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Kappa Distributions : Theory and Applications in Plasmas - George Livadiotis

Kappa Distributions

Theory and Applications in Plasmas


Published: 21st April 2017
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Kappa Distributions: Theory and Applications in Plasmas presents the theoretical developments of kappa distributions, their applications in plasmas, and how they affect the underpinnings of our understanding of space and plasma physics, astrophysics, and statistical mechanics/thermodynamics. Separated into three major parts, the book covers theoretical methods, analytical methods in plasmas, and applications in space plasmas. The first part of the book focuses on basic aspects of the statistical theory of kappa distributions, beginning with their connection to the solid backgrounds of 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, in other astrophysical plasmas.

Kappa Distributions is ideal for space, plasma, and statistical physicists; geophysicists, especially of the upper atmosphere; Earth and planetary scientists; and astrophysicists.

  • Answers important questions, such as how plasma waves are affected by kappa distributions and how solar wind, magnetospheres, and other geophysical, space, and astrophysical plasmas can be modeled using kappa distributions
  • Presents the features of kappa distributions in the context of plasmas, including how kappa indices, temperatures, and densities vary among the species populations in different 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 (toolbox)

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

ISBN: 9780128046388
ISBN-10: 0128046384
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 738
Published: 21st April 2017
Publisher: Elsevier Science Publishing Co Inc
Country of Publication: US
Dimensions (cm): 23.5 x 19.2  x 3.4
Weight (kg): 1.49
Edition Number: 1