title: Anomalous self-similarity in a turbulent rapidly rotating fluid.
abstract: Our velocity measurements on quasi-two-dimensional turbulent flow in a rapidly rotating annulus yield self-similar (scale-independent) probability distribution functions for longitudinal velocity differences, deltav(l) = v(x+l)-v(x). These distribution functions are strongly non-Gaussian, suggesting that the coherent vortices play a significant role. The structure functions <[deltav(l)](p)> approximately l(zeta)p exhibit anomalous scaling: zeta(p) = p / 2 rather than the expected zeta(p) = p / 3. Correspondingly, the energy spectrum is described by E(k) approximately k(-2) rather than the expected E(k) approximately k(-5/3).
authors.affiliation: Center for Nonlinear Dynamics and Department of Physics, The University of Texas at Austin, Austin, Texas 78712, USA.
authors.forename: Charles N
authors.initials: CN
authors.lastname: Baroud
authors.forename: Brendan B
authors.initials: BB
authors.lastname: Plapp
authors.forename: Zhen-Su
authors.initials: ZS
authors.lastname: She
authors.forename: Harry L
authors.initials: HL
authors.lastname: Swinney