Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Coupling between Phonon-Phonon and Phonon-Impurity Scattering: A
  Critical Revisit of the Spectral Matthiessen's Rule   The spectral Matthiessen's rule is commonly used to calculate the total
phonon scattering rate when multiple scattering mechanisms exist. Here we
predict the spectral phonon relaxation time $\tau$ of defective bulk silicon
using normal mode analysis based on molecular dynamics, and show that the
spectral Matthiessen's rule is not accurate due to the neglect of the coupling
between anharmonic phonon-phonon scattering $\tau_a^{-1}$ and phonon-impurity
scattering $\tau_i^{-1}$. As a result, the spectral Matthiessen's rule
underestimates the total phonon scattering rate, and hence overestimates the
thermal conductivity $\kappa$ of mass-doped and Ge-doped silicon by about
20-40%. We have also directly estimated this coupling scattering rate, so
called coupled five-phonon scattering $\tau_{\rm couple}^{-1}$, and achieved
good agreement between $\tau_a^{-1}+\tau_i^{-1}+\tau_{\rm couple}^{-1}$ and the
total scattering rate $\tau_{tot}^{-1}$.

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The categories of this paper are: math
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The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: solv-int
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The categories of this paper are: econ
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The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: physics
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The categories of this paper are: nucl-th