Quantum turbulence

The turbulent flow of ordinary fluids is so common that we hardly stop to wonder at it. Yet it is a remarkable and beautiful phenomenon, portrayed in insightful drawings by Leonardo da Vinci such as those shown in figure 1. Turbulence is of enormous importance in fields ranging from meteorology to aerospace engineering and stellar evolution. Understanding turbulence presents us with some of the most challenging problems in classical nonlinear dynamics (see figure 2).