Anomalous diffusion in a monolayer of lightweight spheres fluidized in air flow

Koyama, Shihori; Matsuno, Tomoki; Noguchi, Takashi

doi:10.1103/physreve.104.054901

Cited by 2 publications

(4 citation statements)

References 40 publications

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“…As a guide to the eye, the ballistic (

) and normal diffusion (

) values were indicated inside each panel in Figure 4 and Figure 5 . However, we have found that the slope in the diffusive part of the MSD curves is not constant in some cases, and it may be said that the diffusion is anomalous in these cases, which is in agreement with the experimental observations in a previous analysis [ 59 ]. Therefore, the computed diffusive exponents

for these cases and the corresponding slope (and thus, diffusion coefficient) from Equation ( 2 ) represent an averaged value.…”

Section: Resultssupporting

confidence: 92%

“…This ping-pong ball on air table configuration is inspired by a previous work by Ojha et al, where the solution to the equation of movement of a Brownian particle (consisting of a ping-pong ball in an air table) was found and compared to their experimental results [ 12 ]. Fan power is carefully adjusted so that the particles never lose physical contact with the plate and so they keep rolling over the grid, much in the same way of the aforementioned and other previous works [ 12 , 54 , 56 , 57 , 59 ].…”

Section: Description Of the Experimentsmentioning

confidence: 99%

“…An analysis is performed of the eventual departures from the KTHNY scenario when long-ranged hydrodynamic interactions would be relevant for a more complete understanding of the phase behavior in two-dimensional systems. Although this experimental configuration had been studied in a number of previous works [ 54 , 56 , 57 , 58 , 59 ], the focus was put on other phenomenology, and no detailed analyses were carried out on the phase behavior, except for more recent work where a generic description has been provided [ 56 , 59 ].…”

Section: Introductionmentioning

confidence: 99%

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Diffusion and Velocity Correlations of the Phase Transitions in a System of Macroscopic Rolling Spheres

Reyes

Rodríguez‐Rivas

González-Saavedra

et al. 2022

Entropy

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We study an air-fluidized granular monolayer composed of plastic spheres which roll on a metallic grid. The air current is adjusted so that the spheres never lose contact with the grid and so that the dynamics may be regarded as pseudo two dimensional (or two dimensional, if the effects of the sphere rolling are not taken into account). We find two surprising continuous transitions, both of them displaying two coexisting phases. Moreover, in all the cases, we found the coexisting phases display a strong energy non-equipartition. In the first transition, at a weak fluidization, a glass phase coexists with a disordered fluid-like phase. In the second transition, a hexagonal crystal coexists with the fluid phase. We analyze, for these two-phase systems, the specific diffusive properties of each phase, as well as the velocity correlations. Surprisingly, we find a glass phase at a very low packing fraction and for a wide range of granular temperatures. Both phases are also characterized by strong anticorrelated velocities upon a collision. Thus, the dynamics observed for this quasi two-dimensional system unveil phase transitions with peculiar properties, very different from the predicted behavior in well-know theories for their equilibrium counterparts.

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“…As a guide to the eye, the ballistic (

) and normal diffusion (

for these cases and the corresponding slope (and thus, diffusion coefficient) from Equation ( 2 ) represent an averaged value.…”

Section: Resultssupporting

confidence: 92%

Section: Description Of the Experimentsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Diffusion and Velocity Correlations of the Phase Transitions in a System of Macroscopic Rolling Spheres

Reyes

Rodríguez‐Rivas

González-Saavedra

et al. 2022

Entropy

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show abstract

“…Furthermore, it has been reported recently that in a configuration of ping-pong balls rolling over a flat surface the KTHNY is, apparently, absent [26][27][28][29]; i.e., no hexatic phase could be detected. Instead, two consecutive phase transitions were detected, both with two coexisting phases.…”

Section: Introductionmentioning

confidence: 96%

Diffusion and Velocity Correlations of the Phase Transitions in a System of Macroscopic Rolling Spheres

Reyes¹,

Rodríguez‐Rivas²,

González-Saavedra³

et al. 2022

Preprint

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We study an air-fluidized granular monolayer, composed in this case of plastic spheres, which roll on a metallic grid. The air current is adjusted so that the spheres never loose contact with the grid, so that the dynamics may be regarded as pseudo two-dimensional (or two-dimensional, if the effects of sphere rolling are not taken into account). We find two surprising continuous transitions, both of them displaying two coexisting phases. Moreover, in all cases, we found the coexisting phases display strong energy non-equipartition. In the first transition, at weak fludization, a glassy phase coexists with a disordered fluid-like phase. In the second transition, a hexagonal crystal coexists with the fluid phase. We analyze, for these two-phase systems, the specific diffusive properties of each phase, as well as the velocity correlations. Surprisingly, we find a glass phase at very low packing fraction and for a wide range of granular temperatures. Both phases are characterized also by a strong anti-correlated velocities upon collision. Thus, the dynamics observed for this quasi two-dimensional system unveils phase transitions with peculiar properties, very different from the predicted behavior in well know theories for their equilibrium counterparts.

show abstract

Anomalous diffusion in a monolayer of lightweight spheres fluidized in air flow

Cited by 2 publications

References 40 publications

Diffusion and Velocity Correlations of the Phase Transitions in a System of Macroscopic Rolling Spheres

Diffusion and Velocity Correlations of the Phase Transitions in a System of Macroscopic Rolling Spheres

Diffusion and Velocity Correlations of the Phase Transitions in a System of Macroscopic Rolling Spheres

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