Dynamics of a vibration-driven single disk

  title={Dynamics of a vibration-driven single disk},
  author={Liyang Guan and Li Tian and Meiying Hou and Yilong Han},
  journal={Scientific Reports},
Granular particles exhibit rich collective behaviors on vibration beds, but the motion of an isolated particle is not well understood even for uniform particles with a simple shape such as disks or spheres. Here we measured the motion of a single disk confined to a quasi-two-dimensional horizontal box on a vertically vibrating stage. The translational displacements obey compressed exponential distributions whose exponent β\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym… 
4 Citations

Motion of a self-propelled particle with rotational inertia.

Overdamped active Brownian motion of self-propelled particles in a liquid has been fairly well studied. However, there are a variety of situations in which the overdamped approximation is not

High-energy velocity tails in uniformly heated granular materials.

We experimentally investigate the velocity distributions of quasi-two-dimensional granular materials uniformly heated by an electromagnetic vibrator, where the translational velocity and the rotation

Collective behavior of soft self-propelled disks with rotational inertia

We investigate collective properties of a large system of soft self-propelled inertial disks with active Langevin dynamics simulation in two dimensions. Rotational inertia of the disks is found to



Vibrated polar disks: spontaneous motion, binary collisions, and collective dynamics

We study the spontaneous motion, binary collisions, and collective dynamics of “polar disks”, i.e. specially designed particles which, when vibrated between two horizontal plates, move coherently

Stochastic dynamics of a rod bouncing upon a vibrating surface.

The behavior of a rod bouncing upon a horizontal surface which is undergoing sinusoidal vertical vibration is described and it is found that, as the dimensionless acceleration parameter Gamma is increased appreciably above unity, the motion of a long rod passes from periodic or near-periodic motion into stochastic dynamics.

Statistical mechanics of a gas-fluidized particle

Surprisingly, it is found that the sphere behaves exactly like a harmonically bound brownian particle, and the random driving force and frequency-dependent drag satisfy the fluctuation–dissipation relation, a cornerstone of statistical mechanics.

Cages and anomalous diffusion in vibrated dense granular media.

A vertically shaken granular medium hosts a blade rotating around a fixed vertical axis, which acts as a mesorheological probe, which shows strong caging effects and a power-law decay, likely due to persistent collective fluctuations of the host medium.

Molecular dynamics simulations of vibrated granular gases.

  • A. BarratE. Trizac
  • Physics, Engineering
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2002
The validity of a recently proposed random restitution coefficient model is assessed through the study of projected collisions onto the direction perpendicular to that of energy injection, and the rescaled velocity distribution functions are found to be very similar for both species.

Resolving a paradox of anomalous scalings in the diffusion of granular materials

The theoretical arguments are verified through numerical simulations of the governing partial differential equations, showing that concentration-dependent diffusivity leads to two intermediate asymptotic regimes: one with an anomalous scaling that matches the experimental observations for naturally polydisperse granular materials, and another with a “normal” diffusive scaling at even longer times.

Non-Gaussian Velocity Distribution Function in a Vibrating Granular Bed

The simulation of granular particles in a quasi-two-dimensional container under vertical vibration as an experimental accessible model for granular gases is performed. The velocity distribution

Single-particle diffraction and interference at a macroscopic scale.

A droplet bouncing on a vertically vibrated bath can become coupled to the surface wave it generates and become a "walker" moving at constant velocity on the interface, and diffraction or interference patterns are recovered in the histogram of the deviations of many successive walkers.

Energy flows in vibrated granular media

We study vibrated granular media, investigating each of the three components of the energy flow: particle-particle dissipation, energy input at the vibrating wall, and particle-wall dissipation.