Statistics
Scientific paper
Apr 2008
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008dmap.conf..283l&link_type=abstract
DARK MATTER IN ASTROPARTICLE AND PARTICLE PHYSICS. Proceedings of the 6th International Heidelberg Conference. Held 24-28 Septem
Statistics
Nonextensive Statistics, Dark Matter, Plasma, Density Disrtibutions
Scientific paper
The classical Boltzmann-Gibbs-Shannon (BGS) extensive thermostatistics applies whenever gravitational and/or electromagnetic interactions are short ranged. However, clustered astrophysical structures are generally subject to nonlocal couplings making their behavior nonextensive. Moreover, lacking physical justification, the characteristics of observed dark matter (DM) and plasma density distributions galaxies and clusters were hitherto exclusively studied by empirical fitting relations. Based on a nonextensive generalization of the standard BGS statistics we review a recently introduced theory where the underlying tandem character of the entropy results fundamentally in a bifurcation of the corresponding density profiles. As natural consequence the radial structure of both, the kinetic DM and thermodynamic plasma distributions, manifest coexisting, are controlled by a single parameter quantifying the degree of correlations in the system. Significant consequences of nonextensive duality are illuminated and the density characteristics arising from long-range interactions with those available from standard BGS statistics are compared. The theoretically derived density profiles reproduce systematically the spatial dependences of DM and hot plasma distributions as observed or generated simulations. It is argued to favor the nonextensive approach, fundamentally derived from entropy generalization and accounting for nonlocal correlations, over phenomenological fitting procedures.
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