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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.


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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
Lecture 12 - EM Waves: Reflection at a Single Interface
Lecture 13 - EM Wave Propagation Through Thin Films and Multilayers
Lecture 14 - Wave Phenomena and Landauer Formalism
Lecture 15 - Particle Description, Liouville and Boltzmann Equations
Lecture 16 - Fermi Golden Rule and Relaxation Time Approximation
Lecture 17 - Solutions to Boltzmann Equation: Diffusion Laws
Lecture 18 - Electron Transport and Thermoelectric Effects
Lecture 19 - Classical Size Effects, Parallel Direction
Lecture 20 - Classical Size Effects, Perpendicular Direction
Lecture 21 - Slip Condition, Coupled Energy Transport & Conversion
Lecture 22 - PN Junction, Diode and Photovoltaic Cells
Lecture 23 - Liquids: Brownian Motion and Forces in Liquids
Lecture 24 - Electrical Double Layer, Size Effects in Phase Change
Lecture 25 - Statistical Foundation for Molecular Dynamics Simulation