Wired has an interesting article on the science of the spontaneous order of starling flocks, prompted by this amazing viral video:

There is no leader directing the flock. Each starling follows local rules, and order emerges on a global level.

Starling flocks, it turns out, are best described with equations of “critical transitions” — systems that are poised to tip, to be almost instantly and completely transformed, like metals becoming magnetized or liquid turning to gas. Each starling in a flock is connected to every other. When a flock turns in unison, it’s a phase transition.

At the individual level, the rules guiding this are relatively simple. When a neighbor moves, so do you. Depending on the flock’s size and speed and its members’ flight physiologies, the large-scale pattern changes. What’s complicated, or at least unknown, is how criticality is created and maintained.

It’s easy for a starling to turn when its neighbor turns — but what physiological mechanisms allow it to happen almost simultaneously in two birds separated by hundreds of feet and hundreds of other birds? That remains to be discovered, and the implications extend beyond birds. Starlings may simply be the most visible and beautiful example of a biological criticality that also seems to operate in proteins and neurons, hinting at universal principles yet to be understood.