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Heat Conduction Theory Including Phonon Coherence.

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This study introduces a new heat conduction model that includes the wave nature of thermal phonons, going beyond the traditional phonon gas model. It reveals two types of phonon coherence, improving thermal property estimations in solids.

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Area of Science:

  • Solid-state physics
  • Condensed matter physics
  • Thermodynamics

Background:

  • Quantifying thermal excitation coherence is a fundamental challenge in physics.
  • The conventional phonon gas model inadequately describes coherence and its effect on thermal transport.

Purpose of the Study:

  • To develop a general heat conduction formalism incorporating phonon coherence.
  • To derive a new thermal conductivity expression accounting for wave-like phonon behavior.

Main Methods:

  • Theoretical arguments and direct atomic simulations were employed.
  • A formalism was developed introducing wave packets into heat flux calculations.

Main Results:

  • An original thermal conductivity expression was derived, including coherence and lifetimes.
  • Two distinct types of coherence (intrinsic and mutual) were identified at different temperatures.

Conclusions:

  • The proposed formalism provides a fundamental framework for understanding phonon coherence.
  • This work impacts the accurate estimation of thermal properties in solid materials.