Making your particle fire glow

Turn on additive transparency under extended parameters at the parent level of the material

before and after

Make sure your noise is set to 1.0 amount and fractal. The factor you will play with is SIZE. Note – remember to make your opacity slot a radial gradient with noise [for an irregular opacity] WITHIN a radial gradient MASK to make sure we see no “face edges.”

Also, remember to preview the mat as a box so you can see what is going on with the noise effects.

Without – and with -- radial non-noise mask in opacity slot. You can see the edges in the first one.