This lecture provides a theoretical development of the transport of thermal energy by conduction in nanomaterials. The physical nature of energy transport by two carriers—electrons and phonons--will be explored from basic principles using a common Landauer framework. Issues including the quantum of thermal conductance, ballistic interface resistance, and carrier scattering will be developed. Bulk material properties, such as thermal conductivity, will be derived from particle transport theories, and the effects of spatial confinement and material interfaces on these properties will be established.
- Lattice vibrations and phonons
- The vibrating string
- Interfaces between dissimilar strings:
- Discrete masses and the vibrational eigenspectrum
- Thermal properties and larger scales
Researchers should cite this work as follows:
Timothy S Fisher (2011), "Tutorial 2: A Bottom-Up View of Heat Transfer in Nanomaterials," http://nanohub.org/resources/11029.
MSEE B012, Purdue University, West Lafayette, IN