title: Power spectrum of passive scalars in two dimensional chaotic flows.
abstract: In this paper the power spectrum of passive scalars transported in two dimensional chaotic fluid flows is studied theoretically. Using a wave-packet method introduced by Antonsen et al., several model flows are investigated, and the fact that the power spectrum has the k(-1)-scaling predicted by Batchelor is confirmed. It is also observed that increased intermittency of the stretching tends to make the roll-off of the power spectrum at the high k end of the k(-1) scaling range more gradual. These results are discussed in light of recent experiments where a k(-1) scaling range was not observed. (c) 2000 American Institute of Physics.
authors.affiliation: Department of Mathematics and Institute for Physical Science and Technology, University of Maryland, College Park, Maryland 20742.
authors.forename: Guo-Cheng
authors.initials: GC
authors.lastname: Yuan
authors.forename: Keeyeol
authors.initials: K
authors.lastname: Nam
authors.forename: Thomas M.
authors.initials: TM
authors.lastname: Antonsen
authors.forename: Edward
authors.initials: E
authors.lastname: Ott
authors.forename: Parvez N.
authors.initials: PN
authors.lastname: Guzdar