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This study establishes a direct link between phonon modes and normal modes of vibration. It reveals energy exchange in elementary interactions is frequency-dependent, uncovering new scattering pathways.

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Computational Physics

Background:

  • The theoretical framework for phonon interactions relies on quantum scattering theory.
  • A clear correspondence between phonon modes and normal modes of vibration is lacking.
  • The nature of energy exchange in elementary normal mode interactions is largely unknown.

Purpose of the Study:

  • To establish a direct method for discriminating normal and Umklapp processes from atomistic dynamics.
  • To investigate energy exchange mechanisms in normal mode interactions.
  • To identify novel scattering channels, including those considered quantum-forbidden.

Main Methods:

  • Utilizing real asymmetric normal mode amplitudes.
  • Analyzing undulating harmonic and anharmonic potentials.
  • Directly discriminating normal and Umklapp processes from atomistic dynamics.

Main Results:

  • Successfully discriminated normal and Umklapp processes directly from atomistic dynamics.
  • Demonstrated energy-conserving forward and backward scattering events, including quantum-forbidden ones.
  • Deduced that energy exchanged between modes is proportional to frequency, a quantum-like restriction.

Conclusions:

  • The study provides a novel approach to identify unbiased scattering channels.
  • Findings reveal quantum-like restrictions on energy exchange in normal mode interactions.
  • This work facilitates the development of advanced Peierls-Boltzmann transport simulations.