Knots in plasma

Leiden Repository

Knots in plasma

Type: Doctoral Thesis
Title: Knots in plasma
Author: Smiet, C.B.
Journal Title: Casimir PhD Series
Issue Date: 2017-06-20
Keywords: Helicity
Magnetic reconnection
Magnetic topology
Abstract: A plasma is an ionized gas with very low electrical resistivity. As such, magnetic field lines are 'frozen in' and move with the fluid. Magnetic field lines that are linked, knotted and tangled, cannot be undone by the fluid motions. In this thesis we investigate how this linking and knottedness influences the plasma dynamics through numerical simulations. One of the main results is the identification of a novel, self-organizing equilibrium, where every field line is linked with every other one. In such a structure all the field lines lie on toroidal magnetic surfaces, and the entire structure resembles the famous topological structure of the Hopf fibration. This magnetic equilibrium is localized, and kept in balance by a finite external pressure. Through resistive effects the structure slowly expands while the magnetic energy is dissipated. This research, and the novel structures identified have implications for nuclear fusion research and the study of astrophysical plasma phenomena.
Promotor: Supervisor: D. Bouwmeester
Faculty: Science
University: Leiden
Uri: urn:isbn:9789085932994

Files in this item

Description Size View
application/pdf Cover 3.034Mb View/Open
application/pdf Full text 31.64Mb Under embargo until 2018-06-20
application/pdf Title page_Contents 558.4Kb View/Open
application/pdf Chapter 1 Introduction 4.822Mb View/Open
application/pdf Chapter 2 19.43Mb View/Open Full text at publisher site
application/pdf Chapter 3 1.180Mb View/Open
application/pdf Chapter 4 4.091Mb View/Open Full text at publisher site
application/pdf Chapter 5 4.372Mb Under embargo until 2018-06-20
application/pdf Bibliography 675.5Kb View/Open
application/pdf Summary in Dutch 413.4Kb View/Open
application/pdf List of pubblic ... lum Vitae_Acknowledgements 489.3Kb View/Open
application/pdf Propositions 200.8Kb View/Open

This item appears in the following Collection(s)