MIT 2.57 Nano-to-Micro Transport Processes, Spring 2012

This course aims at a fundamental understanding of descriptive tools for energy and heat transport processes, from nanoscale to macroscale. Student will further learn the applications in nanotechnology and microtechnology. Created by MIT OpenCourseWare.

Average Course Length

50 hours

Skill Level


Pick a lesson

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