Purely helical absolute equilibria and chirality of (magneto)fluid turbulence

Abstract

Left- and right-handed helical modes' statistical absolute equilibria appear \textit{separately}. If both chiral sectors present, one can dominate around its positive pole, which is relevant to the nearly maximally helical (force free for magnetic field) states of turbulence. Pure magnetodynamics (PMD, or electron magnetohydrodynamics --- EMHD), pure hydrodynamics (PHD), and, single-fluid and two-fluid MHDs are studied. Relevant documented data and issues of cascade properties, and, helical and nonhelical dynamos are revisited. We also discuss new scenarios, such as PMD inverse magnetic helicity and forward energy cascades, and, the continuous transition from completely-inverse to partly-inverse-and-partly-forward and to completely-forward energy transfers in PHD.

the version before the proof of the final publication which has slight different wording, numeration of the equations and more references,published in J. Fluid Mech. (2013)

References in corpus (5)

• Hyperviscosity, Galerkin truncation and bottlenecks in turbulence
• Colloquium: Theory of Drag Reduction by Polymers in Wall Bounded Turbulence
• Wave turbulence in incompressible Hall MHD
• Magnetic Helicity Conservation and Inverse Energy Cascade in Electron Magnetohydrodynamic Wave Packets
• Gyrokinetic statistical absolute equilibrium and turbulence

Cited by in corpus (14)

• Cascades and transitions in turbulent flows
• Waves and vortices in the inverse cascade regime of stratified turbulence with or without rotation
• Restricted Equilibrium and the Energy Cascade in Rotating and Stratified Flows
• Helical mode interactions and spectral transfer processes in magnetohydrodynamic turbulence
• On the structure and statistical theory of turbulence of extended magnetohydrodynamics
• Helical Fluid and (Hall)-MHD Turbulence: a Brief Review
• Isotropic polarization of compressible flows
• Compressible helical turbulence: Fastened-structure geometry and statistics
• Nonlinear energy transfers and phase diagrams for geostrophically balanced rotating--stratified flows
• Direction of cascades in a magnetofluid model with electron skin depth and ion sound Larmor radius scales
• Four-thirds law of energy and magnetic helicity in electron and Hall magnetohydrodynamic fluids
• Local invariants in non-ideal flows of neutral fluids and two-fluid plasmas
• Chirality, extended MHD statistics and solar wind turbulence
• Note on specific chiral ensembles of statistical hydrodynamics: "order function" for transition of turbulence transfer scenarios