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Dynamical structure factor in disordered systems

Martin-Mayor1, Parisi, Verrocchio

  • 1Dipartimento di Fisica, Universita di Roma "La Sapienza," INFN Sezione di Roma - INFM Unita di Roma, Piazzale Aldo Moro 2, 00185 Roma, Italy.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|November 23, 2000
PubMed
Summary

Disordered solids exhibit distinct spectral width behaviors based on energy density. A zero density of states follows the p(4) law, while a non-zero density shows linear behavior for spectral width.

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Area of Science:

  • Condensed matter physics
  • Materials science
  • Statistical mechanics

Background:

  • Supercooled liquids and glasses exhibit complex dynamics.
  • Disordered harmonic solids serve as simplified models for these systems.
  • Understanding spectral properties is key to characterizing material behavior.

Purpose of the Study:

  • Investigate the spectral width dependence on external momentum.
  • Analyze the dynamical structure factor in disordered solids.
  • Differentiate behaviors based on the density of states at zero energy.

Main Methods:

  • Employed the single-link coherent potential approximation.
  • Utilized a single-defect approximation.
  • Performed numerical calculations on large lattices (up to 96^3).

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Main Results:

  • Identified two distinct regimes for spectral width behavior.
  • Observed the standard p(4) law at low momentum when the density of states at zero energy is zero.
  • Found a linear behavior when disorder induces a non-zero density of states at zero energy.

Conclusions:

  • The density of states at zero energy critically influences the spectral width.
  • Analytical and numerical results for disordered harmonic solids show good agreement.
  • This model provides insights into the dynamics of supercooled liquids and glasses.