2.57
Nano-to-Macro Transport Processes
Professor Gang Chen
Tel: (617) 253-0006
Email: gchen2@mit.edu
Room 3-158
Mechanical Engineering Department
Massachusetts Institute of Technology
Cambridge, MA 02139
Time: MW 1:00-2:30
Location: 1-246
Office Hours: M 2:30-4:00, W12-1:00 at Rm. 3-158
TA: Ronggui Yang
Tel: (617) 253-3555
Email: ronggui@mit.edu
Office Hours: TuF (TBD) at Rm. 7-042
Catalog Description: 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.
Website: http://web.mit.edu/2.57/www
Class List: 2.57@mit.edu
Homework: Weekly homework, plus comments on book
chapters
Due in class on Mondays.
Grading:
Weekly Homework Assignment 20%
Two midterms (in class) 25% each
One long homework assignment 15%
Notes and Paper Report 15%
Textbook:
Book Draft: Nano-to-Macro Energy Transport, G. Chen
Available on Kerberized web page
Tentative Schedule
Week 1
9/4
Introduction to nanotechnology and nanoscale transport phenomena.
Week 2
9/9
Simple
kinetic theory and mean free path, quantum and classical size effects
9/11
Energy states. Material waves, quantum wells, quantum wires,
quantum dots
Week 3
9/16
Harmonic oscillators,
rigid rotors, hydrogen atoms
9/18 Crystal
structures, reciprocal space
Week 4
9/23 Student
holiday, no class
9/25 Electronic
band structures
Week 5
9/30
Lattice vibration
10/2
Density of
states, bulk and nanostructures
Week 6
10/7
Thermal
energy. Statistical distributions
10/9
Internal energy
and specific heat, bulk and nanostructures
Week 7
10/14
Columbus day, no
class
10/16
Midterm 1
Week 8
10/21
Energy
transport by waves. Wave propagation and
reflection
10/23
Wave
interference and Wave tunneling
Week 9
10/28
Wave vs. particle picture
10/30
Energy transport by particles.
Boltzmann transport equation
Week 10
11/4
Classical constitutive equations
11/6
Conservative equations
Week 11
11/11
Veteran day, no
class
11/13
Classical size
effects on electrical and thermal properties
Week 12
11/18
Classical size
effects on molecular transport
11/20
Nonlocal
transport in complex nanostructures
Week 13
11/25
Midterm
11/27
Energy conversion and heat generation
Week 14
12/2
Energy
conversion and heat generation
12/4
Liquid and
phase change
Week 15
12/9 Interfaces
and self-assembly
12/11 Nanotechnology
snapshot
Recommended Readings
1.
Books (on reserve)
Microscale Heat Transfer
Microscale Energy Transport, Eds. C.L. Tien, A. Majumdar, and F. Gerner, Taylor and Francis, 1997.
Quantum Mechanics
L.D. Landau and E.M. Lifshitz, Quantum Mechanics, Pergamon Press, 3rd Ed.
C. Cohen-Tannoudji, B. Diu, F. Laloe, Quantum Mechanics, Vol. 1, Wiley, 1977.
Solid-State Physics
C.Kittel, Introduction to Solid State Physics, 7th Ed., Wiley, 1996.
N.W. Ashcroft and N.D. Mermin, Solid State Physics, Saunders College, 1976.
Electromagnetism
M. Born and E. Wolf, Principle of Optics, 7th Ed., Cambridge University Press, 1999.
Electronics
S.M. Sze, Physics of Semiconductor Devices, 2nd Ed., Wiley, 1981.
K. Hess, Advanced Theory of Semiconductor Devices, IEEE Press, 2000.
Thermal Physics and Kinetics
C. Kittel and H. Kroemer, Thermal Physics, 2nd Ed., Freeman and Company, 1980.
W.G.Vincenti and C.H. Kruger, Jr., Introduction to Physical Gas Dynamics, Krieger, 1986.
2. Papers
A list of suggested papers for
every week will be available online.