Statistics – Computation
Scientific paper
Feb 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993apj...404...63p&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 404, no. 1, p. 63-72.
Statistics
Computation
Computational Astrophysics, Cosmology, Galactic Evolution, Gravitational Effects, Rotating Bodies, Rotating Fluids, Computational Fluid Dynamics, Density Distribution, Equilibrium Equations, Free Energy, Spheroids
Scientific paper
The multiple equilibria of a rotating self-gravitating fluid body embedded in an external medium and condensed around a central mass seed are investigated. The body's density is approximated as constant on nested spheroids, and it is shown that there is a range of parameters for which three equilibrium configurations exist. It is argued that this is a generic result for axisymmetric bodies. To distinguish the 'preferred' equilibria, a free energy is defined, and it is proven that it never increases for isothermal bodies when internal temperature and external pressure are constant. Of the three equilibria states, the free energy is minimized by two: one compact and one diffuse.
Praton Elizabeth A.
Traschen Jennie
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