Catalog

Nano-to-Macro Transport Processes

Mechanical Engineering MIT CC BY-NC-SA 4.0 25 lectures

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.

Syllabus

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

Course materials