• Level crossings, excess times, and transient plasma-wall interactions in fusion plasmas 

      Theodorsen, Audun; Garcia, Odd Erik (Journal article; Tidsskriftartikkel; Peer reviewed, 2016-04-19)
      Based on a stochastic model for intermittent fluctuations in the boundary region of magnetically confined plasmas, an expression for the level crossing rate is derived from the joint distribution of the process and its derivative. From this the average time spent by the process above a certain threshold level is obtained. This provides novel predictions of plasma–wall interactions due to transient ...
    • Magnetic field-aligned plasma currents in gravitational fields 

      Garcia, Odd Erik; Leer, Egil; Pecseli, Hans; Trulsen, Jan Karsten (Journal article; Tidsskriftartikkel; Peer reviewed, 2015-03-03)
      Analytical models are presented for currents along vertical magnetic field lines due to slow bulk electron motion in plasmas subject to a gravitational force. It is demonstrated that a general feature of this problem is a singularity in the plasma pressure force that develops at some finite altitude when a plasma that is initially in static equilibrium is set into slow motion. Classical fluid models ...
    • Measurement of inner wall limiter SOL widths in KSTAR tokamak 

      Bak, J. G.; Pitts, RA; Kim, HS; Lee, H; Bin, C.; Juhn, JW; Hong, SH; Garcia, Odd Erik; Kube, Ralph Arthur; Seo, DC (Journal article; Tidsskriftartikkel; Peer reviewed, 2016-12-27)
      Scrape-off layer (SOL) widths <i>λ<sub>q</sub></i> are presented from the KSTAR tokamak using fast reciprocating Langmuir probe assembly (FRLPA) measurements at the outboard mid-plane (OMP) and the infra-Red (IR) thermography at inboard limiter tiles in moderately elongated (<i>κ</i> = 1.45 – 1.55) L-mode inner wall-limited (IWL) plasmas under experimental conditions such as B<sub>T</sub> = 2.0 T, ...
    • Models for electrostatic drift waves with density variations along magnetic field lines 

      Garcia, Odd Erik; Pecseli, Hans (Journal article; Tidsskriftartikkel; Peer reviewed, 2013)
      Drift waves with vertical magnetic fields in gravitational ionospheres are considered where the unperturbed plasma density is enhanced in a magnetic flux tube. The gravitational field gives rise to an overall decrease of plasma density for increasing altitude. Simple models predict that drift waves with finite vertical wave vector components can increase in amplitude merely due to a conservation of ...
    • Plasma fluctuations in the scrape-off layer and at the divertor target in Alcator C-Mod and their relationship to divertor collisionality and density shoulder formation 

      Kuang, AQ; LaBombard, Brian; Brunner, D; Garcia, Odd Erik; Kube, Ralph; Theodorsen, Audun (Journal article; Tidsskriftartikkel; Peer reviewed, 2019-03-15)
      Experiments indicate that the formation of density shoulders in the far scrape-off layer (SOL) is associated with an increase in cross-field transport and the propagation of coherent structures of high density known as blobs. It has been suggested that far SOL divertor collisionality (Λ<sub>div</sub>) may be a controlling parameter in this physics, which could be challenging for heat flux mitigation ...
    • Power law spectra and intermittent fluctuations due to uncorrelated Lorentzian pulses 

      Garcia, Odd Erik; Theodorsen, Audun (Peer reviewed; Journal article; Tidsskriftsartikkel, 2017-02)
      A stochastic model for intermittent fluctuations due to a super-position of uncorrelated Lorentzian pulses is presented. For a constant pulse duration, this is shown to result in an exponential power spectral density for the stationary process. A random distribution of pulse durations modifies the frequency spectrum, and several examples are shown to result in power law spectra. The distribution of ...
    • Power-law scaling of uncorrelated plasma bursts 

      Theodorsen, Audun; Garcia, Odd Erik; Rypdal, Martin wibe (Conference object; Konferansebidrag, 2019-07)
    • Probability distribution functions for intermittent scrape-off layer plasma fluctuations 

      Theodorsen, Audun; Garcia, Odd Erik (Journal article; Peer reviewed; Tidsskriftartikkel, 2018-01-24)
      A stochastic model for intermittent fluctuations in the scrape-off layer of magnetically confined plasmas has been constructed based on a super-position of uncorrelated pulses arriving according to a Poisson process. In the most common applications of the model, the pulse amplitudes are assumed exponentially distributed, supported by conditional averaging of large-amplitude fluctuations in experimental ...
    • Reconstruction of intermittent time series as a superposition of pulses 

      Ahmed, Sajidah; Garcia, Odd Erik; Theodorsen, Audun (Journal article; Tidsskriftartikkel; Peer reviewed, 2023-05)
      Fluctuations in a vast range of physical systems can be described as a superposition of uncorrelated pulses with a fixed shape, a process commonly referred to as a (generalized) shot noise or a filtered Poisson process. In this paper, we present a systematic study of a deconvolution method to estimate the arrival times and amplitudes of the pulses from realizations of such processes. The method shows ...
    • Relationship between frequency power spectra and intermittent, large-amplitude bursts in the Alcator C-Mod scrape-off layer 

      Theodorsen, Audun; Garcia, Odd Erik; Kube, Ralph; LaBombard, Brian; Terry, Jim L. (Journal article; Tidsskriftartikkel; Peer reviewed, 2017-08-21)
      Fluctuations in the boundary region of the Alcator C-Mod tokamak have been analyzed using gas puff imaging data from a set of Ohmically heated plasma density scan experiments. It is found that the relative fluctuation amplitudes are modest and close to normally distributed at the separatrix but become increasingly larger and skewed towards the main chamber wall. The frequency power spectra are ...
    • Scrape-off layer turbulence in TCV: Evidence in support of stochastic modelling. 

      Theodorsen, Audun; Garcia, Odd Erik; Horacek, Jan; Kube, Ralph; Pitts, RA (Journal article; Tidsskriftartikkel; Peer reviewed, 2016-01-28)
      Intermittent fluctuations in the TCV scrape-off layer have been investigated by analysing long Langmuir probe data time series under stationary conditions, allowing calculation of fluctuation statistics with high accuracy. The ion saturation current signal is dominated by the frequent occurrence of large-amplitude bursts attributed to filament structures moving through the scrape-off layer. The ...
    • Skewed Lorentzian pulses and exponential frequency power spectra 

      Garcia, Odd Erik; Theodorsen, Audun (Journal article; Tidsskriftartikkel; Peer reviewed, 2018-01-18)
      Frequency power spectra due to a super-position of uncorrelated Lorentzian pulses with a random distribution of amplitudes are considered. For pulses with a constant duration, there is an exponential frequency spectrum which is independent of the degree of pulse overlap and the pulse amplitude distribution. The spectrum is furthermore shown to be unaffected by skewness of the Lorentzian pulses and ...
    • SOL width and intermittent fluctuations in KSTAR 

      Garcia, Odd Erik; Kube, Ralph Arthur; Theodorsen, Audun; Bak, J. G.; Hong, SH; Kim, H.S.; KSTAR, project team; Pitts, RA (Journal article; Tidsskriftartikkel; Peer reviewed, 2016-12-27)
      Radial profiles of the ion saturation current and its fluctuation statistics are presented from probe measurements in L-mode, neutral beam heated plasmas at the outboard mid-plane region of KSTAR. The results are consistent with the familiar two-layer structure, seen elsewhere in tokamak L-mode discharges, with a steep near-SOL profile and a broad far-SOL profile. The profile scale length in the ...
    • A solvable blob-model for magnetized plasmas 

      Pecseli, Hans; Sortland, Daniel Selnes; Garcia, Odd Erik (Peer reviewed; Journal article; Tidsskriftsartikkel, 2016-09-06)
      A simple analytically solvable model for blobs in magnetized plasmas is proposed. The model gives results for a scaling of the blob velocity with the amplitude of the density perturbation. Limiting cases are considered: one where the plasma motion is strictly perpendicular to an externally imposed toroidal magnetic field, and one where the electrons can move along magnetic field lines to compensate ...
    • Statistical properties of a filtered Poisson process with additive random noise: distributions, correlations and moment estimation 

      Theodorsen, Audun; Garcia, Odd Erik; Rypdal, Martin Wibe (Journal article; Tidsskriftartikkel; Peer reviewed, 2017-04-19)
      Filtered Poisson processes are often used as reference models for intermittent fluctuations in physical systems. Such a process is here extended by adding a noise term, either as a purely additive term to the process or as a dynamical term in a stochastic differential equation. The lowest order moments, probability density function, auto-correlation function and power spectral density are derived ...
    • Statistical properties of fluctuation driven flows in the outboard mid-plane SOL of Alcator C-Mod 

      Kube, Ralph; Garcia, Odd Erik; Theodorsen, Audun; Kuang, Adam; Brunner, Dan; LaBombard, Brian; Terry, Jim L. (Conference object; Konferansebidrag, 2018)
      The scale length of the radial density profile in scrape-off layer plasmas has been shown to depend on the line-averaged plasma density. While first reported on AlcatorC-Mod, recent work verifies this phenomena in JET and ASDEX Upgrade. In low density plasmas with a sheath-limited SOL, the density profiles present a two-scale structure which allows the separation of the SOL into two distinct regions. ...
    • Statistical properties of the plasma fluctuations and turbulent cross-field fluxes in the outboard mid-plane scrape-off layer of Alcator C-Mod 

      Kube, Ralph; Garcia, Odd Erik; Theodorsen, Audun; Kuang, Adam; LaBombard, Brian; Terry, Jim L.; Brunner, Dan (Journal article; Tidsskriftartikkel; Peer reviewed, 2018-12-29)
      The Alcator C-Mod mirror Langmuir probe diagnostic is used to characterize plasma fluctuations in the outboard mid-plane scrape-off layer (SOL). Ohmically heated L-mode plasmas with Greenwald fractions from 0.1 to 0.45 are analyzed. In plasmas with a low line-averaged core density, the radial profiles of the average electron density and temperature feature a two-scale structure with a strong gradient ...
    • Stochastic modeling of blob-like plasma filaments in the scrape-off layer: Theoretical foundation 

      Losada, Juan Manuel; Theodorsen, Audun; Garcia, Odd Erik (Journal article; Tidsskriftartikkel; Peer reviewed, 2023-04-25)
      A stochastic model for a superposition of uncorrelated pulses with a random distribution of amplitudes, sizes, and velocities is presented. The pulses are assumed to move radially with fixed shape and amplitudes decaying exponentially in time due to linear damping. The pulse velocities are taken to be time-independent but randomly distributed. The implications of a distribution of pulse amplitudes, ...
    • Stochastic modeling of scrape-off layer fluctuations 

      Kube, Ralph; Theodorsen, Audun; Garcia, Odd Erik; Brunner, Daniel; Kuang, Adam; LaBombard, Brian; Terry, James L. (Conference object; Konferansebidrag, 2017-08-24)
      1. Stochastic model of data time series <br> 2. Comparison to experimental measurements
    • Stochastic modelling of intermittent fluctuations in the scrape-off layer: Correlations, distributions, level crossings, and moment estimation 

      Garcia, Odd Erik; Kube, Ralph; Theodorsen, Audun; Pecseli, Hans (Journal article; Tidsskriftartikkel; Peer reviewed, 2016-05)
      A stochastic model is presented for intermittent fluctuations in the scrape-off layer of magnetically confined plasmas. The fluctuations in the plasma density are modeled by a super-position of uncorrelated pulses with fixed shape and duration, describing radial motion of blob-like structures. In the case of an exponential pulse shape and exponentially distributed pulse amplitudes, predictions are ...