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22.103

Nuclear Technology and Society

3-0-6 units · Graduate

Introduces the societal context and challenges for nuclear technology. Major themes include economics and valuation of nuclear power, interactions with government and regulatory frameworks, safety, quantification of radiation hazards, and public attitudes to risk. Covers policies and methods for limiting nuclear-weapons proliferation, including nuclear detection, materials security, and fuel-cycle policy.

Fall 2003 · Microscopic Theory of Transport

Topics

  • Course Overview and Introduction ( PDF )
  • Diffusion: mean square displacement ( PDF )
  • Diffusion: velocity autocorrelation - Green Kubo relations ( PDF )
  • Diffusion: Van Hove self correlation function G s (r,t) ( PDF )
  • The density correlation function G(r,t) ( PDF )
  • Properties of time correlation functions ( PDF )
  • The radial distribution function g(r)
  • Dynamic structure factor and inelastic neutron and light scattering
  • Equations for G(r,t) and phase-space correlation
  • Equations of hydrodynamics
  • Hydrodynamic theory of dynamic structure factor
  • Boltzmann equation: brief derivation
  • Boltzmann equation: collisional invariants and hydrodynamic limit
  • Continuation of Lecture 13
  • Boltzmann equation: H-theorem and equilibrium solution
  • Linearized Boltzmann equation: relaxation time models
  • Kinetic theory of G s (r,t) - Nelkin-Ghatak model
  • Continuation of Lecture 17
  • Kinetic theory of G(r,t): BGK model
  • Kinetic models, Boltzmann equation and neutron transport equation
  • Linear response theory - complex susceptibility, fluctuation-dissipation theorem
  • Continuation of Lecture 21
  • Mean Free Path Treatment of Transport (viscosity, conductivity, diffusion)
  • Continuation of Lecture 22
  • Role of atomistic simulations in transport ( PDF )
  • Basic Molecular Dynamics: time integration, potential, book keeping, flow chart, unique properties
  • Continuation of Lecture 26
  • Atomistic simulation of liquids - structure and dynamics
  • Transport phenomena beyond Boltzmann - cage effects, molasses tail, phonon lifetimes
  • Diversity of atomistic simulation applications (concepts)
  • Thermal conductivity of a solid (SiC)
  • MD studies of phase transitions - melting, vitrification and amorphization
  • Continuation of Lecture 32
  • Multiscale materials modeling - perspective and visualization
  • Final topic on transport theory: memory function, mode coupling

Readings

  • Boon, J. P., and S. Yip. Molecular Hydrodynamics. McGraw-Hill, 1980, Dover edition, 1990. ISBN: 0486669491.
    Listed reading
  • McQuarrie, D. A. Statistical Mechanics. Harper & Row, 1976. ISBN: 1891389157.
    Listed reading
  • Duderstadt, J. J., and W. R. Martin. Transport Theory. Wiley, 1979. 047104492X
    Listed reading
  • Bird, R. B., W. E. Stewart, and E. N. Lightfoot. Transport Phenomena . Wiley, 1960. ISBN: 0470115394.
    Listed reading

Prerequisites & course information

Prereq: 22.01 or permission of instructor G (Fall) 3-0-6 units Credit cannot also be received for 22.16

Sources