Experimental study of transport of a dimer on a vertically oscillating plate

Wang, Jiao; Liu, Caishan; Ma, Dongli

doi:10.1098/rspa.2014.0439

Cited by 11 publications

(5 citation statements)

References 30 publications

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“…For a single particle driven on a vertically vibrating stage, the motion in the xy plane is dominated by friction and collisions and thus difficult to model and predict in theory or simulation. Hence it is mainly studied experimentally including the motions of a dimer 24 , 25 , trimer 26 , uniform rod 27 , 28 , asymmetric rod 29 – 31 and polar disk with a non-uniform mass density 32 . When their shape or mass distribution is asymmetric, the translational motion can become self-propulsive 26 , 30 – 32 .…”

Section: Introductionmentioning

confidence: 99%

Dynamics of a vibration-driven single disk

Guan

Tian

Hou

et al. 2021

Sci Rep

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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 $$\beta$$ β increases with the frequency, while the rotational displacements exhibit unimodal distributions at low frequencies and bimodal distributions at high frequencies. During short time intervals, the translational displacements are subdiffusive and negatively correlated, while the rotational displacements are superdiffusive and positively correlated. After prolonged periods, the rotational displacements become diffusive and their correlations decay to zero. Both the rotational and the translational displacements exhibit white noise at low frequencies, and blue noise for translational motions and Brownian noise for rotational motions at high frequencies. The translational kinetic energy obeys Boltzmann distribution while the rotational kinetic energy deviates from it. Most energy is distributed in translational motions at low frequencies and in rotational motions at high frequencies, which violates the equipartition theorem. Translational and rotational motions are not correlated. These experimental results show that the random diffusion of such driven particles is distinct from thermal motion in both the translational and rotational degrees of freedom, which poses new challenges to theory. The results cast new light on the motion of individual particles and the collective motion of driven granular particles.

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Section: Introductionmentioning

confidence: 99%

Dynamics of a vibration-driven single disk

Guan

Tian

Hou

et al. 2021

Sci Rep

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“…Single granular particle, such as the Euler's disk [16] or a rolling ring [17] on a fixed table, or a bouncing droplet on its self-activated surface wave [18,19], exhibit interesting motions. For a single particle driven on a vertically vibrating stage, dimer [20,21], trimer [22], rod [13,[23][24][25][26], and polar disk [27] have been experimentally measured. These particles are asymmetric in mass distribution or shape, and some of them exhibit self-propulsive translational motions on vibration stage [22,[25][26][27].…”

Section: Introductionmentioning

confidence: 99%

Two modes of motions for a single disk on the vibration stage

Guan,

Tian,

Hou

et al. 2023

J. Phys.: Condens. Matter

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The motion of a single granular particle is important for understanding their collective motions on vibration stage, but it remains poorly studied for simple shaped particles, such as a disk. Here, we systematically measure the motions of a single disk with different vibration amplitudes A at a fixed vibration frequency f or a fixed acceleration a. The distributions, time-correlations, and power spectra of displacements per step, mean squared displacements and couplings for translational and rotational motions are measured. These analyses reveal that the motions randomly switch between active and inactive modes. Both a and f are important to particle’s motions and the fraction of active mode. The translational and rotational kinetic energy deviates from Boltzmann distribution and violates the equipartition theorem in each mode. We find three types of motion: rolling, lying flat, and fluttering, which give rise to active and inactive modes. The translational and rotational mean squared displacements, autocorrelations, and power spectra at different a collapse in active modes, because the disk rolls along its rim with a fixed inclination angle though our system is under vibration and confinement. The nonzero cross-correlations between particle’s translational and rotational motions indicate that only translational motions are insufficient for understanding dense particle systems.

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“…In addition, one has to take into account that jumps are in general no longer vertical but motion in the plane can also couple to the vertical degree of freedom. [39][40][41][42] Such more complex particle shapes have been studied in experiments and simulations, e.g., flat disks [43] and polygons, [44] dumbbell-shaped dimer particles, [41,42,[45][46][47] trimers, [48,49] and others. [50,51] An extremely non-spherical shape is that of a thin rod, [52,53] for which the distribution of averaged kinetic energies over five degrees of freedom (excluding the sixth, rotations about the long rod axis) was investigated in experiments earlier.…”

Section: Introductionmentioning

confidence: 99%

Jumping Platonic Solids on a Vibrating Plate

Dieckmann,

Puzyrev,

Trittel

et al. 2023

Annalen der Physik

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The mechanical excitation of solid bodies by a vibrating plate is not only an interesting fundamental problem, but also has relevance in many mechanical systems, for example, in the preparation of granular gases in microgravity. Herein, the energy input by an oscillating plate is numerically investigated as a function of the excitation parameters for selected Platonic solids and their behavior compared to that of a jumping sphere. The most important additional features, not relevant for spheres, are the excitation of body rotations and a permanent energy exchange between the rotational and translational degrees of freedom during the collisions with the plate. The distribution of kinetic energies is analyzed by a numerical simulation of the dynamics, using structures which emulate the mechanical behavior of regular polyhedra.

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Experimental study of transport of a dimer on a vertically oscillating plate

Cited by 11 publications

References 30 publications

Dynamics of a vibration-driven single disk

Dynamics of a vibration-driven single disk

Two modes of motions for a single disk on the vibration stage

Jumping Platonic Solids on a Vibrating Plate

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