FORCE-FREE MAGNETIC FIELDS: SOLUTIONS, TOPOLOGY AND APPLICATIONS (SECOND EDITION)

After an introductory chapter concerned with the history of force-free magnetic fields, and the relation of such fields to hydrodynamics and astrophysics, the book examines the limits imposed by the virial theorem for finite force-free configurations. Various techniques are then used to find solutions to the field equations. The fact that the field lines corresponding to these solutions have the common feature of being twisted, and may be knotted, motivates a discussion of field-line topology and concept of helicity. The topics of field topology, helicity, and magnetic energy in multiply connected domains make the book of interest to a wide audience. Applications to solar prominence models, type-II superconductors, and force-reduced magnets are also discussed.On top of rectifying errors found in the original edition, this second edition includes new chapters on: "Force-Free Magnetic Field Solution in Toroidal Coordinates", "Force-Free Magnetic Field in Cyclidal Coordinates", and "The Chiral Anomaly, Dirac and Weyl semimetals, and Force-Free Magnetic Fields".