期刊
PHYSICAL REVIEW E
卷 101, 期 5, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.101.052906
关键词
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资金
- JSPS KAKENHI [19J20036, 17K14369, 17H04853, 16H04034, 18H05225, 19K14670, 19H01812]
- Asahi Glass Foundation
- Simons Foundation [454933]
- Grants-in-Aid for Scientific Research [19J20036, 16H04034, 17H04853, 17K14369] Funding Source: KAKEN
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) similar to 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 128 000 particles in spatial dimensions from d = 3 to d = 9 to characterize 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.
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