Nonextensive Statistical Theory of Dark Matter and Plasma Density Distributions in Clustered Structures

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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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