Recurrence quantification analysis of electrostatic fluctuations in fusion plasmas

Guimarães-Filho, Z. O.; Caldas, I. L.; Viana, Ricardo L.; Kurths, Jürgen; Nascimento, I. C.; Kuznetsov, Yu.K.

doi:10.1016/j.physleta.2007.07.088

Cited by 26 publications

(31 citation statements)

References 32 publications

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“…Finally, we show that the persistence radial profile is similar to the profile of the determinism obtained from recurrent plots analysis in a previous work. 15 The approach presented in this paper can be followed to evaluate the dynamical models used to describe plasma edge turbulence in tokamaks. Namely, these models should reproduce the reported radial dependence of the fractality and recurrence observed in the turbulence signals.…”

Section: Discussionmentioning

confidence: 99%

“…For a time series sampled at equally spaced time intervals x i = x͑t = ih͒, and its embedding series X ជ i = x i , x i+ , ... ,x i+͑d−1͒ , where d is the embedding dimension and is the time delay, it is possible to obtain recurrence plots ͑RPs͒. These RPs are graphical representations of the matrix 15,34 …”

Section: Multifractal Spectrum Radial Profilesmentioning

confidence: 99%

“…The importance of this noticeable result should be emphasized by remembering that the recurrence plot analyses of these fluctuations show a similar radial profile determinism with a maximum in the same region. 15 These profiles' similarity may indicate that these two properties found by different dynamical methods require a common dynamic explanation.…”

Section: Introductionmentioning

confidence: 97%

“…1, [10][11][12] On the other hand, dynamical diagnostics used to describe fluid turbulence 13 have been applied to analyze the plasma edge turbulence, as the return-time statistics 8,14 and recurrence analyses. 15 Furthermore, the structure of intermittent plasma signals can be studied using techniques as volatility clustering, fat tails, and long-range correlations. 4,5 Some of the methods to characterize the long-range correlations from experimental time series are the autocorrelation functions, power spectral densities, and probability distribution functions ͑PDFs͒.…”

Section: Introductionmentioning

confidence: 99%

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Multifractality in plasma edge electrostatic turbulence

et al. 2008

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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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Section: Discussionmentioning

confidence: 99%

Section: Multifractal Spectrum Radial Profilesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 97%

Section: Introductionmentioning

confidence: 99%

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Multifractality in plasma edge electrostatic turbulence

et al. 2008

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“…3,8 In this paper we pursue a different approach, the recurrence quantification analysis ͑RQA͒, widely used in nonlinear dynamics, 9 in order to quantify complex signals such as those yielded by electrostatic turbulence, and which is based on the recurrence properties of the time series. 10 The key idea in RQA is recurrence, which is a basic property of dynamical systems as already introduced by Poincaré in 1890: in volume-preserving flows with bounded orbits only, a given state will return, after a sufficiently long time, to an arbitrarily small neighborhood of this state. Even though our system does not fulfill the requirements for the Poincaré recurrence theorem, we can exploit the idea of recurrence by tracking the evolution of the systems state at each time, in order to find the instant where it returns close to that state.…”

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confidence: 99%

Recurrence quantification analysis of turbulent fluctuations in the plasma edge of Tokamak Chauffage Alfvén Brésilien tokamak

et al. 2010

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A generalized flux function for three-dimensional magnetic reconnection Phys. Plasmas 18, 102118 (2011) Time-frequency analysis for microwave reflectometry data processing in the HL-2A tokamak Rev. Sci. Instrum. 82, 103508 (2011) Recurrences are close returns of a given state in a time series, and can be used to identify different dynamical regimes and other related phenomena, being particularly suited for analyzing experimental data. In this work, we use recurrence quantification analysis to investigate dynamical patterns in scalar data series obtained from measurements of floating potential and ion saturation current at the plasma edge of the Tokamak Chauffage Alfvén Brésilien ͓R. M. O. Galvão et al., Plasma Phys. Controlled Fusion 43, 1181 ͑2001͔͒. We consider plasma discharges with and without the application of radial electric bias, and also with two different regimes of current ramp. Our results indicate that biasing improves confinement through destroying highly recurrent regions within the plasma column that enhance particle and heat transport.

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Experimental observation of intermittent route to chaos in magnetized filamentary discharge plasma due to the cylindrical plasma bubble

Megalingam

Sangem

Sarma

2020

Contributions to Plasma Physics

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We delineate an experimental observation of the effect of the magnetic field along with mesh grid biasing in the presence of a cylindrical plasma bubble in a filamentary discharge magnetised plasma system. The cylindrical mesh grid of 80% optical transparency has been negatively biased and introduced in the plasma for creating a plasma bubble. Plasma floating potential fluctuations have been taken outside (LP1) and inside (LP2) of the plasma bubble. It has been noticed that as the external magnetic field is increased the oscillation pattern shows intermittent route to chaos as the system evolved from regular type of relaxation oscillations (of larger amplitude) to an irregular type of oscillations (of smaller amplitude) We have used recurrence quantification analysis (RQA) to the observed intermittency to chaos in the plasma. The main measures of RQA are laminarity (LAM) and determinism (DET). The laminarity measure can be associated with the average time between the chaotic burst in the intermittency. It has also been observed that the DET depends on the control parameter and decreases exponentially, features like a dip in skewness and a hump in the kurtosis with the variation of control parameter have been noticed, which are the strong evidence of intermittent behaviour of the system. Further, a numerical model has been developed to the observed experimental analysis of the intermittent route to chaos. K E Y W O R D Schaos, cylindrical plasma bubble, intermittency

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Recurrence quantification analysis of electrostatic fluctuations in fusion plasmas

Cited by 26 publications

References 32 publications

Multifractality in plasma edge electrostatic turbulence

Multifractality in plasma edge electrostatic turbulence

Recurrence quantification analysis of turbulent fluctuations in the plasma edge of Tokamak Chauffage Alfvén Brésilien tokamak

Experimental observation of intermittent route to chaos in magnetized filamentary discharge plasma due to the cylindrical plasma bubble

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