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Theory of One-Dimensional Vlasov-Maxwell Equilibria

With Applications to Collisionless Current Sheets and Flux Tubes

  • Book
  • © 2018

Overview

Authors:
  1. Oliver Allanson

    1. Department of Meteorology, University of Reading, Reading, United Kingdom

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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

Part of the book series: Springer Theses (Springer Theses)

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-xx
    Download chapter PDF

  2. Introduction

    • Oliver Allanson
    Pages 1-40

  3. The Use of Hermite Polynomials for the Inverse Problem in One-Dimensional Vlasov-Maxwell Equilibria

    • Oliver Allanson
    Pages 41-67

  4. One-Dimensional Nonlinear Force-Free Current Sheets

    • Oliver Allanson
    Pages 69-112

  5. One-Dimensional Asymmetric Current Sheets

    • Oliver Allanson
    Pages 113-136

  6. Neutral and Non-neutral Flux Tube Equilibria

    • Oliver Allanson
    Pages 137-180

  7. Discussion

    • Oliver Allanson
    Pages 181-191

  8. Back Matter

    Pages 193-195
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Keywords

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.   

Authors and Affiliations

  • Department of Meteorology, University of Reading, Reading, United Kingdom

    Oliver Allanson

About the author

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.  

 

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