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Kappa Distributions and Isotropic Turbulence [PDF]

Entropy (Basel), 2019
In this work, the two-point probability density function (PDF) for the velocity field of isotropic turbulence is modeled using the kappa distribution and the concept of superstatistics.
Gravanis E, Akylas E, Panagiotou C, Livadiotis G.   +3 more
europepmc   +5 more sources

Statistical Uncertainties of Space Plasma Properties Described by Kappa Distributions [PDF]

Entropy, 2020
The velocities of space plasma particles often follow kappa distribution functions, which have characteristic high energy tails. The tails of these distributions are associated with low particle flux and, therefore, it is challenging to precisely resolve
G Nicolaou, G Livadiotis, Nicolaou Georgios   +2 more
exaly   +4 more sources

Correlations and Kappa Distributions: Numerical Experiment and Physical Understanding [PDF]

Entropy
Kappa distributions, their statistical framework, and their thermodynamic origin describe systems with correlations among their particle energies, residing in stationary states out of classical thermal equilibrium/space plasmas, from solar wind to the ...
D J Mccomas, G Livadiotis, Livadiotis George   +2 more
exaly   +4 more sources

On the Stochastic Dynamics for the Regularized Kappa-Distributed Plasmas. [PDF]

Entropy (Basel)
The generalized fluctuation–dissipation relations that produce the regularized Kappa distributions are studied. The two-variable Fokker–Planck equation, as well as its reductions in the absence of potential and in the overdamped limit, are considered ...
Guo R.
europepmc   +5 more sources

Olbert’s Kappa Fermi and Bose Distributions [PDF]

Frontiers in Physics, 2021
The quantum version of Olbert’s kappa distribution applicable to fermions is obtained. Its construction is straightforward but requires recognition of the differences in the nature of states separated by Fermi momenta. Its complement, the bosonic version
R. A. Treumann, R. A. Treumann, Wolfgang Baumjohann   +2 more
doaj   +3 more sources

Langevin based turbulence model and its relationship with Kappa distributions. [PDF]

Sci Rep, 2022
Kappa distributions (or $$\kappa $$ κ -like distributions) represent a robust framework to characterize and understand complex phenomena with high degrees of freedom, as turbulent systems, using non-extensive statistical mechanics.
Gallo-Méndez I, Moya PS.
europepmc   +2 more sources

Transport Equation of Kappa Distributions in the Heliosphere

The Astrophysical Journal, 2023
In this paper, we develop the transport equation of kappa, the fundamental thermodynamic parameter that labels kappa distributions of particle velocities.
G. Livadiotis, D. J. McComas
doaj   +2 more sources

“Lagrangian Temperature”: Derivation and Physical Meaning for Systems Described by Kappa Distributions

Entropy, 2014
The paper studies the “Lagrangian temperature” defined through the entropy maximization in the canonical ensemble, which is the negative inverse Lagrangian multiplier corresponding to the constraint of internal energy.
G Livadiotis, Livadiotis George
exaly   +3 more sources

Kappa Distributions: Statistical Physics and Thermodynamics of Space and Astrophysical Plasmas

Universe, 2018
Kappa distributions received impetus as they provide efficient modelling of the observed particle distributions in space and astrophysical plasmas throughout the heliosphere.
G Livadiotis, Livadiotis George
exaly   +3 more sources

Kappa Distributions: Theory and Applications in Space Plasmas [PDF]

Solar Physics, 2010
At the time of submission to arxiv this paper is under consideration of editors for publication in a review journal.
V Pierrard, M Lazar, Pierrard V
exaly   +3 more sources