Slow relaxation dynamics of clogs in a vibrated granular silo

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2018
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Guerrero, Bruno V.
Pugnaloni, Luis Ariel
Zuriguel, Iker
Garcimartín, Angel
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We experimentally explore the vibration-induced unclogging of arches halting the flow in a two-dimensional silo. The endurance of arches is determined by carrying out a survival analysis of their breaking times. By analyzing the dynamics of two morphological variables, we demonstrate that arches evolve toward less regular structures and it seems that there may exist a certain degree of irregularity that the arch reaches before collapsing. Moreover, we put forward that σ (the standard deviation of all angles between consecutive beads) describes faithfully the morphological evolution of the arch. Focusing on long-lasting arches, we study σ calculating its two-time autocorrelation function and its mean-squared displacement. In particular, the apparent logarithmic increase of the correlation and the decrease of the mean-squared displacement of σ when the waiting time is increased reveal a slowing down of the dynamics. This behavior is a clear hallmark of aging phenomena and confirms the lack of ergodicity in the unclogging dynamics. Our findings provide new insights on how an arch tends to destabilize and how the probability that it breaks with a long sustained vibration decreases with time.

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ISO 690GUERRERO, Bruno V., Luis Ariel PUGNALONI, Celia LOZANO, Iker ZURIGUEL, Angel GARCIMARTÍN, 2018. Slow relaxation dynamics of clogs in a vibrated granular silo. In: Physical Review E. 2018, 97(4), 042904. ISSN 2470-0045. eISSN 2470-0053. Available under: doi: 10.1103/PhysRevE.97.042904
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@article{Guerrero2018-04-24relax-42301,
  year={2018},
  doi={10.1103/PhysRevE.97.042904},
  title={Slow relaxation dynamics of clogs in a vibrated granular silo},
  number={4},
  volume={97},
  issn={2470-0045},
  journal={Physical Review E},
  author={Guerrero, Bruno V. and Pugnaloni, Luis Ariel and Lozano, Celia and Zuriguel, Iker and Garcimartín, Angel},
  note={Article Number: 042904}
}
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