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Nano-to-Macro Transport Processes 2.57 MIT

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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.

Resources: Opencourseware from MIT, UC Berkeley,Stanford, Yale, U of Mich along with many of the World's finest University's and other educators.

Language: English

Professors: Michael Williams

Units: 26

Lesson content

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

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