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Update theory.rst
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Safoura-NS authored Aug 29, 2024
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Phonon Boltzmann Transport Equation
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
-----------------------------------
The lattice thermal conductivity is calculated by using the phonon Boltzmann transport equation (BTE). In steady state, the linear phonon Boltzmann transport
equations:

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where :math:`\mathbf{v}_{k}` is the phonon velocity, and a phonon state :math:`k=(\lambda,\mathbf{k})` comprises both a phonon mode index :math:`\lambda` and a wave vector :math:`\mathbf{k}`.



BTE Solvers
^^^^^^^^^^^
Iterative
^^^^^^^^^
Direct
^^^^^^

.. [Ref] G. Leibfried and W. Ludwig, in Solid State Physics, edited by F. Seitz and D. Turnbull (Academic, New York, 1961), Vol. 12.
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