2005
DOI: 10.1016/j.newast.2005.01.005
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Dark matter distribution function from non-extensive statistical mechanics

Abstract: We present an analytical and numerical study of the velocity distribution function of self gravitating collisionless particles, which include dark matter and star clusters. We show that the velocity distribution derived through the Eddington's formula is identical to the analytical one derived directly from the generalized entropy of non-extensive statistical mechanics. This implies that self gravitating collisionless structures are to be described by non-extensive thermo-statistics. We identify a connection b… Show more

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Cited by 76 publications
(69 citation statements)
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“…Such a trend with shallower density slope implying larger q's was suggested from simplified theoretical considerations [17]. It is interesting to note that ref.…”
Section: Dependence On Initial Conditions?mentioning
confidence: 60%
“…Such a trend with shallower density slope implying larger q's was suggested from simplified theoretical considerations [17]. It is interesting to note that ref.…”
Section: Dependence On Initial Conditions?mentioning
confidence: 60%
“…They study a Milky Way sized object at redshift z = 0 that includes gas, stars and dark matter to characterize the co-rotating dark disk, which could play an important role in direct detection experiments [117]. Equilibrated self-gravitating collisionless structures have been shown to exhibit Tsallis distributions [118][119][120][121]:…”
Section: Smooth Halo Componentmentioning
confidence: 99%
“…Nonextensive thermodynamics (sometimes referred to as q-statistics) has been designed to describe systems with long dynamical memories, as in self-gravitating collisionless objects. Although other applications have been discussed by Tsallis (1999), specific applications of nonextensive thermodynamics to astrophysical situations have been discussed by Plastino & Plastino (1993), Aly (1993), Hansen et al (2005), Leubner (2005), and most recently by KLK06. One of the more interesting results of the nonextensive approach is that the associated distribution function has the same form as for a polytrope (Plastino & Plastino 1993).…”
Section: Nonextensive Thermodynamicsmentioning
confidence: 99%