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No Access Submitted: 09 June 2008 Accepted: 30 July 2008 Published Online: 19 August 2008

Multifractality in plasma edge electrostatic turbulence

Physics of Plasmas 15, 082311 (2008); https://doi.org/10.1063/1.2973175
C. Rodrigues Neto1, a), Z. O. Guimarães-Filho2, I. L. Caldas2, I. C. Nascimento2, and Yu. K. Kuznetsov2
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ABSTRACT
Plasma edge turbulence in Tokamak Chauffage Alfvén Brésilien (TCABR) [R. M. O. Galvão et al., Plasma Phys. Contr. Fusion 43, 1181 (2001)] is investigated for multifractal properties of the fluctuating floating electrostatic potential measured by Langmuir probes. The multifractality in this signal is characterized by the full multifractal spectra determined by applying the wavelet transform modulus maxima. In this work, the dependence of the multifractal spectrum with the radial position is presented. The multifractality degree inside the plasma increases with the radial position reaching a maximum near the plasma edge and becoming almost constant in the scrape-off layer. Comparisons between these results with those obtained for random test time series with the same Hurst exponents and data length statistically confirm the reported multifractal behavior. Moreover, the persistence of these signals, characterized by their Hurst exponent, present radial profile similar to the deterministic component estimated from analysis based on dynamical recurrences.

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