  Microrheology experiments show that viscoelastic media composed by wormlike
micellar networks display complex relaxations lasting seconds even at the scale
of micrometers. By mapping a model of patchy colloids with suitable mesoscopic
elementary motifs to a system of worm-like micelles, we are able to simulate
its relaxation dynamics, upon a thermal quench, spanning many decades, from
microseconds up to tens of seconds. After mapping the model to real units and
to experimental scission energies, we show that the relaxation process develops
through a sequence of non-local and energetically challenging arrangements.
These adjustments remove undesired structures formed as a temporary energetic
solution for stabilizing the thermodynamically unstable free caps of the
network. We claim that the observed scale-free nature of this stagnant process
may complicate the correct quantification of experimentally relevant time
scales as the Weissenberg number.
