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2.570

Nano-to-Macro Transport Processes

3-0-9 units · Undergraduate

Parallel treatments of photons, electrons, phonons, and molecules as energy carriers; aiming at a fundamental understanding of descriptive tools for energy and heat transport processes, from nanoscale to macroscale. Topics include energy levels; 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; and deviation from classical laws at nanoscale and their appropriate descriptions. Applications in nanotechnology and microtechnology. Students taking the graduate version complete additional assignments.

Spring 2012

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.

Readings

  • Listed reading
  • Listed reading
  • LEC #: 1 · TOPICS: Intro to Nanotechnology and Nanoscale Transport Phenomena · REFERENCES: Chapter 1
    Reading assignment
  • LEC #: 2 · TOPICS: Characteristic Time and Length, Simple Kinetic Theory · REFERENCES: Chapter 1
    Reading assignment
  • LEC #: 3 · TOPICS: Schrödinger Equation and Material Waves · REFERENCES: Chapter 2
    Reading assignment
  • LEC #: 4 · TOPICS: Solution of Schrödinger Equation, Energy Quantization · REFERENCES: Chapter 2
    Reading assignment
  • LEC #: 5 · TOPICS: Electronic Levels in One-Dimensional Lattice Chain · REFERENCES: Chapter 3
    Reading assignment
  • LEC #: 6 · TOPICS: Crystal Bonding and Electronic Energy Levels in Crystals · REFERENCES: Chapter 3
    Reading assignment
  • LEC #: 7 · TOPICS: Phonon Energy Levels in Crystal and Crystal Structures · REFERENCES: Chapter 3
    Reading assignment
  • LEC #: 8 · TOPICS: Density of States and Statistical Distributions · REFERENCES: Chapter 3-4
    Reading assignment
  • LEC #: 9 · TOPICS: Specific Heat and Planck’s Law · REFERENCES: Chapter 4
    Reading assignment
  • LEC #: 10 · TOPICS: Fundamental of Statistical Thermodynamics · REFERENCES: Chapter 4
    Reading assignment
  • LEC #: 11 · TOPICS: Energy Transfer by Waves: Plane Waves · REFERENCES: Chapter 5
    Reading assignment
  • LEC #: 12 · TOPICS: Electromagnetic Waves: Reflection at a Single Interface · REFERENCES: Chapter 5
    Reading assignment
  • LEC #: 13 · TOPICS: EM Wave Propagation Through Thin Films and Multilayers · REFERENCES: Chapter 5
    Reading assignment
  • LEC #: 14 · TOPICS: Wave Phenomena and Landauer Formalism · REFERENCES: Chapters 5–6
    Reading assignment
  • LEC #: 15 · TOPICS: Particle Description, Liouville and Boltzmann Equations · REFERENCES: Chapter 6
    Reading assignment
  • LEC #: 16 · TOPICS: Fermi Golden Rule and Relaxation Time Approximation · REFERENCES: Chapter 6
    Reading assignment
  • LEC #: 17 · TOPICS: Solutions to Boltzmann Equation: Diffusion Laws · REFERENCES: Chapter 6
    Reading assignment
  • LEC #: 18 · TOPICS: Electron Transport and Thermoelectric Effects · REFERENCES: Chapter 6
    Reading assignment
  • LEC #: 19 · TOPICS: Classical Size Effects, Parallel Direction · REFERENCES: Chapter 7
    Reading assignment
  • LEC #: 20 · TOPICS: Classical Size Effects, Perpendicular Direction · REFERENCES: Chapter 7
    Reading assignment
  • LEC #: 21 · TOPICS: Slip Condition, Coupled Energy Transport and Conversion · REFERENCES: Chapter 7-8
    Reading assignment
  • LEC #: 22 · TOPICS: PN junction, Diode and Photovoltaic Cells · REFERENCES: Chapter 8
    Reading assignment
  • LEC #: 23 · TOPICS: Liquids: Brownian Motion and Forces in Liquids · REFERENCES: Chapter 9
    Reading assignment
  • LEC #: 24 · TOPICS: Electrical Double Layer, Size Effects in Phase Change · REFERENCES: Chapter 9
    Reading assignment
  • LEC #: 25 · TOPICS: Statistical Foundation for Molecular Dynamics Simulation · REFERENCES: Chapter 10
    Reading assignment
  • Griffiths, D. J. “Quantum Mechanics.” In Introduction to Quantum Mechanics . Prentice Hall, 1994. ISBN: 9780131244054.
    Recommended
  • Kittel, C. “Solid-State Physics.” In Introduction to Solid State Physics . 7th ed. Wiley, 1995. ISBN: 9780471111818.
    Recommended
  • Recommended
  • Sze, S. M. “Electronics.” In Physics of Semiconductor Devices . 2nd ed. Wiley, 1981. ISBN: 9780471056614.
    Recommended
  • Kittel, C., and H. Kroemer. “Thermal Physics.” In Thermal Physics . 2nd ed. Freeman and Company, 1980. ISBN: 9780716710882.
    Recommended
  • Vincenti, W. G., and C. H. Kruger, Jr., “Kinetic Theory.” In Introduction to Physical Gas Dynamics . Krieger, 1975. ISBN: 9780882753096.
    Recommended

Prerequisites & course information

Subject meets with 2.57 Prereq: 2.005 , 2.051, or permission of instructor U (Fall) Not offered regularly; consult department 3-0-9 units

Sources