A lot of the look comes from the sheer amount of tiny particles. Krakatoa uses a concept they call partitioning to render particles over and over again with slightly different positions. You can do the same in houdini with wedging by randomly varying a seed value in your particle sim for each time the wedge is run. This lets you design one sim, then run a bunch of wedges (like partitions in krakatoa) instead of directly simulating potentially millions and millions of particles all in one go. If you want more detail, simply add more wedges! You can then load all the wedges at rendertime and get a very similar result. A couple of things that can help push the look are both tweaking the Alpha attribute of your particles, and adding a volume around it to help fill in the space.