Mass segregation, relaxation, and the Couloumb logarithm in N-body systems (again)

Details Mass segregation, relaxation, and the Couloumb logarithm in N-body systems (again) Mass segregation, relaxation, and the Couloumb logarithm in N-body systems (again)

Jun 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994apj...427..676f&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 427, no. 2, p. 676-683

Statistics

Computation

20

Astrodynamics, Celestial Mechanics, Computational Astrophysics, Computerized Simulation, Coulomb Potential, Galactic Clusters, Gravitational Fields, Many Body Problem, Numerical Analysis, Relaxation Time, Boundary Value Problems, Configurations, Density Distribution, Dispersion, Scattering, Spatial Distribution, Velocity Distribution

Scientific paper

The question of the upper cutoff bmax in the 'Coulomb logarithm' for self-gravitating N-body systems has been reexamined, based on both large-scale mass segregation and cumulative squared changes in orbital energies as measures of relaxation. Simulations of greater scope than those of an earlier study of the authors, together with a more sophisticated statistical procedure for estimating bmax, unequivocally support the conclusion of that study -- namely, bmax has a roughly constant value comparable to the half-mass radius R, rather than a value approximately N-1/3R representative of the mean interparticle spacing that decreases with N. The ratios of the relaxation times observed in simulations using different softening lengths for the gravitational potential exhibit an N-dependence that agrees quantitatively with the postulate bmax approximately equals R, but is conspicuously inconsistent with bmax approximately equals N-1/3R. These findings do not corroborate those of Smith (1992).

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