Open AccessInteraction between charged particle and strained superlattice and chaotic behaviours of the system
Author(s) -
Deng Cheng-Liang,
M. Shao,
Shijun Luo
Publication year - 2006
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.55.2422
Subject(s) - superlattice , physics , chaotic , modulation (music) , nonlinear system , particle (ecology) , motion (physics) , differential equation , galilean , classical mechanics , sine wave , condensed matter physics , quantum mechanics , computer science , oceanography , voltage , artificial intelligence , geology , acoustics
The effect on a particle motion of a deflecting channel is equated to modulation by a weak-periodic potential of similar shape as the channel. The motion equation of a particle is reduced to the nonlinear differential equation with a weak-periodic modulation by sine-squared potential. The critical conditions for the revelation of Smale horseshoe are analyzed using the Melnikov method. It is predicted that the chaotic behaviours may exit in the interaction of a particles between a crystal. Theory is provided to describe PME effects for the semicoductor superlattice.