Chiral plasma instability and inverse cascade from nonequilibrium left-handed neutrinos in core-collapse supernovae

We show that the backreaction of left-handed neutrinos out equilibrium on matter sector induces an electric current proportional to a magnetic field even without chiral imbalance for electrons in core-collapse supernovae. derive transport coefficient this effect based recently formulated radiation theory neutrinos. This generates strong via so-called plasma instability, which could provide new mechanism and stable magnetars. also numerically study physical origin inverse cascade energy magnetohydrodynamics including current. Our results indicate incorporating effects would drastically modify hydrodynamic evolutions supernovae, may be relevant explosion dynamics.