Applications of noise theory to plasma fluctuations

Li, B.; Hazeltine, R. D.

doi:10.1103/physreve.73.065402

Cited by 22 publications

(19 citation statements)

References 22 publications

(37 reference statements)

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“…9 and 8 indicates that the peak location of the power spectrum f Ϸ 0.3/ t 0 Ϸ 1.4 kHz corresponds to the oscillation frequency of the correlation function, consistent with the Wiener-Khintchin theorem. 23 In Fig. 9 a key difference between the frequency spectra is a relative lack of fluctuation power in the simulation at the low frequencies that are just below the peak value.…”

Section: Phys Plasmas 16 082510 ͑2009͒mentioning

confidence: 99%

Plasma transport and turbulence in the Helimak: Simulation and experiment

Rogers

Ricci

et al. 2009

Physics of Plasmas

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The Helimak experiment produces a toroidal plasma with a helical magnetic field. A simulation-experiment comparison of turbulence in this device is presented, focusing on parameter regimes in which the turbulence is dominated by interchange modes with k ʈ Ӎ 0. The numerical simulations are based on a two-dimensional electrostatic two-fluid model that evolves the full radial profiles of plasma density, the electric potential, and the electron temperature. The simulation results are compared with the experiment and general agreement is found for the plasma profiles, the autocorrelation functions, the frequency spectra, the cross-correlation functions, and the probability density functions. Some quantitative differences between the simulation and experimental data are also discussed.

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Section: Phys Plasmas 16 082510 ͑2009͒mentioning

confidence: 99%

Plasma transport and turbulence in the Helimak: Simulation and experiment

Rogers

Ricci

et al. 2009

Physics of Plasmas

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“…Many experiments have been carried out on the electron density fluctuation correlation functions of magnetically confined toroidal plasmas [11,[13][14][15][16]. The results show that time series fluctuations can be nearly considered random, their statistics is roughly homogenous and isotropic in a plane perpendicular to the applied magnetic field, and the correlation length is smaller than the length scales of the background density and temperature gradients [9,10,[16][17][18][19]. In addition, in toroidal devices, the power density spectrum of the particle number density fluctuations has a universal shape [18,[20][21][22][23].…”

Section: Introductionmentioning

confidence: 94%

“…The theory of fluctuations of extensive thermodynamic parameters has also been developed [1]. In magnetically confined toroidal (MCT) plasmas, fluctuation-induced transport of particles and energy is of interest because of their unstable nature to a wide variety of small-scale fluctuations [9][10][11]. Furthermore, the effects on the wave number-frequency spectrum of the particle density fluctuations due to the scaling of the size of plasma magnetically confined devices have been investigated [12].…”

Section: Introductionmentioning

confidence: 99%

Plasma Markovian noise studied with a fractional relaxation model

2011

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Fluctuations can give useful information about the system under study. Here, particle density fluctuations in magnetically confined toroidal plasmas are studied using noise theory. Homogenous and stationary statistics are considered and correlations of fluctuations are calculated for markovian systems. The relaxation of fluctuations is modeled by the space-fractional diffusion equation. Effects of different parameters of this model on correlations have been obtained. The results identify the two fluctuating regimes observed in experiments, which are related to diffusive and wave propagation of the mass in the system.

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“…Some attempts to overcome the inherent limitations of Fickian formulations are to include additional convective terms in the diffusive model, to use fractional differential models, to include memory and nonlocal effects, etc. [2][3][4][5] The problem of how to predict the transport properties in plasma devices with larger ͑smaller͒ sizes has made to appear alternative transport models, since studies on global scaling properties suggest that the transport coefficients do depend on the system size. 6 Particularly, one scheme to study this problem is the generalization of classical diffusive transport known as the continuous time random walk.…”

Section: Introductionmentioning

confidence: 99%