For Accuracy…
I was doing some research and ran across a post on the Pathfinders forums that mentioned there should be thin wires on the outer barrel, around the heat fins…

I picked up some black, 18 gauge floral wire…

I then wrapped the wire around the barrel. In the files I used, the heat fins have little notches where wire is supposed to go. This is the short section…

And, here is the long section…

This is a detail shot of how I just made a simple connection at the bottom of the barrel…