title: Solar flares as cascades of reconnecting magnetic loops.
abstract: A model for the solar coronal magnetic field is proposed where multiple directed loops evolve in space and time. Loops injected at small scales are anchored by footpoints of opposite polarity moving randomly on a surface. Nearby footpoints of the same polarity aggregate, and loops can reconnect when they collide. This may trigger a cascade of further reconnection, representing a solar flare. Numerical simulations show that a power law distribution of flare energies emerges, associated with a scale-free network of loops, indicating self-organized criticality.
authors.affiliation: Department of Mathematics, Imperial College of Science, Technology, and Medicine, London, SW7 2BZ, United Kingdom.
authors.forename: D
authors.initials: D
authors.lastname: Hughes
authors.forename: M
authors.initials: M
authors.lastname: Paczuski
authors.forename: R O
authors.initials: RO
authors.lastname: Dendy
authors.forename: P
authors.initials: P
authors.lastname: Helander
authors.forename: K G
authors.initials: KG
authors.lastname: McClements