Classical dynamics near the triple collision in a three-body coulomb problem

We investigate the classical motion of three charged particles with both attractive and repulsive interactions. The triple collision is a main source of chaos in such three-body Coulomb problems. By employing the McGehee scaling technique, we analyze here for the first time in detail the three-body...

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Bibliographic Details
Published in:Physical review letters 2004-07, Vol.93 (5), p.054302.1-054302.4, Article 054302
Main Authors: NARK NYUL CHOI, LEE, Min-Ho, TANNER, Gregor
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Nonlinear dynamics and nonlinear dynamical systems
Physics
Semiclassical chaos ("quantum chaos")
Solid dynamics (ballistics, collision, multibody system, stabilization...)
Solid mechanics
Statistical physics, thermodynamics, and nonlinear dynamical systems
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Summary:We investigate the classical motion of three charged particles with both attractive and repulsive interactions. The triple collision is a main source of chaos in such three-body Coulomb problems. By employing the McGehee scaling technique, we analyze here for the first time in detail the three-body dynamics near the triple collision in 3 degrees of freedom. We reveal surprisingly simple dynamical patterns in large parts of the chaotic phase space. The underlying degree of order in the form of approximate Markov partitions may help in understanding the global structures observed in quantum spectra of two-electron atoms.
ISSN:0031-9007
1079-7114
DOI:10.1103/physrevlett.93.054302