Statistics – Computation
Scientific paper
Nov 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989apjs...71..651p&link_type=abstract
Astrophysical Journal Supplement Series (ISSN 0067-0049), vol. 71, Nov. 1989, p. 651-664.
Statistics
Computation
39
Computational Astrophysics, Flow Stability, Gravitational Effects, Distribution Functions, Eigenvalues, Entropy, Many Body Problem
Scientific paper
A straightforward and simplified derivation of the Antonov instability and gravothermal catastrophe is obtained by explicitly solving the zero eigenvalue equation associated with the second variation of the entropy. This solution also makes it possible to study the nature of the mode which triggers the instability. It turns out that this mode has a core-halo structure.
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