Lightning Growth

There are 25 particles randomly placed in a circle of radius 5, each assigned a random direction of motion. When the clock starts, these particles take off and bounce around the circle at the same constant speed.

Every second, lightning strikes at a random point in the circle. If a particle is within 0.5 units of the point, then it gets an offspring particle. This offspring takes off in a random direction and becomes a new member of the population.

Study the video of this process.

What kind of growth is this?

What kind of curve is being generated?