%0 Journal Article
%T Low-frequency vibrations of jammed packings in large spatial dimensions
%+ Laboratoire Charles Coulomb (L2C)
%A Shimada, Masanari
%A Mizuno, Hideyuki
%A Berthier, Ludovic
%A Ikeda, Atsushi
%< avec comité de lecture
%Z L2C:20-060
%@ 1539-3755
%J Physical Review E : Statistical, Nonlinear, and Soft Matter Physics
%I American Physical Society
%P 052906
%8 2020-06-25
%D 2020
%Z 1910.07238
%R 10.1103/PhysRevE.101.052906
%Z Physics [physics]/Condensed Matter [cond-mat]/Soft Condensed Matter [cond-mat.soft]
%Z Physics [physics]/Condensed Matter [cond-mat]/Disordered Systems and Neural Networks [cond-mat.dis-nn]Journal articles
%X Amorphous packings prepared in the vicinity of the jamming transition play a central role in theoretical studies of the vibrational spectrum of glasses. Two mean-field theories predict that the vibrational density of states $g(\omega)$ obeys a characteristic power law, $g(\omega)\sim\omega^2$, called the non-Debye scaling in the low-frequency region. Numerical studies have however reported that this scaling breaks down at low frequencies, due to finite dimensional effects. In this study, we prepare amorphous packings of up to $128000$ particles in spatial dimensions from $d=3$ to $d=9$ to characterise the range of validity of the non-Debye scaling. Our numerical results suggest that the non-Debye scaling is obeyed down to a frequency that gradually decreases as $d$ increases, and possibly vanishes for large $d$, in agreement with mean-field predictions. We also show that the prestress is an efficient control parameter to quantitatively compare packings across different spatial dimensions.
%G English
%2 https://hal.science/hal-02880594/document
%2 https://hal.science/hal-02880594/file/PhysRe5.pdf
%L hal-02880594
%U https://hal.science/hal-02880594
%~ CNRS
%~ L2C
%~ MIPS
%~ UNIV-MONTPELLIER
%~ UM-2015-2021