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Tuesday, October 09

Charged Particle Transport in Narrow Geometries
under Strong Confinement

Christian Ringhofer, Arizona State University, Tempe
Computer Science and Mathematics Division Seminar
2:00 PM — 3:00 PM, Research Office Building (5700), Room L-204
Contact: Cory Hauck (hauckc@ornl.gov), 865.574.0730

Abstract

Kinetic transport in narrow tubes and thin plates, involving scattering of particles with a background, is modeled by classical and quantum mechanical sub-band type macroscopic equations for the density of particles (ions). The result are diffusion equation with the projection of the (asymptotically conserved) energy tensor on the confined directions as an additional free variable, on large time scales. Classical transport of ions through protein channels and quantum transport in thin films are discussed as examples of the application of this methodology.