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This study reveals how macroscopic stress impacts amorphous solids. Shear stabilization shifts vibrational properties, and near plastic events, eigenvalue distributions show universal scaling laws.

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Statistical Mechanics

Background:

  • Amorphous solids lack long-range order, exhibiting unique mechanical and vibrational properties.
  • Understanding the vibrational density of states (VDOS) is key to characterizing amorphous materials.
  • Previous studies often focused on unstrained or idealized amorphous systems.

Purpose of the Study:

  • To investigate the influence of macroscopic stress on the VDOS of amorphous solids.
  • To analyze the behavior of vibrational spectra near critical points like plastic events.
  • To identify universal scaling laws in the mechanical response of amorphous materials.

Main Methods:

  • Simulations of energy-minimized amorphous solids under shear stress.
  • Analysis of the vibrational density of states (VDOS) and its low-frequency regime.
  • Examination of eigenvalue distributions of the Hessian matrix near plastic deformation.
  • Dimensional analysis and scaling behavior with system size (N).

Main Results:

  • Macroscopic stress significantly alters the low-frequency VDOS of amorphous solids.
  • Shear-stabilized configurations exhibit a D(ω) ~ ω^5_min regime, differing from the ω^4_min of unstrained systems.
  • Near plastic events, minimum eigenvalue distributions show universal scaling, with a robust D(ω) ~ ω^6_min power-law at low frequencies.

Conclusions:

  • The low-frequency VDOS of amorphous solids is highly sensitive to applied stress.
  • Universal scaling laws govern the behavior of amorphous solids approaching plastic failure.
  • Hessian matrix eigenvalues provide insights into the mechanical stability and critical behavior of these materials.