TY - JOUR
T1 - Geometry-controlled phase transition in vibrated granular media
AU - Zuñiga, René
AU - Varas, Germán
AU - Job, Stéphane
N1 - Funding Information:
The authors thank Francisco Melo and Jean-Christophe Géminard for many fruitful discussions during the preparation of this work, Jean-Yves Choley for the support during R.Z.’s PhD thesis, and the CNRS’s Laboratoire International Associé ‘Matiére, Structure et Dynamique’ (LIA-MSD) in support of the Chile/France collaboration. R.Z. acknowledges ANID National Doctoral Program grant No. 21161404, the CY Cergy Paris Universités Doctoral School 417 Sciences et Ingénierie, and the support of ISAE-Supméca during his stay in France.
Funding Information:
The authors thank Francisco Melo and Jean-Christophe Géminard for many fruitful discussions during the preparation of this work, Jean-Yves Choley for the support during R.Z.’s PhD thesis, and the CNRS’s Laboratoire International Associé ‘Matiére, Structure et Dynamique’ (LIA-MSD) in support of the Chile/France collaboration. R.Z. acknowledges ANID National Doctoral Program grant No. 21161404, the CY Cergy Paris Universités Doctoral School 417 Sciences et Ingénierie, and the support of ISAE-Supméca during his stay in France.
Publisher Copyright:
© 2022, The Author(s).
PY - 2022/12
Y1 - 2022/12
N2 - We report experiments on the dynamics of vibrated particles constrained in a two-dimensional vertical container, motivated by the following question: how to get the most out of a given external vibration to maximize internal disorder (e.g. to blend particles) and agitation (e.g. to absorb vibrations)? Granular media are analogs to classical thermodynamic systems, where the injection of energy can be achieved by shaking them: fluidization arises by tuning either the amplitude or the frequency of the oscillations. Alternatively, we explore what happens when another feature, the container geometry, is modified while keeping constant the energy injection. Our method consists in modifying the container base into a V-shape to break the symmetries of the inner particulate arrangement. The lattice contains a compact hexagonal solid-like crystalline phase coexisting with a loose amorphous fluid-like phase, at any thermal agitation. We show that both the solid-to-fluid volume fraction and the granular temperature depend not only on the external vibration but also on the number of topological defects triggered by the asymmetry of the container. The former relies on the statistics of the energy fluctuations and the latter is consistent with a two-dimensional melting transition described by the KTHNY theory.
AB - We report experiments on the dynamics of vibrated particles constrained in a two-dimensional vertical container, motivated by the following question: how to get the most out of a given external vibration to maximize internal disorder (e.g. to blend particles) and agitation (e.g. to absorb vibrations)? Granular media are analogs to classical thermodynamic systems, where the injection of energy can be achieved by shaking them: fluidization arises by tuning either the amplitude or the frequency of the oscillations. Alternatively, we explore what happens when another feature, the container geometry, is modified while keeping constant the energy injection. Our method consists in modifying the container base into a V-shape to break the symmetries of the inner particulate arrangement. The lattice contains a compact hexagonal solid-like crystalline phase coexisting with a loose amorphous fluid-like phase, at any thermal agitation. We show that both the solid-to-fluid volume fraction and the granular temperature depend not only on the external vibration but also on the number of topological defects triggered by the asymmetry of the container. The former relies on the statistics of the energy fluctuations and the latter is consistent with a two-dimensional melting transition described by the KTHNY theory.
UR - http://www.scopus.com/inward/record.url?scp=85137160558&partnerID=8YFLogxK
U2 - 10.1038/s41598-022-18965-4
DO - 10.1038/s41598-022-18965-4
M3 - Article
C2 - 36056168
AN - SCOPUS:85137160558
VL - 12
JO - Scientific Reports
JF - Scientific Reports
SN - 2045-2322
IS - 1
M1 - 14989
ER -