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Author: Julio D. da Fonseca
Requested Type: Poster
Submitted: 2016-02-15 16:18:44

Co-authors: D. del-Castillo-Negrete, I. M. Sokolov, I. L. Caldas

Contact Info:
Oak Ridge National Laboratory
P.O. Box 2008, MS-6169
Oak Ridge , TN   37831-6

Abstract Text:
A statistical study of the gyro-averaged standard map (GSM) is presented. The GSM is a simplified description of E × B drift motion in magnetized plasmas including finite Larmor radius effects [J. Fonseca, et al., Phys. of Plasmas 21, 092310 (2014)]. The GSM is a modified version of the Chirikov-Taylor map where the perturbation depends on a function gamma, defined by the zero-order Bessel function of the Larmor radius. Using a Larmor radius’ probability density function resulting from a Maxwellian thermal equilibrium assumption, we present analytical and numerical results on the statistics of gamma, including its cumulative distribution function (cdf). The cfd of gamma is used to compute the probability of global chaos (Pc) and the probability of particle trapping in period-one islands (Pt). The analytical results are applied to the study of the escape rate, the rate of trapping, and the probability that Kolmogorov-Arnold-Moser (KAM) transport barriers do not exist for a given value of the Larmor radius.