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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.
List of contents
Introduction.- Thermal Transport.- First Principles Calculations.- Thermal Transport of Bulk Semiconductors in the KCM.- Low Dimension Thermal Conductivity in the KCM.- Phonon Spectrum and Transient Regimes in the KCM.- Geometric Effects in Complex Experiments.- Conclusions.
About the author
Pol Torres' scientific and professional career is based on a background in physics and energy engineering complemented with master studies in nanotechnology and materials science. His research career started with experimental and theoretical work on the thermal decomposition of precursors to synthetize and characterize superconductor samples. His doctoral work focused on a theoretical study of thermal transport in semiconductors within a microscopic and macroscopic framework.
Summary
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.
