Conformal solutions of duality-invariant 2d magnetohydrodynamic turbulence
Department of Physics,
Queen Mary and Westfield College, Mile End Road, London E1 4NS, UK
2 Department of Physics, Royal Holloway and Bedford New College, Egham, Surrey TW20 0EX, UK
Accepted: 24 June 1996
We consider possible conformal field theory (CFT) descriptions of the various inertial ranges that exist in 2d duality-invariant magnetohydrodynamics. Such models arise as effective theories of dyonic plasmas in 3 dimensions in which all fields are independent of the third coordinate. We find new constraints on the allowed CFTs compared to those that may describe turbulence in 2d plasmas of electric charges only. The predictions from CFT concerning equipartition of energy amongst the electric and magnetic fields are discussed, and quantities exhibiting universal scaling are derived.
PACS: 52.30.-q – Plasma flow; magnetohydrodynamics / 11.10.-z – Field theory / 47.27.Gs – Isotropic turbulence; homogeneous turbulence
© EDP Sciences, 1996