Do you want to include the gate weave? How do you get gate weave in a RED camera? That guy needs a better tripod.
Anyway. You could use particular to have particles shoot outward and turbulence to give them some windy trails – then have the aux system in particular fill the in the trails. The lead particles will only ever be dots or sprites or small single “brushes” but the aux system lets each lead particle spawn a trail of secondary particles in its wake to make the “stroke”. Its going to take quite a few to fill that in solid but you could follow up with an expanding mask of fractal noise that just fills things in so you don’t have to use a gazillion particles.
You can do this whole thing with just a couple of fractal noise masks that expand and evolve – its kind of: a soft circle mask, masking a fractal noise which in turn masks another fractal noise (its the same as deathstar explosion with the radiating ring in the doctored version of episode IV – it looks like fingers of flame licking out from the leading edge but it’s just moving fractal noise). Its tricky to get all the bits expanding and evolving at the right rate but you can get pretty close to that stock clip with just noise and masking.