H I Free-Bound Emission of Planetary Nebulae with Large Abundance Discrepancies: Two-Component Models versus Kappa-distributed electrons [PDF]
, 2013 The "abundance discrepancy" problem in the study of planetary nebulae (PNe), viz., the problem concerning systematically higher heavy-element abundances derived from optical recombination lines relative to those from collisionally excited lines, has been
Liu, Xiao-Wei, Zhang, Bing, Zhang, Yong
core +2 more sources
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.
George Livadiotis
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Nonextensive Statistical Mechanics: Equivalence Between Dual Entropy and Dual Probabilities
Entropy, 2020 The concept of duality of probability distributions constitutes a fundamental “brick” in the solid framework of nonextensive statistical mechanics—the generalization of Boltzmann–Gibbs statistical mechanics under the consideration of the q-entropy.
George Livadiotis
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The current-voltage relationship revisited: exact and approximate formulas with almost general validity for hot magnetospheric electrons for bi-Maxwellian and kappa distributions [PDF]
Annales Geophysicae, 1998 We derive the current-voltage relationship in the auroral region taking into account magnetospheric electrons for the bi-Maxwellian and kappa source plasma distribution functions.
P. Janhunen, P. Janhunen, A. Olsson
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Inferring source properties of monoenergetic electron precipitation from kappa and Maxwellian moment-voltage relationships [PDF]
, 2019 We present two case studies of FAST electrostatic analyzer measurements of both highly nonthermal ($\kappa \lesssim$~2.5) and weakly nonthermal/thermal monoenergetic electron precipitation at $\sim$4000~km, from which we infer the properties of the ...
Chaston, Chris +2 more
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Modeling interacting dynamic networks: I. Preferred degree networks and their characteristics [PDF]
, 2013 We study a simple model of dynamic networks, characterized by a set preferred degree, $\kappa$. Each node with degree $k$ attempts to maintain its $\kappa$ and will add (cut) a link with probability $w(k;\kappa)$ ($1-w(k;\kappa)$).
Jolad, Shivakumar +4 more
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Kappa and q Indices: Dependence on the Degrees of Freedom
Entropy, 2015 The kappa distributions, or their equivalent, the q-exponential distributions, are the natural generalization of the classical Boltzmann-Maxwell distributions, applied to the study of the particle populations in collisionless space plasmas.
George Livadiotis
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Characterizing cometary electrons with kappa distributions [PDF]
Journal of Geophysical Research: Space Physics, 2016 AbstractThe Rosetta spacecraft has escorted comet 67P/Churyumov‐Gerasimenko since 6 August 2014 and has offered an unprecedented opportunity to study plasma physics in the coma. We have used this opportunity to make the first characterization of cometary electrons with kappa distributions.
Broiles, T. W. +19 more
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Derivation of the entropic formula for the statistical mechanics of space plasmas [PDF]
Nonlinear Processes in Geophysics, 2018 Kappa distributions describe velocities and energies of plasma populations in space plasmas. The statistical origin of these distributions is associated with the framework of nonextensive statistical mechanics.
G. Livadiotis
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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.
George Livadiotis
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