Statistics
Scientific paper
Dec 2006
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006agufmsh23a0343r&link_type=abstract
American Geophysical Union, Fall Meeting 2006, abstract #SH23A-0343
Statistics
0659 Random Media And Rough Surfaces, 3265 Stochastic Processes (3235, 4468, 4475, 7857), 7857 Stochastic Phenomena (3235, 3265, 4475), 7863 Turbulence (4490), 7867 Wave/Particle Interactions (2483, 6984)
Scientific paper
Stochastic growth theory (SGT) of bursty waves is generalized and it is shown that the theory of "elementary bursts," previously used to describe irregular emission in solar microwave spike bursts, is a limiting case of the generalized theory. New regimes of strong and weak stochastic growth are found and a reduced-parameter quasilinear model is used to constrain growth dynamics. The analytic results are then compared with simulations using the reduced-parameter model. Upon reanalysis of data from situations previously studied using SGT or other theories, including solar, interplanetary, and magnetospheric spacecraft data, pulsar observations, and results of particle-in-cell and quasilinear simulations, good agreement is found with the predictions of the generalized theory. In particular,data collapse of stochastic wave statistics is seen onto a universal lognormal curve with no free parameters.
Cairns Iver H.
Li Baowen
Robinson Adam P.
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