超相対論領域における相対論的標準写像の統計的性質

概要

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The statistical properties of the relativistic standard map are investigated in an ultra-relativistic regime. Because particle transport is restricted within the outermost KAM surfaces, th.e second moment of action of particle motion saturates in a finite time. It is found that the saturation level is not sensitive to the relativistic effect. Growth rate of the second moment of action, however, becomes smaller according to the relativistic effect. In order to specify the chaotic motion of particles, we analyze correlation function of force acted on the system and its power spectrum. The correlation function oscillates with time and the corresponding power spectrum possesses sharp peaks resulting from the stickiness of particle to the periodic orbits.
社団法人プラズマ・核融合学会の論文
1994-06-25