MG11 
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Non-extensive statistical theory of density distributions in gravitationally clustered structures

The radial profiles of dark matter (DM) and hot gas density distributions in galaxies and clusters are commonly fitted by empirical functions. Vice versa, the fundamental concept of entropy generalization in non-extensive statistics accounts for long-range interactions and correlations in a system. We present a new theory where the underlying entropy duality generates a bifurcation of the density distribution into a kinetic DM and thermodynamic gas branch. The derived profiles, controlled by the mean energy and degree of correlations of the system, reproduce accurately the radial dependences known from observations and simulations. We suggest modeling density distributions of clustered matter within the fundamental context of entropy generalization, accounting for nonlocality and long-range interactions in gravitationally coupled systems.