Spontaneous breaking of local mirror symmetry in superfluid and in BEC turbulence

Abstract

There exist inherent mechanisms of spontaneous breaking of local mirror symmetry (parity) in fluid turbulence. A good example is Kerr's mechanism based on the inviscid vortex interactions. Such interactions can result in the appearance of the local adjacent regions with strong oppositely signed helicity, while the global (net) helicity still remains zero due to the global mirror symmetry. It is shown, using results of direct numerical simulations and laboratory measurements, that the spontaneous breaking of local mirror symmetry can dominate turbulent dynamics in the superfluid helium II and in the Bose-Einstein condensate turbulence. The notion of helical distributed chaos has been used for this purpose.