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  • Survey on the role of accelerator modes for anomalous diffusion [Elektronski vir] : the case of the standard map
    Manos, Thanos ; Robnik, Marko, 1954-
    We perform an extensive and detailed analysis of the generalized diffusion processes in deterministic area preserving maps with noncompact phase space, exemplified by the standard map, with the ... special emphasis onunderstanding the anomalous diffusion arising due to the accelerator modes. The accelerator modes and theirimmediate neighborhood undergo ballistic transport in phase space, and also the greater vicinity of them is stillmuch affected (dragged) by them, giving rise to the non-Gaussian (accelerated) diffusion. The systematicapproach rests upon the following applications: the GALI method to detect the regular and chaotic regions andthus to describe in detail the structure of the phase space, the description of the momentum distribution in termsof the Levy stable distributions, and the numerical calculation of the diffusion exponent and of the correspondingdiffusion constant. We use this approach to analyze in detail and systematically the standard map at all valuesof the kick parameter K, up to K = 70. All complex features of the anomalous diffusion are well understoodin terms of the role of the accelerator modes, mainly of period 1 at large K>2 pi, but also of higher periods(2,3,4, . . .) at smaller values of K<2 pi.
    Source: Physical review. E, Statistical, nonlinear and soft matter physics [Elektronski vir]. - ISSN 1550-2376 (Vol. 89, iss. 2, 2014, str. 022905-1 - 022905-12)
    Type of material - e-article
    Publish date - 2014
    Language - english
    COBISS.SI-ID - 77280257
    DOI

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