Starting from a broad overview of heat transport based on the
Boltzmann Transport Equation, this book presents a comprehensive
analysis of heat transport in bulk and nanomaterials based on a
kinetic-collective model (KCM). This has become key to
understanding the field of thermal transport in semiconductors, and
represents an important stride. The book describes how heat
transport becomes hydrodynamic at the nanoscale, propagating very
much like a viscous fluid and manifesting vorticity and
friction-like behavior. It introduces a generalization of Fourier's
law including a hydrodynamic term based on collective behavior in
the phonon ensemble. This approach makes it possible to describe in
a unifying way recent experiments that had to resort to unphysical
assumptions in order to uphold the validity of Fourier's law,
demonstrating that hydrodynamic heat transport is a pervasive type
of behavior in semiconductors at reduced scales.
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