An H-theorem for violent relaxation?

Details An H-theorem for violent relaxation? An H-theorem for violent relaxation?

Apr 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987mnras.225..995k&link_type=abstract

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 225, April 15, 1987, p. 995-998. Research supported by

Astronomy and Astrophysics

Astronomy

16

Gravitational Collapse, Relaxation (Mechanics), Stellar Systems

Scientific paper

It is shown that the H-theorem for violent relaxation proposed by Tremaine et al. (1986) does not in fact constitute a true H-theorem inequality, and that their conjecture that H is a nondecreasing function of time cannot be inferred. A counter-example illustrates that a true H-theorem cannot be proved without exploiting some property of the gravitational potential, U. It is noted that the general class of H-functions introduced by Tremaine et al. are qualitatively different in interpretation from the standard HB functions entering into a collisional description, and that because their H-functions need not increase monotonically, they cannot be used to provide a useful characterization of the continuous dynamics.

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