Physics – Condensed Matter – Statistical Mechanics
Scientific paper
Sep 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987apj...320..477d&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 320, Sept. 15, 1987, p. 477-481.
Physics
Condensed Matter
Statistical Mechanics
19
Entropy, Galactic Evolution, Probability Distribution Functions, Statistical Mechanics, Stellar Motions, Stellar Systems, Hydrodynamics, Star Distribution
Scientific paper
The Tolman proof on the increase of entropy in a collisionless stellar system is discussed; it is emphasized that it does not prove that generalized H-functions are monotonically increasing in time and that it cannot be invoked to justify an arbitrary convex H-function as a basis for a variational principle. On the other hand, there are entropies that can be given a statistical foundation: the Jaynes entropy is introduced and an application is discussed. The results are of interest in theories of galactic formation and may also be applied in galaxy modeling.
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