Microscopic Theory of Transport, Fall 2003

Abstract:: Discusses basic physical mechanisms of particle and radiation transport due to microscopic collisions. Simple explanation of transport coefficients (e.g., diffusivity, viscosity, heat conductivity, electrical conductivity) and various nuclear cross sections. Derivation of the microscopic kinetic equation describing transport; the Boltzmann equation. Derivation of practical engineering fluid models (e.g., classical thermodynamics, the Navier Stokes equations, the neutron transport equations) from the kinetic model. Subject material elucidates the common roots of these widely different models. Transport is among the most fundamental and widely studied phenomena in science and engineering. This subject will lay out the essential concepts and current understanding, with emphasis on the molecular view, that cut across all disciplinary boundaries. (Suitable for all students in research.) Broad perspectives of transport phenomena; From theory and models to computations and simulations; Micro/macro coupling; Current research insights

Nano-to-Macro Transport Processes, Fall 2004

Abstract:: 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 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 nanotechnology and microtechnology.