Physics 2019-04-16 Kee Onn Fong , Omid Amili , Filippo Coletti

Intermittency in fluid turbulence can be evidentiated through the analysis of Probability Distribution Functions (PDF) of velocity fluctuations, which display a strong non-gaussian behavior at small scales. In this paper we investigate the…

Chaotic Dynamics · Physics 2007-05-23 V. Carbone , P. Giuliani , L. Sorriso-Valvo , P. Veltri , R. Bruno , E. Martines , V. Antoni

Two-dimensional granular discharge flow driven by gravity under the influence of an obstacle is experimentally investigated. A horizontal exit of width $W$ is opened at the bottom of vertical Hele-Shaw cell filled with stainless-steel…

Soft Condensed Matter · Physics 2017-08-02 K. Endo , H. Katsuragi

Many environmental, energy, and industrial processes involve the flow of polymer solutions in three-dimensional (3D) porous media where fluid is confined to navigate through complex pore space geometries. As polymers are transported through…

Fluid Dynamics · Physics 2024-12-05 Emily Y. Chen , Christopher A. Browne , Simon J. Haward , Amy Q. Shen , Sujit S. Datta

We investigate the statistics of turbulence in emulsions of two-immiscible fluids of same density. We compute for the first time velocity increments between points conditioned to be located in the same phase or in different phases and…

We study fluctuations in the drag force experienced by an object moving through a granular medium. The successive formation and collapse of jammed states give a stick-slip nature to the fluctuations which are periodic at small depths but…

Disordered Systems and Neural Networks · Physics 2009-11-07 I. Albert , P. Tegzes , R. Albert , J. G. Sample , A. -L. Barabasi , T. Vicsek , P. Schiffer

We investigate the spatial distribution of inertial particles suspended in the bulk of a turbulent inhomogeneous flow. By means of direct numerical simulations of particle trajectories transported by the turbulent Kolmogorov flow, we study…

Fluid Dynamics · Physics 2016-03-23 Filippo De Lillo , Massimo Cencini , Stefano Musacchio , Guido Boffetta

We conducted simple experiment and numerical simulation of two-dimensional granular discharge flow driven by gravity under the influence of an obstacle. According to the previous work (Zuriguel {\it et al.,\,Phys.\,Rev.\,Lett.}\,{\bf 107}:…

Soft Condensed Matter · Physics 2017-09-20 K. Endo , K. Anki Reddy , H. Katsuragi

Granular material flowing through bottlenecks like the openings of silos tend to clog and to inhibit further flow. We study this phenomenon in a three-dimensional hopper for spherical and shape-anisotropic particles by means of X-ray…

Soft Condensed Matter · Physics 2016-09-12 Tamás Börzsönyi , Ellák Somfai , Balázs Szabó , Sandra Wegner , Pascal Mier , Georg Rose , Ralf Stannarius

We study the collision rates and velocities for point-particles of different sizes in turbulent flows. We construct fits for the collision rates at specified velocities (effectively a collisional velocity probability distribution) for…

Earth and Planetary Astrophysics · Physics 2015-06-15 Alexander Hubbard

In a recent paper [Zuriguel et al., Phys. Rev. Lett. 107, 278001 (2011)] it has been shown that the presence of an obstacle above the outlet can significatively reduce the clogging probability of granular matter pouring from a silo. The…

Soft Condensed Matter · Physics 2015-06-11 Celia Lozano , Alvaro Janda , Angel Garcimartin , Diego Maza , Iker Zuriguel

Atmospheric wind speeds and their fluctuations at different locations (onshore and offshore) are examined. One of the most striking features is the marked intermittency of probability density functions (PDF) of velocity differences -- no…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 F. Böttcher , St. Barth , J. Peinke