Non reciprocal phase transitions

The interaction between a peregrine falcon and a dove is visibly non-reciprocal. What happens to the well established framework of phase transitions in non-reciprocal systems far from equilibrium? In this talk, I will answer this question by looking at three archetypal classes of self-organization out of equilibrium: synchronization, flocking and pattern formation. Simple demonstrations with robots will be presented along with naturally occurring phenomena from various domains of science that share a common feature: reciprocity has no reason to exist. In all these cases, the emergence of unique time-dependent many-body phases can be captured by combining insights from non-Hermitian quantum mechanics and bifurcation theory. This approach is a step towards a general theory of critical phenomena in systems whose dynamics is not governed by a global optimization principle.

Event resources