Observation of anomalous diffusion and Lévy flights in a two-dimensional rotating flow

by: TH Solomon, Eric R Weeks, Harry L Swinney

Physical Review Letters, Vol. 71, No. 24. (13 December 1993), 3975.

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Abstract

Chaotic transport in a laminar fluid flow in a rotating annulus is studied experimentally by tracking large numbers of tracer particles for long times. Sticking and unsticking of particles to remnants of invariant surfaces (Cantori) around vortices results in superdiffusion: The variance of the displacement grows with time as t δ with γ=1.65±0.15. Sticking and flight time probability distribution functions exhibit power-law decays with exponents 1.6±0.3 and 2.3±0.2; respectively. The exponents are consistent with theoretical predictions relating Lévy flights and anomalous diffusion.

@article{citeulike:1676561, abstract = {Chaotic transport in a laminar fluid flow in a rotating annulus is studied experimentally by tracking large numbers of tracer particles for long times. Sticking and unsticking of particles to remnants of invariant surfaces (Cantori) around vortices results in superdiffusion: The variance of the displacement grows with time as t δ with γ=1.65±0.15. Sticking and flight time probability distribution functions exhibit power-law decays with exponents 1.6±0.3 and 2.3±0.2; respectively. The exponents are consistent with theoretical predictions relating L\'{e}vy flights and anomalous diffusion.}, author = {Solomon, T. H. and Weeks, Eric R. and Swinney, Harry L. }, citeulike-article-id = {1676561}, doi = {10.1103/PhysRevLett.71.3975}, journal = {Physical Review Letters}, keywords = {anomalous-diffusion, fluid-mechanics, geostrophic, levy-flights}, month = {December}, number = {24}, pages = {3975+}, posted-at = {2007-09-19 17:39:59}, priority = {0}, publisher = {American Physical Society}, title = {Observation of anomalous diffusion and L\évy flights in a two-dimensional rotating flow}, url = {http://dx.doi.org/10.1103/PhysRevLett.71.3975}, volume = {71}, year = {1993} }

RIS record

TY - JOUR ID - citeulike:1676561 L3 - citeulike-article-id:1676561 TI - Observation of anomalous diffusion and Lévy flights in a two-dimensional rotating flow JF - Physical Review Letters VL - 71 IS - 24 SP - 3975 PB - American Physical Society N2 - Chaotic transport in a laminar fluid flow in a rotating annulus is studied experimentally by tracking large numbers of tracer particles for long times. Sticking and unsticking of particles to remnants of invariant surfaces (Cantori) around vortices results in superdiffusion: The variance of the displacement grows with time as t δ with γ=1.65±0.15. Sticking and flight time probability distribution functions exhibit power-law decays with exponents 1.6±0.3 and 2.3±0.2; respectively. The exponents are consistent with theoretical predictions relating Lévy flights and anomalous diffusion. KW - anomalous-diffusion KW - fluid-mechanics KW - geostrophic KW - levy-flights AU - Solomon, TH AU - Weeks, Eric AU - Swinney, Harry PY - 1993/12/13/ UR - http://dx.doi.org/10.1103/PhysRevLett.71.3975 ER -

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