So, for the curious, I will start a little breakdown of the effect !
This is the flame alone. This is a simply texture with a dissolve effect. You can see how I proceed here : https://imgur.com/GqtcDXJ The rate of the spawning make all the effect !
Then, I add a flickered light in order to bring more life in the effect.
After that, I had embers, with some with random bursting effect to add more life and less repetition on the effect.
And finally, the smoke effect, with a dissolve shader as you can see on the first Gif. To had more depth on it, I colored the texture over the lifetime of the particle.