A measure of the twist or handedness of magnetic field lines, affecting turbulence dynamics.Helicity is a measure of the twist or handedness of magnetic field lines, quantifying the extent to which the field wraps around itself. In magnetohydrodynamics, it plays a crucial role in turbulence dynamics, influencing energy transfer between scales and the generation of large-scale magnetic fields. Helicity is conserved in ideal conditions, making it a key invariant that shapes the evolution of cosmic plasmas, from solar flares to interstellar clouds.
The concept of magnetic helicity was introduced by Lodewijk Woltjer in 1958, who showed it is conserved in ideal magnetohydrodynamics. Its role in turbulence was later developed by Uriel Frisch and collaborators in the 1970s.
Mathematically, magnetic helicity is defined as the volume integral of the dot product of the vector potential and the magnetic field. It measures the linkage and knottedness of magnetic field lines. In turbulent plasmas, helicity tends to cascade to larger scales (inverse cascade), while energy cascades to smaller scales. This selective decay leads to the formation of coherent, large-scale magnetic structures.
Helicity is used in solar physics to predict the twist of coronal loops and the likelihood of solar eruptions. It also informs models of the solar dynamo and the generation of galactic magnetic fields.
The Sun's magnetic field has a net helicity that changes sign across the solar equator, a pattern that reflects the underlying dynamo process.










