Springer Theses

Theory of One-Dimensional Vlasov-Maxwell Equilibria

With Applications to Collisionless Current Sheets and Flux Tubes

Authors: Allanson, Oliver

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  • Nominated as an outstanding Ph.D thesis by the University of St Andrews, St Andrews, UK
  • Presents a pedagogical approach to the subject matter that is as self-contained as possible
  • Covers specialist topics presented within the context of both historical and modern-day plasma physics research 
  • Highlights new fundamental work on Vlasov–Maxwell equilibria, of potential interest to mathematicians and physicists alike
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eBook $109.00
price for USA in USD (gross)
  • ISBN 978-3-319-97541-2
  • Digitally watermarked, DRM-free
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  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.99
price for USA in USD
  • ISBN 978-3-319-97540-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

This book describes and contextualises collisionless plasma theory, and in particular collisionless plasma equilibria. The Vlasov–Maxwell theory of collisionless plasmas is an increasingly important tool for modern plasma physics research: our ability to sustain plasma in a steady-state, and to mitigate instabilities, determines the success of thermonuclear fusion power plants on Earth; and our understanding of plasma aids in the prediction and mitigation of Space Weather effects on terrestrial environments and satellites. Further afield, magnetic reconnection is a ubiquitous energy release mechanism throughout the Universe, and modern satellites are now able to make in-situ measurements with kinetic scale resolution.

To keep pace with these challenges and technological developments, a modern scientific discussion of plasma physics must enhance, and exploit, its ‘literacy’ in kinetic theory. For example, accurate analytical calculations and computer simulations of kinetic instabilities are predicated on a knowledge of Vlasov–Maxwell equilibria as an initial condition. This book highlights new fundamental work on Vlasov–Maxwell equilibria, of potential interest to mathematicians and physicists alike. Possible applications involve two of the most significant magnetic structures known to confine plasma and store energy: current sheets and flux tubes.   

About the authors

Dr Oliver Allanson is a post-doctoral research associate working within the Department of Meteorology, University of Reading. Oliver is a space plasma physicist, and is a specialist in plasma kinetic theory. He graduated with a PhD in Applied Mathematics from the University of St Andrews in 2017; a MASt in Theoretical Physics from the Univeristy of Cambridge in 2013; and an MPhys in Theoretical Physics & Mathematics from the University of St Andrews in 2012.  

 

Table of contents (6 chapters)

Table of contents (6 chapters)

Buy this book

eBook $109.00
price for USA in USD (gross)
  • ISBN 978-3-319-97541-2
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.99
price for USA in USD
  • ISBN 978-3-319-97540-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Theory of One-Dimensional Vlasov-Maxwell Equilibria
Book Subtitle
With Applications to Collisionless Current Sheets and Flux Tubes
Authors
Series Title
Springer Theses
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-319-97541-2
DOI
10.1007/978-3-319-97541-2
Hardcover ISBN
978-3-319-97540-5
Series ISSN
2190-5053
Edition Number
1
Number of Pages
XX, 195
Number of Illustrations
17 b/w illustrations, 22 illustrations in colour
Topics