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Chaotic electronic scattering with He
Journal article   Peer reviewed

Chaotic electronic scattering with He

Jian-Min Yuan and Yan Gu
Chaos (Woodbury, N.Y.), v 3(4), pp 569-580
01 Oct 1993
PMID: 12780062

Abstract

Mathematics Mathematics, Applied Physical Sciences Physics Physics, Mathematical Science & Technology
We investigate classical electronic collisions with a He+ ion. Scattering functions, such as the scattering angle, collisional time, or energy of the outgoing electron, all exhibit an interesting hierarchial self-similar structure, which can be interpreted in terms of the indefinite number of electronic returns to the vicinity of the nucleus, encounters between electrons, and Keplerian excursions of electrons during the collisional processes. Based on this mechanism a binary coding is introduced to organize the dynamics of this three-body system and to provide an understanding of the self-similarity among generations of scale magnification, which yields escape rates that vary with the sectional cut into the parameter space. The self-similarity displayed within a single generation, on the other hand, can be simply tied to the periods of the two independent electronic excursions. The physical interpretation and the symbolic dynamics introduced here are generally useful for three-body collisional systems, including atomic, molecular, or stellar collisions.

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Collaboration types
Domestic collaboration
International collaboration
Web of Science research areas
Mathematics, Applied
Physics, Mathematical
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