Plasma is a gas in which electrons are stripped from atoms and roam freely. Sometimes, regions where electrons are almost absent spontaneously appear in such a gas; they are called holes. It is like a whirlpool forming in a stream, pulling everything around it in. But exactly how such a whirlpool is born has long remained a mystery.

Until now, physicists could only describe two states: before the hole appears and after. Initially, particles move smoothly, like water in a wide river. Then something changes, and some electrons get trapped, like leaves caught in a whirlpool. But the very moment of transition between these states remained a blank spot. It is as if there is no step between a calm river and a raging waterfall, yet the water somehow crosses it.

The authors of the new study offer a way to bridge this gap. They use a mathematical technique that stitches together two different descriptions at the boundary where the hole is born. It turns out that accounting for pairwise particle collisions is key here, as if in a whirlpool, it is not only the motion of the entire water mass that matters, but also how individual droplets collide.

This approach not only fills a theoretical gap. It helps predict which holes will survive the transition period and how they will move. This matters both for understanding space plasma and for laboratory setups where plasma is confined by magnetic fields.