This thesis studies the general heat conduction law, irreversible
thermodynamics and the size effect of thermal conductivity
exhibited in nanosystems from the perspective of recently developed
thermomass theory. The derivation bridges the microscopic phonon
Boltzmann equation and macroscopic continuum mechanics. Key
concepts such as entropy production, temperature and the Onsager
reciprocal relation are revisited in the case of non-Fourier heat
conduction. Lastly, useful expressions are extracted from the
picture of phonon gas dynamics and are used to successfully predict
effective thermal conductivity in nanosystems.
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