Nonextensive theory of dark matter and gas density profiles

Abstract

Pronounced core-halo patterns of dark matter and gas density profiles, observed in relaxed galaxies and clusters, were hitherto fitted by empirical power-laws. On the other hand, similar features are well known from astrophysical plasma environments, subject to long-range interactions, modeled in the context of nonextensive entropy generalization. We link nonextensive statistics to the problem of density distributions in large-scale structures and provide fundamentally derived density profiles, representing accurately the characteristics of both, dark matter and hot plasma distributions, as observed or generated in simulations. The bifurcation of the density distribution into a kinetic dark matter and thermodynamic gas branch turns out as natural consequence of the theory and is controlled by a single parameter kappa, measuring physically the degree of coupling within the system. Consequently, it is proposed to favor nonextensive distributions, derived from the fundamental physical context of entropy generalization and accounting for nonlocality and long-range interactions in gravitationally coupled systems, when modeling observed density profiles of astrophysical structures.

arXiv comment7 pages, 3 figures, published in Astrophys. J. 632, L1, 2005

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Cited by in corpus (31)

• Tsallis Holographic Dark Energy
• Generalized entropy formalism and a new holographic dark energy model
• Nonextensive statistical effects in protoneutron stars
• Simulated Dark-Matter Halos as a Test of Nonextensive Statistical Mechanics
• Nonextensivity and the power-law distributions for the systems with self-gravitating long-range interactions
• Test of Nonextensive Statistical Mechanics by Solar Sound Speeds
• Spherical galaxy models as equilibrium configurations in nonextensive statistics
• Modified Debye-Huckel Electron Shielding and Penetration Factor
• The property of kappa-deformed statistics for a relativistic gas in an electromagnetic field: kappa parameter and kappa-distribution
• Effects of Anisotropy on the Sign-Changeable Interacting Tsallis Holographic Dark Energy
• The nonextensive parameter for nonequilibrium plasmas in magnetic field
• Dark matter density profiles: A comparison of nonextensive theory with N-body simulations
• The nonextensive parameter for the rotating astrophysical systems with power-law distributions
• The stationary state and gravitational temperature in a pure self-gravitating system
• The nonextensive statistical ensembles with dual thermodynamic interpretations
• Entropic Upper Bound on Gravitational Binding Energy
• ARCRAIDER I: Detailed optical and X-ray analysis of the cooling flow cluster Z3146
• Nonextensive thermodynamic relations based on the assumption of temperature duality
• Two physical explanations of the nonextensive parameter in a self-gravitating system
• Stability analysis of the classical ideal gas in nonextensive statistics and the negative specific heat
• Thermodynamic stability criterion and fluctuation theory in nonextensive thermodynamics
• Rotation Curves and Nonextensive Statistics
• Velocity Distributions from Nonextensive Thermodynamics
• The collision frequency of electron-neutral-particle in the weakly ionized plasma with the power-law velocity distribution
• The limit behavior of the evolution of Tsallis entropy in self-gravitating systems
• The dual formalisms of nonextensive thermodynamics for open systems with maximum entropy principle
• The adiabatic static linear response function in nonextensive statistical mechanics
• Thermodynamic properties of the solid and metal electrons in the nonextensive quantum statistics with a nonextensive parameter transformation
• Crab pulsar spectrum: a non-extensive approach
• The gravitational heat conduction and the hierarchical structure in solar interior
• The collision frequencies of charged particles in the complex plasmas with the non-Maxwellian velocity distributions