192 citations · 748 across the 25 of their papers we have counts for
5 papers · 1 filter
Calculations for the Practical Applications of Quadratic Helicity in MHD
Petr M. Akhmet'ev, Simon Candelaresi, Alexandr Yu Smirnov
For the quadratic helicity we present a generalization of the Arnol'd inequality which relates the magnetic energy to the quadratic helicity, which poses a lower bound. W…
Quantifying the Tangling of Trajectories Using the Topological Entropy
Simon Candelaresi, David Ian Pontin, Gunnar Hornig
We present a simple method to efficiently compute a lower limit of the topological entropy and its spatial distribution for two-dimensional mappings. These mappings could represent…
Ideal Relaxation of the Hopf Fibration
Christopher Berg Smiet, Simon Candelaresi, Dirk Bouwmeester
Ideal MHD relaxation is the topology-conserving reconfiguration of a magnetic field into a lower energy state where the net force is zero. This is achieved by modeling the plasma a…
Braided magnetic fields: equilibria, relaxation and heating
D. I. Pontin, S. Candelaresi, A. J. B. Russell +1
We examine the dynamics of magnetic flux tubes containing non-trivial field line braiding (or linkage), using mathematical and computational modelling, in the context of testable p…
Self-organizing Knotted Magnetic Structures in Plasma
C. B. Smiet, S. Candelaresi, A. Thompson +3
We perform full-MHD simulations on various initially helical configurations and show that they reconfigure into a state where the magnetic field lines span nested toroidal surfaces…