Density fluctuations in granular piles traversing the glass transition: A grain-scale characterization via the internal energy
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Published version
Author(s)
Gago, Paula
Boettcher, Stefan
Type
Journal Article
Abstract
The transition into a glassy state of a tapped granular pile is explored in detail using extensive
molecular dynamics simulations. We measure the density and density fluctuations of the ensemble
of mechanically stable configurations reached after the energy induced by the perturbation has
dissipated. We show that the peak in density fluctuations concurs with the density undergoing
the transition. We find that different horizontal sub-regions (“layers”) along the height of the pile
traverse the transition in a similar manner but at distinct tap intensities, demonstrating that at a
given intensity certain regions of the same pile may respond in a glassy manner while others remain
equilibrated. To address this phenomenon, we supplement the conventional approach based purely
on properties of the static configurations with investigations of the grain-scale dynamics, induced
by a tap, by which the energy is transmitted throughout the pile. We find that the effective energy
that particles dissipate is a function of each particle’s location in the pile and, moreover, that its
value plays a distinctive role in the transformation between configurations. This internal energy
provides a “temperature-like” parameter that allows us to align the transition into the glassy state
for all layers, as well as different annealing schedules, at a critical value.
molecular dynamics simulations. We measure the density and density fluctuations of the ensemble
of mechanically stable configurations reached after the energy induced by the perturbation has
dissipated. We show that the peak in density fluctuations concurs with the density undergoing
the transition. We find that different horizontal sub-regions (“layers”) along the height of the pile
traverse the transition in a similar manner but at distinct tap intensities, demonstrating that at a
given intensity certain regions of the same pile may respond in a glassy manner while others remain
equilibrated. To address this phenomenon, we supplement the conventional approach based purely
on properties of the static configurations with investigations of the grain-scale dynamics, induced
by a tap, by which the energy is transmitted throughout the pile. We find that the effective energy
that particles dissipate is a function of each particle’s location in the pile and, moreover, that its
value plays a distinctive role in the transformation between configurations. This internal energy
provides a “temperature-like” parameter that allows us to align the transition into the glassy state
for all layers, as well as different annealing schedules, at a critical value.
Date Issued
2022-01-14
Date Acceptance
2021-11-16
Citation
Science Advances, 2022, 8 (2), pp.1-7
ISSN
2375-2548
Publisher
American Association for the Advancement of Science
Start Page
1
End Page
7
Journal / Book Title
Science Advances
Volume
8
Issue
2
Copyright Statement
© 2022 The Authors, some rights reserved; exclusive licensee American Association for the Advancement of Science. No claim to original U.S. Government Works. Distributed under a Creative Commons Attribution NonCommercial License 4.0 (CC BY-NC).
Identifier
https://www.science.org/doi/full/10.1126/sciadv.abl6304
Subjects
Science & Technology
Multidisciplinary Sciences
Science & Technology - Other Topics
COMPACTION
LIQUIDS
MATTER
Publication Status
Published
Date Publish Online
2022-01-14