On entropy and stellar systems

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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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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