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Article Dans Une Revue Physical Review E : Statistical, Nonlinear, and Soft Matter Physics Année : 2014

Mixing properties in the advection of passive tracers via recurrences and extreme value theory

Résumé

In this paper we characterize the mixing properties in the advection of passive tracers by exploiting the extreme value theory for dynamical systems. With respect to classical techniques directly related to the Poincaré recurrences analysis, our method provides reliable estimations of the characteristic mixing times and distinguishes between barriers and unstable fixed points. The method is based on a check of convergence for extreme value laws on finite datasets. We define the mixing times in terms of the shortest time intervals such that extremes converge to the asymptotic (known) parameters of the Generalized Extreme Value distribution model. Our technique is suitable for applications in the analysis of other systems where mixing time scales need to be determined and limited datasets are available.
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Dates et versions

hal-01126730 , version 1 (06-03-2015)

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Davide Faranda, Xavier Leoncini, Sandro Vaienti. Mixing properties in the advection of passive tracers via recurrences and extreme value theory. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2014, 90, pp.019902. ⟨10.1103/PhysRevE.89.052901⟩. ⟨hal-01126730⟩
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