Frontiers in Astronomy and Space Sciences, 2021 The possible influence of MHD turbulence on the energy distributions of ions in the Earth's plasma sheet was studied using data taken by the THEMIS satellites.
A. V. Eyelade +9 more
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Determining the Bulk Parameters of Plasma Electrons from Pitch-Angle Distribution Measurements
Entropy, 2020 Electrostatic analysers measure the flux of plasma particles in velocity space and determine their velocity distribution function. There are occasions when science objectives require high time-resolution measurements, and the instrument operates in short
Georgios Nicolaou +5 more
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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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Loading a relativistic Kappa distribution in particle simulations
Physics of Plasmas, 2022 A procedure for loading particle velocities from a relativistic kappa distribution in particle-in-cell and Monte Carlo simulations is presented. It is based on the rejection method and the beta prime distribution. The rejection part extends earlier method for the Maxwell–Jüttner distribution, and then the acceptance rate reaches ≳95%.
Seiji Zenitani, Shin'ya Nakano
openaire +2 more sources
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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Penalized likelihood approach for the four-parameter kappa distribution
Journal of Applied Statistics, 2021 The four-parameter kappa distribution (K4D) is a generalized form of some commonly used distributions such as generalized logistic, generalized Pareto, generalized Gumbel, and generalized extreme value (GEV) distributions. Owing to its flexibility, the K4D is widely applied in modeling in several fields such as hydrology and climatic change.
Nipada Papukdee +2 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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On the Simplification of Statistical Mechanics for Space Plasmas
Entropy, 2017 Space plasmas are frequently described by kappa distributions. Non-extensive statistical mechanics involves the maximization of the Tsallis entropic form under the constraints of canonical ensemble, considering also a dyadic formalism between the ...
George Livadiotis
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Energy distribution of precipitating electrons estimated from optical and cosmic noise absorption measurements [PDF]
Annales Geophysicae, 2004 This study is a statistical analysis on energy distribution of precipitating electrons, based on CNA (cosmic noise absorption) data obtained from the 256-element imaging riometer in Poker Flat, Alaska (65.11° N, 147.42° W), and optical data measured ...
H. Mori +8 more
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