2.57 Nano-to-Micro Transport Processes (Spring 2012, MIT OCW): Lecture 15 - Particle Description, Liouville and Boltzmann Equations

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 15 - Particle Description, Liouville and Boltzmann Equations

In this lecture, students learn to determine how fast particles travel, and topics including wave to particle transition and particle transport processes with Liouville equation and Boltzmann equation.

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