Summary
International Symposium on Nonlinear Theory and Its Applications
2015
Session Number:C2L-D
Session:
Number:C2L-D-1
Wave Packet Propagation on an Array of Switches
Atsushi Setsuie, Shohei Hamada, Hisato Fujisaka, Takeshi Kamio,
pp.828-831
Publication Date:2015/12/1
Online ISSN:2188-5079
Summary:
This paper presents a simple microscopic model of defective conductors. The model consists of particles, particle guides, and switch boxes. The particles and probabilistic switch boxes respectively represent electrons and lattice defects scattering electrons. The model is considered as a probabilistic hybrid system since the scattering is discontinuous change of continuous motion of electrons. We have analyzed packets of probability distribution of the particle location and found that the particles lose their initial momentum at around time 1/(1-p), p : probability that the switch boxes do not change particle direction, and diffuse like random walkers.