2004/01/11 by A. M. Balk. G. Falkovich, Falkovich, A. M. Balk. G., M. S. Stepanov +1
Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #nlin.CD
paper · pdf · doi:10.48550/arxiv.nlin/0401012
4 pages, 1 figure
arxiv created 2004/01/11 · arxiv updated 2009/12/01
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.