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arXiv:astro-ph/9410091 (astro-ph)
[Submitted on 28 Oct 1994]

Title:Chaos, Regularity, and Noise in Self-Gravitating Systems

Authors:Henry E. Kandrup
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Abstract: This paper summarises a number of new, potentially significant, results, obtained recently by the author and his collaborators, which impact on various issues related to the gravitational N-body problem, both Newtonianly and in the context of general relativity. Topics addressed include: (1) direct N-body simulations and their interpretation, with reference to the observed exponential instability towards small changes in initial conditions and the phenomenon of ``nonviolent relaxation;'' (2) the Hamiltonian structure of the collisionless Boltzmann equation of general relativity, i.e., the Vlasov-Einstein system; (3) ``transient ensemble dynamics,'' i.e.,,the short time statistical characterisation of collections of orbits in nonintegrable mean field potentials; and (4) the structural stability of the smooth potential approximation typically used in galactic dynamics.
Comments: 19 pages, LaTeX, Invited plenary talk at the Seventh Marcel Grossmann Meeting July 1994
Subjects: Astrophysics (astro-ph); General Relativity and Quantum Cosmology (gr-qc); Chaotic Dynamics (nlin.CD)
Cite as: arXiv:astro-ph/9410091
  (or arXiv:astro-ph/9410091v1 for this version)
  https://doi.org/10.48550/arXiv.astro-ph/9410091

Submission history

From: [view email]
[v1] Fri, 28 Oct 1994 19:11:44 UTC (21 KB)
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