  Localized contractile configurations or asters spontaneously appear and
disappear as emergent structures in the collective stochastic dynamics of
active polar actomyosin filaments. Passive parti- cles which (un)bind to the
active filaments get advected into the asters, forming transient clusters. We
study the phase segregation of such passive advective scalars in a medium of
dynamic asters, as a function of the aster density and the ratio of the rates
of aster remodeling to particle diffusion. The dynamics of coarsening shows
strong violation of Porod behaviour, suggesting diffuse interfaces. The phase
segregated steady state shows strongly fluctuations characterized by
multiscaling and in- termittency. We expect these unique nonequilibrium
features to manifest in the actin-dependent molecular clustering at the cell
surface.
