Kappa Distributions

Dr. George Livadiotis is a Senior Research Scientist in Southwest Research Institute. He is a leading expert on the field of kappa distributions and its statistical background, the framework of non-extensive statistical mechanics. Among other theoretical achievements, he developed (i) the connection of kappa distributions with non-extensive statistical mechanics, (ii) the formula of entropy that is related to the kappa distributions, (iii) the generalization of kappa distribution to describe the whole Hamiltonian of particles, the kinetic and potential energy, (iv) the different types of consistent formulae of kappa distributions, (v) the shock Rankine–Hugoniot conditions for kappa distributions. Among other applications, he used kappa distributions to describe the proton populations in many space plasmas in the heliosphere and the heliosheath.

Part 1. Theory and Formalism1. Statistical Background of Kappa Distributions: Connection With Nonextensive Statistical Mechanics - George Livadiotis2. Entropy Associated With Kappa Distributions - George Livadiotis3. Phase Space Kappa Distributions With Potential Energy - George Livadiotis4. Formulae of Kappa Distributions: Toolbox - George Livadiotis

Part 2. Plasma Physics5. Basic Plasma Parameters Described by Kappa Distributions - George Livadiotis6. Superstatistics: Superposition of Maxwell–Boltzmann Distributions - Christian Beck & E.G.D. Cohen7. Linear Kinetic Waves in Plasmas Described by Kappa Distributions - Adolfo Figueroa-Viñas, Rudi Gaelzer, Pablo S. Moya, R. Mace, J.A. Araneda8. Nonlinear Wave–Particle Interaction and Electron Kappa Distribution - Peter H. Yoon & George Livadiotis9. Solitary Waves in Plasmas Described by Kappa Distributions - G.S. Lakhina & Satyavir Singh

Part 3. Applications in Space Plasmas10. Ion Distributions in Space Plasmas - George Livadiotis & David J. McComas11. Electron Distributions in Space Plasmas - Viviane Pierrard & Nicole Meyer-Vernet12. The Kappa-Shaped Particle Spectra in Planetary Magnetospheres - Konstantinos Dialynas, Chris P. Parnicas, James F. Carbary, M. Kane, Stamatios M. Krimigis, Barry H. Mauk13. Kappa Distributions and the Solar Spectra: Theory and Observations - Elena Dzifáková & Jaroslav Dudik14. Importance of Kappa Distributions to Solar Radio Bursts - Iver H. Cairns, Bo Li, Joachi Schmidt15. Common Spectrum of Particles Accelerated in the Heliosphere: Observations and a Mechanism - Lennard Fisk & George Gloeckler16. Formation of Kappa Distributions at Quasiperpendicular Shock Waves - Gary Zank17. Electron Kappa Distributions in Astrophysical Nebulae - D.C. Nicholls, M. A. Dopita, R.S. Sutherland, L.J. Kewley