Nano-to-Macro Transport Processes

Parallel treatments of photons, electrons, phonons, and molecules as energy carriers, aiming at fundamental understanding and descriptive tools for energy and heat transport processes from nanoscale continuously to macroscale. Topics include the energy levels, the statistical behavior and internal energy, energy transport in the forms of waves and particles, scattering and heat generation processes, Boltzmann equation and derivation of classical laws, deviation from classical laws at nanoscale and their appropriate descriptions, with applications in nano- and microtechnology.

1. Intro to Nanotechnology, Nanoscale Transport Phenomena.
2. Characteristic Time and Length, Simple Kinetic Theory.
3. Schrödinger Equation and Material Waves.
4. Solutions to Schrödinger Equation, Energy Quantization.
5. Electronic Levels in One-Dimensional Lattice Chain.
6. Crystal Bonding & Electronic Energy Levels in Crystals.
7. Phonon Energy Levels in Crystal and Crystal Structures.
8. Density of States and Statistical Distributions.
9. Specific Heat and Planck's Law.
10. Fundamental of Statistical Thermodynamics.
11. Energy Transfer by Waves: Plane Waves.
12. EM Waves: Reflection at a Single Interface.
13. EM Wave Propagation Through Thin Films & Multilayers.
14. Wave Phenomena and Landauer Formalism.
15. Particle Description, Liouville & Boltzmann Equations.
16. Fermi Golden Rule and Relaxation Time Approximation.
17. Solutions to Boltzmann Equation: Diffusion Laws.
18. Electron Transport and Thermoelectric Effects.
19. Classical Size Effects, Parallel Direction.
20. Classical Size Effects, Perpendicular Direction.
21. Slip Condition, Coupled Energy Transport & Conversion.
22. PN Junction, Diode and Photovoltaic Cells.
23. Liquids: Brownian Motion and Forces in Liquids.
24. Electrical Double Layer, Size Effects in Phase Change.
25. Statistical Foundation for Molecular Dynamics Simulation.