Kappa Distributions: Theory And Applications In Plasmas

Paperback | March 1, 2017

byGeorge Livadiotis

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Kappa Distributions: Theory and Applications in Plasmas presents the theoretical developments of kappa distributions, their applications in space plasmas, and how they affect the underpinnings of our understanding of space and plasma physics, astrophysics, and statistical mechanics--thermodynamics. As such, this book is ideal for geophysicists, especially those interested in space and planetary science, particularly space plasma and upper earth atmosphere. The book is separated into three major parts, theoretical methods, analytical methods in plasmas, and applications in space plasmas. The first part of the book focuses on basic aspects of the theory of kappa distributions, beginning with the connection of kappa distributions with solid statistical backgrounds, hence the non-extensive statistical mechanics. The book then moves on to plasma physics, and is devoted to analytical methods related to kappa distributions on various basic plasma topics, spanning linear/nonlinear plasma waves, solitons, shockwaves, and dusty plasmas. The final part of the book deals with applications in space plasmas, focusing on applications of theoretical and analytical developments in space plasmas from the heliosphere and beyond. Answers important questions, such as how plasma waves are affected by kappa distributions and how solar wind, and planetary/cometary magnetospheres can be modeled using kappa distributions Presents the features of kappa distributions in the context of space plasmas, including how kappa indices, temperatures, and densities vary among the various species populations in different space plasmas Provides readers with the information they need to decide which specific formula of kappa distribution should be used for a certain occasion and system

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Kappa Distributions: Theory and Applications in Plasmas presents the theoretical developments of kappa distributions, their applications in space plasmas, and how they affect the underpinnings of our understanding of space and plasma physics, astrophysics, and statistical mechanics--thermodynamics. As such, this book is ideal for geoph...

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-exte...
Format:PaperbackDimensions:330 pages, 8.75 × 6.35 × 0.68 inPublished:March 1, 2017Publisher:Elsevier Science & TechLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0128046384

ISBN - 13:9780128046388

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Table of Contents

PART A: Theory and Formalism 1. Statistical background of kappa distributions 2. Entropy associated with kappa distributions 3. Phase space kappa distributions with potential energy 4. Formulae of kappa distributions - Toolbox

PART B: Plasma Physics 5. Basic parameters in plasmas described by kappa distributions 6. Superstatistics: Superposition of Maxwell-Boltzmann distributions 7. Linear kinetic plasma waves in plasmas described by kappa distributions 8. Nonlinear wave-particle interaction and electron kappa distributions 9. Solitary waves in plasmas described by kappa distributions

PART C: Applications in Space Plasmas 10. Ion distributions in space plasmas 11. Electron distributions in space plasmas 12. The "kappa-shaped" particle spectra in planetary magnetospheres 13. Kappa-distributions and the solar spectra - theory and observations 14. Importance of kappa distributions to solar radio bursts 15. Common spectrum of particles accelerated in the heliosphere: Observations and a mechanism 16. Formation of a kappa distribution at quasi-perpendicular shock waves 17. Electron kappa distributions in astrophysical nebulae