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Pushing the boundaries of the thermal conductivity of materials

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Thermal <strong>conductivity</strong> and interface <strong>the</strong>rmal conductance<br />

• Both properties are difficult to understand and<br />

control because <strong>the</strong>y are integral properties.<br />

• For example, simplest case <strong>of</strong> <strong>the</strong>rmal<br />

<strong>conductivity</strong> where resistive scattering<br />

dominates<br />

Λ = 1/3∫ C(ω) v(ω) l(ω) dω<br />

C(ω) = heat capacity <strong>of</strong> phonon mode<br />

v(ω) = group velocity<br />

l(ω) = mean-free-path

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