Statistics – Computation
Scientific paper
Feb 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993apj...404...73h&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 404, no. 1, p. 73-80.
Statistics
Computation
29
Celestial Mechanics, Many Body Problem, Orbital Mechanics, Computational Astrophysics, Relaxation Time
Scientific paper
Two types of orbital deflection in N-body systems with a softened field - two-body relaxation and orbital divergence - are discussed. Two-body relaxation is studied using tree code N-body simulations of King models with N ranging from 100 to 400,000, and a softening length ranging from 0.0002 to 0.075 in units of the half-mass radius. The relaxation time depends linearly on N for a fixed softening length. The energy evolution of particles is a pure random walk or diffusion process as shown by the constant rate of change of the squared energy fluctuation, and the particles' energy power spectrum follows a power law with a spectral index of -2. The diffusion time is nearly equal to the relaxation time.
Carlberg Ray G.
Dubinski John
Huang Siqin
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