Towards a Quantum Fluid Mechanical Theory of Turbulence

Recent studies of turbulencein superfluidHelium indicate that turbulencein quantum fluidsobeys a Kolmogorov scaling law. Such a law was previously attributed to classical solutions of the Navier-Stokes equationsof motion. It is suggested that turbulencein all fluids is due to quantum fluidmechanical effects. Employing a fieldtheoretical viewof the fluid flow velocity, vorticity appears as quantum filamentary strings. This in turn leads directly to the Kolmogorov critical indices for the case of fully developed turbulence.