The question of whether anomalous, i.e. CP-odd effects, in QCD have been observed in relativistic heavy-ion collisions is a topic of current theoretical and experimental interest. Its solution requires a deeper understanding of how CP-odd domains with chiral imbalance n5, if formed in the collision center, evolve in real-time.
Here we present recent results  on a new class of plasma instabilities so called chiral instabilities that may play a key role in the presence of finite n5. We investigate their existence and dynamics in non-Abelian SU(2) gauge theory implemented via a Langevin-like anomalous effective field theory  on the lattice. n5 enters as a dynamical degree of freedom, driven by changes in topology.
We find that fluctuations in the gauge fields indeed initiate a rapid energy transfer into the magnetic degrees of freedom, while depleting the chiral imbalance. At the same time the topological charge, as helicity is conserved, shows a clear drift among vacuum sectors proportional to the initial n5, as well as a significantly enhanced diffusion constant, i.e. sphaleron rate.
 Y.Akamatsu, A.R., N.Yamamoto, JHEP 1603 (2016) 210
 Y.Akamatsu, N.Yamamoto, Phys.Rev. D90 (2014) 125031