scholarly journals Robustness of density of low-frequency states in amorphous solids

2020 ◽  
Vol 102 (1) ◽  
Author(s):  
Prasenjit Das ◽  
H. George E. Hentschel ◽  
Edan Lerner ◽  
Itamar Procaccia
Keyword(s):  
Low Frequency ◽  
Amorphous Solids

scholarly journals Continuum limit of the vibrational properties of amorphous solids

2017 ◽  
Vol 114 (46) ◽  
pp. E9767-E9774 ◽  
Author(s):  
Hideyuki Mizuno ◽  
Hayato Shiba ◽  
Atsushi Ikeda
Keyword(s):  
Large Scale ◽  
Continuum Limit ◽  
Scaling Law ◽  
Mean Field ◽  
Low Frequency ◽  
Amorphous Solids ◽  
Mode Analysis ◽  
Vibrational Modes ◽  
Phonon Modes ◽  
The Continuum

The low-frequency vibrational and low-temperature thermal properties of amorphous solids are markedly different from those of crystalline solids. This situation is counterintuitive because all solid materials are expected to behave as a homogeneous elastic body in the continuum limit, in which vibrational modes are phonons that follow the Debye law. A number of phenomenological explanations for this situation have been proposed, which assume elastic heterogeneities, soft localized vibrations, and so on. Microscopic mean-field theories have recently been developed to predict the universal non-Debye scaling law. Considering these theoretical arguments, it is absolutely necessary to directly observe the nature of the low-frequency vibrations of amorphous solids and determine the laws that such vibrations obey. Herein, we perform an extremely large-scale vibrational mode analysis of a model amorphous solid. We find that the scaling law predicted by the mean-field theory is violated at low frequency, and in the continuum limit, the vibrational modes converge to a mixture of phonon modes that follow the Debye law and soft localized modes that follow another universal non-Debye scaling law.

The origin of the anomalous low-frequency vibrational behaviour of amorphous solids

1992 ◽  
Vol 02 ◽  
pp. C2-279-C2-283
Author(s):  
S. R. ELLIOTT
Keyword(s):  
Low Frequency ◽  
Peak Frequency ◽  
Amorphous Solids ◽  
Boson Peak ◽  
Low Frequencies ◽  
Crystalline Materials ◽  
Medium Range ◽  
Phonon Localization ◽  
Strong Scattering ◽  
Vibrational Density

The anomalous vibrational behaviour exhibited by non-crystalline materials - a peak in the vibrational density of states, and in the Raman spectrum (the boson peak) at low frequencies, and a peak in the heat capacity and a plateau in the thermal conductivity at low temperatures - is ascribed ta phonon localization associated with the strong scattering of phonons by density-fluctuation domains in the structure. Within such domains, short-range and medium-range arder is maintained, and outside them the material is structurally homogeneous and isotropie. This model can also explain the correlation between the boson-peak frequency and the position of the first sharp diffraction peak in the structure factor observed in a number of inorganie and polymerie amorphous solids.

Low-Frequency Dynamics and Its Correlation of Nanoscale Structures in Amorphous Solids

2019 ◽  
Vol 198 (3-4) ◽  
pp. 158-166
Author(s):  
Weiming Yang ◽  
Wenyu Li ◽  
Qi Jiang ◽  
Juntao Huo ◽  
Yucheng Zhao ◽  
...  
Keyword(s):  
Low Frequency ◽  
Amorphous Solids ◽  
Nanoscale Structures

scholarly journals Novel elastic instability of amorphous solids in finite spatial dimensions

Soft Matter ◽  
2021 ◽  
Author(s):  
Masanari Shimada ◽  
Hideyuki Mizuno ◽  
Atsushi Ikeda
Keyword(s):  
Vibrational Spectrum ◽  
Low Frequency ◽  
Amorphous Solids ◽  
Elastic Instability ◽  
Spatial Dimensions

We study a disordered spring network to describe the low-frequency vibrational spectrum of amorphous solids.

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