Levy flights and anomalous diffusion in the stratosphere
Kyong-Hwan Seo and Kenneth P. Bowman
J. Geophy. Res., 105, pp. 12,295-12,302
ABSTRACT
Chaotic transport in the Northern Hemisphere stratosphere is studied with an
isentropic
Lagrangian transport model. Ensemble statistics of trajectories are computed for
2-month periods in the winters of 1992 to 1997 by using United Kingdom
Meteorological Office assimilated winds. In the midlatitudes, quasi-stationary
anticyclones combine with the jet to produce flying and trapping events of
particle trajectories. The flight time probability density functions (PDFs) are
described by power laws with a decay exponent of less than 3, which indicates that
the trajectories can be characterized as Levy flights (random walk processes with
divergent second moment). These flight and trapping events lead to superdiffusive
zonal dispersion. The relationship between the power law decay exponents and the
zonal mean and variance exponents is consistent with an analytical derivation.
The scaled PDFs of zonal displacement converge to a self-similar limiting
distribution, suggesting the existence of a scale-invariant regime. The skewness
and kurtosis of the PDFs also converge to con
stant values after about 40 days, which supports the self-similarity behavior in
Lagrangian trajectories.
Member publication : 2000
Member publication
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