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Related Experiment Videos

Chaotic electronic scattering with He(+).

Jian-Min Yuan1, Yan Gu

  • 1Department of Physics and Atmospheric Science, Drexel University, Philadelphia, Pennsylvania 19104Center for Fundamental Physics, University of Science and Technology of China, Hefei, 230026, People's Republic of China.

Chaos (Woodbury, N.Y.)
|October 1, 1993
PubMed
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This study reveals a hierarchical self-similar structure in electronic collisions with He(+) ions, explaining complex dynamics through electron returns and encounters. This offers a new way to understand three-body systems.

Area of Science:

  • Atomic and Molecular Physics
  • Quantum Mechanics
  • Computational Physics

Background:

  • Classical electronic collisions are fundamental to understanding atomic and molecular interactions.
  • Three-body systems present complex dynamics that are challenging to model.
  • Self-similarity in physical systems can offer insights into underlying mechanisms.

Purpose of the Study:

  • To investigate the hierarchical self-similar structure in classical electronic collisions with a He(+) ion.
  • To develop a symbolic dynamics approach for organizing and understanding these complex collisional processes.
  • To explore the general applicability of the findings to other three-body collisional systems.

Main Methods:

  • Analysis of scattering functions (angle, time, energy) to identify self-similar patterns.

Related Experiment Videos

  • Introduction of a binary coding system to represent the dynamics of the three-body system.
  • Examination of electronic returns, inter-electron encounters, and Keplerian excursions.

    • Main Results:

    • Observed hierarchical self-similarity in scattering functions.
    • Interpreted self-similarity through electron-nucleus proximity, electron-electron encounters, and electron orbital dynamics.
    • Developed a binary coding scheme that organizes system dynamics and explains scale magnification.
    • Identified escape rates varying with parameter space cuts and linked single-generation self-similarity to electronic excursion periods.

    Conclusions:

    • The study provides a novel interpretation of self-similarity in three-body collisional systems.
    • The introduced binary coding and physical interpretation offer a general framework for analyzing complex atomic, molecular, and stellar collisions.
    • This work advances the understanding of fundamental interaction dynamics in multi-body systems.