Scaling laws in chiral hydrodynamic turbulence

TL;DR

This paper investigates the scaling laws of chiral hydrodynamic turbulence, revealing unique symmetries that govern inverse energy cascades, with implications for astrophysical phenomena like supernovae.

Contribution

It identifies new scaling symmetries in chiral magnetohydrodynamics and neutral chiral hydrodynamics, elucidating their role in inverse energy cascades.

Findings

Chiral MHD exhibits a unique scaling symmetry without fluid helicity.

Neutral chiral hydrodynamics shows a different scaling symmetry with fluid helicity.

Inverse cascade of magnetic and kinetic energies is governed by these symmetries.

Abstract

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. Our results imply the possible inverse energy cascade in core-collapse supernovae due to the chiral transport of neutrinos.