Growth of density inhomogeneities in a flow of wave turbulence
We consider an advection of a passive scalar by a flow which is a superposition of random waves. We find that such a flow can lead to an exponential growth of the passive scalar fluctuations. We calculate the growth rate at the fourth order in wave amplitudes and find it non-zero when either both solenoidal and potential components are present in the flow or there are potential waves with the same frequencies but different wavenumbers.
nlin.CD↗