A nonextensive entropy approach to kappa-distributions
arXiv:astro-ph/0111444 · doi:10.1023/A:1020990413487
Abstract
Most astrophysical plasmas are observed to have velocity distribution functions exhibiting non-Maxwellian suprathermal tails. The high energy particle populations are accurately represented by the family of kappa-distributions where the use of these distributions has been unjustly criticized because of a perceived lack of theoretical justification. We show that distributions very close to kappa-distributions are a consequence of the generalized entropy favored by nonextensive statistics, which provides the missing link for power-law models of non-thermal features from fundamental physics. With regard to the the physical basis supplied by the Tsallis nonextensive entropy formalism we propose that this slightly modified functional form, qualitatively similar to the traditional kappa-distribution, be used in fitting particle spectra in the future.
8 pages, 1 figure
References in corpus (4)
Cited by in corpus (54)
- Kappa distributions: theory and applications in space plasmas
- Ion acoustic waves in the plasma with the power-law q-distribution in nonextensive statistics
- A nonextensive entropy approach to solar wind intermittency
- Measuring nebular temperatures: the effect of new collision strengths with equilibrium and kappa-distributed electron energies
- Upgrading electron temperature and electron density diagnostic diagrams of forbidden line emission
- A transonic collisionless model of the solar wind
- A nonextensive approach for the instability of current-driven ion-acoustic waves in space plasma
- Tsallis statistics as a tool for studying interstellar turbulence
- Electrostatic shock dynamics in superthermal plasmas
- Dust-acoustic instability driven by drifting ions and electrons in the dust plasma with Lorentzian kappa distribution
- Electron Power-Law Spectra in Solar and Space Plasmas
- Nonextensive theory of dark matter and gas density profiles
- Kappa distribution and hard X-ray emission of solar flares
- KAPPA: A Package for Synthesis of optically thin spectra for the non-Maxwellian kappa-distributions based on the CHIANTI database
- Acceleration of weakly collisional solar-type winds
- Misestimation of temperature when applying Maxwellian distributions to space plasmas described by kappa distributions
- H to Zn Ionization Equilibrium for the Non-Maxwellian Electron kappa-distributions: Updated Calculations
- Single-particle velocity distributions of collisionless, steady-state plasmas must follow Superstatistics
- Probing the physics of narrow-line regions of Seyfert galaxies I: The case of NGC 5427
- H I Free-Bound Emission of Planetary Nebulae with Large Abundance Discrepancies: Two-Component Models versus Kappa-distributed electrons
- Thermodynamics of the inner heliosheath
- Physical correlations lead to kappa distributions
- Modeling space plasma dynamics with anisotropic Kappa distributions
- Is the Weibel instability enhanced by the suprathermal populations, or not?
- Kinetic theory of acoustic-like modes in nonextensive pair plasmas
- Diagnostics of non-thermal distributions in solar flare spectra observed by RESIK and RHESSI
- Nonlinear Landau damping and modulation of electrostatic waves in a nonextensive electron-positron-pair plasma
- The diffusion of charged particles in the weakly ionized plasma with power-law kappa-distributions
- Theory of gyroresonance and free-free emissions from non-Maxwellian quasi-steady-state electron distributions
- The nonextensive parameter for the rotating astrophysical systems with power-law distributions
- Dark matter density profiles: A comparison of nonextensive theory with N-body simulations
- Cluster temperatures and non-extensive thermo-statistics
- Transport coefficients of the fully ionized plasma with kappa-distribution and in strong magnetic field
- Slowing down of charged particles in dusty plasmas with pawer-law kappa-distributions
- Probability density functions for the variable solar wind near the solar cycle minimum
- On the non-thermal kappa-distributed electrons in planetary nebulae and HII regions: the kappa index and its correlations with other nebular properties
- Constraints on the densities and temperature of Seyfert 2 NLR
- Kappa distribution from particle correlations in non-equilibrium, steady-state plasmas
- The Theory of Thermodynamic Relativity
- Entropic Upper Bound on Gravitational Binding Energy
- Effect of magnetic field on viscosity in the weakly ionized and magnetized plasma with power-law q-distributions in nonextensive statiostics
- Electromagnetic ion-cyclotron instability in a dusty plasma with product-bi-kappa distributions for the plasma particles
- X-ray Spectra from Plasmas with High-Energy Electrons: kappa-distributions and e-e Bremsstrahlung
- Electron Energy Distributions in the Extended Gas Nebulae associated with High-z AGN: Maxwell-Boltzmann vs. kappa distributions
- The collision frequency of electron-neutral-particle in the weakly ionized plasma with the power-law velocity distribution
- Crab pulsar spectrum: a non-extensive approach
- Collisional charging of dust particles by suprathermal plasmas. II -- Regularized Kappa distributions
- Collisional charging of dust particles by suprathermal particles. I -- Standard anisotropic Kappa distributions
- Weakly turbulent plasma processes in the presence of inverse power-law velocity tail population
- Sharp estimates, uniqueness and spikes condensation for superlinear free boundary problems arising in plasma physics
- Generalised partition functions: Inferences on phase space distributions
- The collisional relaxation rate of kappa-distributed plasma with multiple components
- Nonthermal particle acceleration from maximum entropy in collisionless plasmas
- Unified Description of Kappa-type velocity distributions