Physics – Condensed Matter – Statistical Mechanics
Scientific paper
Dec 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991mnras.253..703h&link_type=abstract
Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 253, Dec. 15, 1991, p. 703-709. Research supported by C
Physics
Condensed Matter
Statistical Mechanics
53
Brightness Distribution, Computational Astrophysics, Elliptical Galaxies, Relaxation Method (Mathematics), Statistical Mechanics, Astronomical Models, Astronomical Photometry, Distribution Functions, Energetic Particles, Gravitational Collapse
Scientific paper
A theoretical examination is conducted to determine what minimal assumptions in addition to those of the statistical mechanical theory of violent relaxation are necessary to incorporate the R exp 1/4 law. The predictions of the violent relaxation-escape scheme are set forth and tested with a model distribution function. The de Vaucouleurs empirical R exp 1/4 law is naturally predicted by the isotropic equilibrium distribution function following the escape of positive energy particles and the redistribution of weakly bound particles. The surface photometry of the standard elliptical NGC 3379 can be fitted by the residuals from the R exp 1/4 law which requires a deep central potential. Cold dissipationless collapse can provide the potential as can dissipational processes supported by supplementary evidence.
Hjorth Jens
Madsen Jes
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