Statistical mechanics and equilibrium sequences of ellipticals

Details Statistical mechanics and equilibrium sequences of ellipticals Statistical mechanics and equilibrium sequences of ellipticals

Nov 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987mnras.229...61s&link_type=abstract

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 229, Nov. 1, 1987, p. 61-71. Research supported by the

Physics

Condensed Matter

Statistical Mechanics

48

Astronomical Models, Elliptical Galaxies, Statistical Mechanics, Angular Momentum, Conservation Laws, Maximum Entropy Method, Partitions (Mathematics), Relaxation (Mechanics)

Scientific paper

The possible existence of additional global quantities which could constrain the process of violent relaxation and lead to the (meta-)stable state which is usually referred to as the product of incomplete violent relaxation is considered. Under the assumption that only one additional conserved quantity is relevant, an expression for the distribution function is obtained which maximizes the classical Boltzman entropy. Alternately, by using a partition in phase space which does not assign equal weights to the microstates, it is demonstrated that distrbution functions capable of representing the luminosity profiles of ellipticals can be derived by imposing the conservation of the angular momentum of stars lying at large radii.

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