Scaling laws in chiral hydrodynamic turbulence

Understand

We study the turbulent regime of chiral (magneto)hydrodynamics for charged and neutral matter with chirality imbalance.

• We find that the chiral magnetohydrodynamics for charged plasmas possesses a unique scaling symmetry, only without fluid helicity under the local charge neutrality.
• We also find a different type of unique scaling symmetry in the chiral hydrodynamics for neutral matter with fluid helicity in the inertial range.
• We show that these symmetries dictate the self-similar inverse cascade of the magnetic and kinetic energies.