2.57 Nano-to-Micro Transport Processes (Spring 2012, MIT OCW): Lecture 17 - Solutions to Boltzmann Equation: Diffusion Laws

2.57 Nano-to-Micro Transport Processes

2.57 Nano-to-Micro Transport Processes (Spring 2012, MIT OCW). Instructor: Professor Gang Chen. This course aims at a fundamental understanding of descriptive tools for energy and heat transport processes, from nanoscale 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. (from ocw.mit.edu)

Lecture 17 - Solutions to Boltzmann Equation: Diffusion Laws

Students learn to solve the Boltzmann equation in the classical limit under relaxation time approximation in this lecture. Students also learn to derive the Fourier law, Newton shear law, and the electron transport process with the Ohm's Law.

Go to the Course Home or watch other lectures:

Lecture 01 - Intro to Nanotechnology, Nanoscale Transport Phenomena

Lecture 02 - Characteristic Time and Length, Simple Kinetic Theory

Lecture 03 - Schrodinger Equation and Material Waves

Lecture 04 - Solutions to Schrodinger Equation, Energy Quantization

Lecture 05 - Electronic Levels in One-Dimensional Lattice Chain

Lecture 06 - Crystal Bonding; Electronic Energy Levels in Crystals

Lecture 07 - Phonon Energy Levels in Crystal and Crystal Structures

Lecture 08 - Density of States and Statistical Distributions

Lecture 09 - Specific Heat and Planck's Law

Lecture 10 - Fundamental of Statistical Thermodynamics

Lecture 11 - Energy Transfer by Waves: Plane Waves