Turbulent fluctuation and transport of passive scalars by random wave fields

Turbulent transport of passive scalars by random wave fields is studied, wi th applications to statistics of chlorophyll concentration in the ocean. Th e existence of the small parameter mu(0)/c(0), where u(0) and co are the ch aracteristic particle velocity and wave phase speed, respectively, allows e ssentially exact calculations, and as such provides a rich testing ground f or quantitative comparisons between theory and observation. General express ions are derived for the diffusion constant and mean drift velocity. It is shown that the spectrum of passive scalar fluctuations displays at least tw o distinct inertial range power laws even when the wave velocity field has only one.