© 2018

Theory of One-Dimensional Vlasov-Maxwell Equilibria

With Applications to Collisionless Current Sheets and Flux Tubes


Part of the Springer Theses book series (Springer Theses)

Table of contents

  1. Front Matter
    Pages i-xx
  2. Oliver Allanson
    Pages 1-40
  3. Oliver Allanson
    Pages 113-136
  4. Oliver Allanson
    Pages 137-180
  5. Oliver Allanson
    Pages 181-191
  6. Back Matter
    Pages 193-195

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. 


Theory of plasma Kinetic Theory Vlasov Equilibrium Vlasov Equation Current Sheet Flux Tube Harris Sheet Gold Hoyle Magnetic Reconnection Vlasov Maxwell Equilibria Collisionless plasma equilibrium

Authors and affiliations

  1. 1.Department of MeteorologyUniversity of ReadingReadingUnited Kingdom

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.  


Bibliographic information

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