# Dynamics of a vibration-driven single disk

@article{Guan2021DynamicsOA, title={Dynamics of a vibration-driven single disk}, author={Liyang Guan and Li Tian and Meiying Hou and Yilong Han}, journal={Scientific Reports}, year={2021}, volume={11} }

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

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## References

SHOWING 1-10 OF 61 REFERENCES

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

- Physics
- 2012

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.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2006

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

- PhysicsNature
- 2004

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.

- PhysicsPhysical review letters
- 2015

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.

- Physics, EngineeringPhysical 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

- PhysicsProceedings of the National Academy of Sciences
- 2012

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

- Physics, Engineering
- 2004

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.

- PhysicsPhysical review letters
- 2006

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

- Physics, Geology
- 1998

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.…