Turbulence and Levy Flights

Experimental papers : 0. O. Cardoso, P. Tabeling, Anomalous diffusion in a linear system of vortices, Eur. J. Mech. B/Fluids, 8 (1989), pp. 459-470 1. T. Solomon, E. Weeks, H. Swinney, Observation of anomalous diffusion and Levy flights in a two dimensional rotating flow, Physical Review Letters, 71 (1993), pp. 3975 2. T. Solomon, E. Weeks, H. Swinney, Chaotic advection in a two-dimensional flow: Levy flights and anomalous diffusion, Physica D, 76 (1994), pp .70

(Goal: to explain what are `sticking' and 'flights' events)

(Goal: `sticking' and `flights' in larminar , chaotic , and turbulent flows)

(Indirect observation of Levy flights; self-similarity & stable distributions)

Turbulence and Levy Flights

Physics papers : 3. V.V. Beloshapkin, A.A. Cherinkov, M.Ya. Natenzon, B.A. Petrovichev, R.Z. Sagdeev, G.M. Zaslavsky, Chaotic streamlines in pre-turbulent states, Nature, 337 (1989), pp. 133 Mathematical modeling papers on Levy walk : 4. M.F. Shlesinger, B.J. West, J. Klafter, Levy dynamics of enhanced diffusion: Applica- tion to turbulence, Phys. Rev. Lett., 58 (1987), pp. 1100

(Goal: to understand the relation between `symmetry' , `stochastic web' , `Levy flights' and `preturbulent states' .)

(Goal: go from Levy walk model to mean square displacement.)