Chaotic density fluctuations in L-mode plasmas of the DIII-D tokamak

Maggs, J. E.; Rhodes, Terry L.; Morales, G. J.

doi:10.1088/0741-3335/57/4/045004

Title: Chaotic density fluctuations in L-mode plasmas of the DIII-D tokamak

Abstract

Analysis of the time series obtained with the Doppler backscattering system (DBS) in the DIII-D tokamak shows that intermediate wave number plasma density fluctuations in low confinement (L-mode) tokamak plasmas are chaotic. Here, the supporting evidence is based on the shape of the power spectrum; the location of the signal in the complexity-entropy plane (C-H plane); and the population of the corresponding Bandt-Pompe probability distributions.

Authors:

Maggs, J. E. ^[1]; Rhodes, Terry L. ^[1]; Morales, G. J. ^[1]

Univ. of California, Los Angeles, CA (United States)

Publication Date:: Thu Mar 05 00:00:00 EST 2015

Research Org.:: General Atomics, San Diego, CA (United States)

Sponsoring Org.:: USDOE Advanced Research Projects Agency - Energy (ARPA-E)

OSTI Identifier:: 1371741

Grant/Contract Number:: FC02-04ER54698

Resource Type:: Accepted Manuscript

Journal Name:: Plasma Physics and Controlled Fusion

Additional Journal Information:: Journal Volume: 57; Journal Issue: 4; Journal ID: ISSN 0741-3335

Publisher:: IOP Science

Country of Publication:: United States

Language:: English

Subject:: 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; chaos; plasmas; spectral density; pulse structure

Citation Formats


                    Maggs, J. E., Rhodes, Terry L., and Morales, G. J. Chaotic density fluctuations in L-mode plasmas of the DIII-D tokamak.  United States: N. p., 2015. 
Web.  doi:10.1088/0741-3335/57/4/045004.

Copy to clipboard


                    Maggs, J. E., Rhodes, Terry L., & Morales, G. J. Chaotic density fluctuations in L-mode plasmas of the DIII-D tokamak.  United States.  https://doi.org/10.1088/0741-3335/57/4/045004

Copy to clipboard


                    Maggs, J. E., Rhodes, Terry L., and Morales, G. J. Thu .  
"Chaotic density fluctuations in L-mode plasmas of the DIII-D tokamak".  United States.  https://doi.org/10.1088/0741-3335/57/4/045004.  https://www.osti.gov/servlets/purl/1371741.

Copy to clipboard


                    
@article{osti_1371741,

  title        = {Chaotic density fluctuations in L-mode plasmas of the DIII-D tokamak},

  author       = {Maggs, J. E. and Rhodes, Terry L. and Morales, G. J.},

  abstractNote = {Analysis of the time series obtained with the Doppler backscattering system (DBS) in the DIII-D tokamak shows that intermediate wave number plasma density fluctuations in low confinement (L-mode) tokamak plasmas are chaotic. Here, the supporting evidence is based on the shape of the power spectrum; the location of the signal in the complexity-entropy plane (C-H plane); and the population of the corresponding Bandt-Pompe probability distributions.},

  doi          = {10.1088/0741-3335/57/4/045004},

  journal      = {Plasma Physics and Controlled Fusion},

  number       = 4,

  volume       = 57,

  place        = {United States},

  year         = {Thu Mar 05 00:00:00 EST 2015},

  month        = {Thu Mar 05 00:00:00 EST 2015}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (DOE)

Publisher's Version of Record

https://doi.org/10.1088/0741-3335/57/4/045004

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 10 works

Citation information provided by
Web of Science

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

Convective transport by intermittent blob-filaments: Comparison of theory and experiment
journal, June 2011

D’Ippolito, D. A.; Myra, J. R.; Zweben, S. J.
Physics of Plasmas, Vol. 18, Issue 6
DOI: 10.1063/1.3594609

Blob Transport in the Plasma Edge: a Review
journal, January 2009

Garcia, O. E.
Plasma and Fusion Research, Vol. 4
DOI: 10.1585/pfr.4.019

Extended self-similarity of intermittent turbulence in edge magnetized plasmas
journal, January 2008

Budaev, V. P.; Ohno, N.; Masuzaki, S.
Nuclear Fusion, Vol. 48, Issue 2
DOI: 10.1088/0029-5515/48/2/024014

Edge turbulence measurements in toroidal fusion devices
journal, June 2007

Zweben, S. J.; Boedo, J. A.; Grulke, O.
Plasma Physics and Controlled Fusion, Vol. 49, Issue 7
DOI: 10.1088/0741-3335/49/7/S01

Statistical characterization of fluctuation wave forms in the boundary region of fusion and nonfusion plasmas
journal, May 2000

Sánchez, E.; Hidalgo, C.; López-Bruna, D.
Physics of Plasmas, Vol. 7, Issue 5
DOI: 10.1063/1.873958

Clarifying Chaos iii: Chaotic and Stochastic Processes, Chaotic Resonance, and Number Theory
journal, May 1999

Brown, Ray; Chua, Leon O.
International Journal of Bifurcation and Chaos, Vol. 09, Issue 05
DOI: 10.1142/S0218127499000560

A multichannel, frequency-modulated, tunable Doppler backscattering and reflectometry system
journal, August 2009

Hillesheim, J. C.; Peebles, W. A.; Rhodes, T. L.
Review of Scientific Instruments, Vol. 80, Issue 8
DOI: 10.1063/1.3205449

Cryogenic Tritium Target
journal, January 2005

Yukhimchuk, A. A.
Fusion Science and Technology, Vol. 48, Issue 1, 294-297
DOI: 10.13182/fst05-26

Doppler reflectometry for the investigation of propagating density perturbations
journal, October 2001

Hirsch, M.; Holzhauer, E.; Baldzuhn, J.
Plasma Physics and Controlled Fusion, Vol. 43, Issue 12
DOI: 10.1088/0741-3335/43/12/302

Doppler backscattering system for measuring fluctuations and their perpendicular velocity on Tore Supra
journal, October 2004

Hennequin, P.; Honoré, C.; Truc, A.
Review of Scientific Instruments, Vol. 75, Issue 10
DOI: 10.1063/1.1787920

Detection of zonal flow spectra in DIII-D by a dual-channel Doppler backscattering system
journal, October 2008

Schmitz, L.; Wang, G.; Hillesheim, J. C.
Review of Scientific Instruments, Vol. 79, Issue 10
DOI: 10.1063/1.2953675

Experimental investigation of geodesic acoustic mode spatial structure, intermittency, and interaction with turbulence in the DIII-D tokamak
journal, February 2012

Hillesheim, J. C.; Peebles, W. A.; Carter, T. A.
Physics of Plasmas, Vol. 19, Issue 2
DOI: 10.1063/1.3678210

Spatial, temporal and spectral structure of the turbulence–flow interaction at the L–H transition
journal, November 2012

Estrada, T.; Ascasíbar, E.; Blanco, E.
Plasma Physics and Controlled Fusion, Vol. 54, Issue 12
DOI: 10.1088/0741-3335/54/12/124024

Transport by intermittent convection in the boundary of the DIII-D tokamak
journal, November 2001

Boedo, J. A.; Rudakov, D.; Moyer, R.
Physics of Plasmas, Vol. 8, Issue 11
DOI: 10.1063/1.1406940

Structure and properties of the electrostatic fluctuations in the far scrape-off layer region of Alcator C-Mod
journal, August 2001

Carreras, B. A.; Lynch, V. E.; LaBombard, B.
Physics of Plasmas, Vol. 8, Issue 8
DOI: 10.1063/1.1387266

Empirical Similarity of Frequency Spectra of the Edge-Plasma Fluctuations in Toroidal Magnetic-Confinement Systems
journal, May 1999

Pedrosa, M. A.; Hidalgo, C.; Carreras, B. A.
Physical Review Letters, Vol. 82, Issue 18
DOI: 10.1103/PhysRevLett.82.3621

Distinguishing Noise from Chaos
journal, October 2007

Rosso, O. A.; Larrondo, H. A.; Martin, M. T.
Physical Review Letters, Vol. 99, Issue 15
DOI: 10.1103/PhysRevLett.99.154102

Permutation Entropy: A Natural Complexity Measure for Time Series
journal, April 2002

Bandt, Christoph; Pompe, Bernd
Physical Review Letters, Vol. 88, Issue 17
DOI: 10.1103/PhysRevLett.88.174102

Permutation entropy analysis of temperature fluctuations from a basic electron heat transport experiment
journal, June 2013

Maggs, J. E.; Morales, G. J.
Plasma Physics and Controlled Fusion, Vol. 55, Issue 8
DOI: 10.1088/0741-3335/55/8/085015

Chaos in magnetic flux ropes
journal, February 2014

Gekelman, Walter; Van Compernolle, Bart; DeHaas, Tim
Plasma Physics and Controlled Fusion, Vol. 56, Issue 6
DOI: 10.1088/0741-3335/56/6/064002

A design retrospective of the DIII-D tokamak
journal, May 2002

Luxon, J. L.
Nuclear Fusion, Vol. 42, Issue 5
DOI: 10.1088/0029-5515/42/5/313

A novel, multichannel, comb-frequency Doppler backscatter system
journal, October 2010

Peebles, W. A.; Rhodes, T. L.; Hillesheim, J. C.
Review of Scientific Instruments, Vol. 81, Issue 10
DOI: 10.1063/1.3464266

Drift waves and transport
journal, April 1999

Horton, W.
Reviews of Modern Physics, Vol. 71, Issue 3
DOI: 10.1103/RevModPhys.71.735

Chapter 2: Plasma confinement and transport
journal, June 2007

Physics), E. J. Doyle (Chair Transport; Modelling), W. A. Houlberg (Chair Confinement Da; Edge), Y. Kamada (Chair Pedestal and
Nuclear Fusion, Vol. 47, Issue 6
DOI: 10.1088/0029-5515/47/6/S02

Fractional Brownian Motions, Fractional Noises and Applications
journal, October 1968

Mandelbrot, Benoit B.; Van Ness, John W.
SIAM Review, Vol. 10, Issue 4
DOI: 10.1137/1010093

Exponential Characteristics of Power Spectral Densities Caused by Chaotic Phenomena
journal, April 1995

Ohtomo, Norio; Tokiwano, Kazuo; Tanaka, Yukio
Journal of the Physical Society of Japan, Vol. 64, Issue 4
DOI: 10.1143/JPSJ.64.1104

Intermittency in nonlinear dynamics and singularities at complex times
journal, May 1981

Frisch, Uriel; Morf, Rudolf
Physical Review A, Vol. 23, Issue 5
DOI: 10.1103/PhysRevA.23.2673

Exponential decay of power spectra at high frequency and positive Lyapunov exponents
journal, April 1995

Sigeti, David E.
Physica D: Nonlinear Phenomena, Vol. 82, Issue 1-2
DOI: 10.1016/0167-2789(94)00225-F

Multifractal characterizations of nonstationarity and intermittency in geophysical fields: Observed, retrieved, or simulated
journal, January 1994

Davis, Anthony; Marshak, Alexander; Wiscombe, Warren
Journal of Geophysical Research, Vol. 99, Issue D4
DOI: 10.1029/94JD00219

Causality and the entropy–complexity plane: Robustness and missing ordinal patterns
journal, January 2012

Rosso, Osvaldo A.; Carpi, Laura C.; Saco, Patricia M.
Physica A: Statistical Mechanics and its Applications, Vol. 391, Issue 1-2
DOI: 10.1016/j.physa.2011.07.030

Exponential frequency spectrum and Lorentzian pulses in magnetized plasmas
journal, December 2008

Pace, D. C.; Shi, M.; Maggs, J. E.
Physics of Plasmas, Vol. 15, Issue 12
DOI: 10.1063/1.3023155

Observation of exponential spectra and Lorentzian pulses in the TJ-K stellarator
journal, August 2011

Hornung, G.; Nold, B.; Maggs, J. E.
Physics of Plasmas, Vol. 18, Issue 8
DOI: 10.1063/1.3622679

Origin of Lorentzian pulses in deterministic chaos
journal, July 2012

Maggs, J. E.; Morales, G. J.
Physical Review E, Vol. 86, Issue 1
DOI: 10.1103/PhysRevE.86.015401

Works referencing / citing this record:

Transport properties of a hollow pressure filament in a magnetized plasma
journal, September 2016

Poulos, M. J.; Morales, G. J.
Physics of Plasmas, Vol. 23, Issue 9
DOI: 10.1063/1.4962574

Chaotic edge density fluctuations in the Alcator C-Mod tokamak
journal, April 2017

Zhu, Z.; White, A. E.; Carter, T. A.
Physics of Plasmas, Vol. 24, Issue 4
DOI: 10.1063/1.4978784

Chaotic edge density fluctuations in the Alcator C-Mod tokamak
journal, April 2017

Zhu, Z.; White, A. E.; Carter, T. A.
Physics of Plasmas, Vol. 24, Issue 4
DOI: 10.1063/1.4978784

Stochastic fluctuation and transport of tokamak edge plasmas with the resonant magnetic perturbation field
text, January 2021

Choi, Minjun J.; Kwon, Jae-Min; Kim, Juhyung
arXiv
DOI: 10.48550/arxiv.2102.10733

Similar Records in DOE PAGES and OSTI.GOV collections:

Chaotic edge density fluctuations in the Alcator C-Mod tokamak

Dataset Zhu, Z. ; White, A. E. ; Carter, T. A. ; ...

Analysis of the time series obtained with the O-Mode reflectometer [Rhodes et al., 1997 Plasma Phys. Controlled Fusion 40, 493–510 (1998)] and the gas puff imaging [Cziegler et al., Phys. Plasmas 17(5), 056120 (2010)] systems on the Alcator C-Mod tokamak reveals that the turbulent edge density fluctuations are chaotic. Supporting evidence for this conclusion includes the observation of exponential power spectra (which is associated with Lorentzian-shaped pulses in the time series), the population of the corresponding Bandt-Pompe probability distributions [Bandt and Pompe, Phys. Rev. Lett. 88, 174102 (2002)], and the location of the signal on the complexity-entropy plane (C-H plane)more »« less
https://doi.org/10.7910/DVN/HCNVAV

View Dataset
Density wavenumber spectrum measurements, synthetic diagnostic development, and tests of quasilinear turbulence modeling in the core of electron-heated DIII-D H-mode plasmas

Journal Article Pratt, Q. ; Hall-Chen, V. ; Neiser, T. F. ; ... - Nuclear Fusion

Measurements of the turbulent density wavenumber spectrum, δn_e(k_⊥), using the Doppler Back-Scattering (DBS) diagnostic are reported from DIII-D H-mode plasmas with electron cyclotron heating (ECH) as the only auxiliary heating method. These electron-heated plasmas have low collisionality, ν*_e < 1, T_e/T_i > 1, and zero injected torque – a regime expected to be relevant for future fusion devices. We probe density fluctuations in the core (ρ ≈ 0.7) over a broad wavenumber range, 0.5more »« less
https://doi.org/10.1088/1741-4326/ad0906
Observation of quasi-coherent density fluctuation in scrape-off layer enhancing boundary transport in high-βN hybrid plasmas on DIII-D

Journal Article Hong, Rongjie ; Rhodes, Terry L. ; Li, Zeyu ; ... - Plasma Physics and Controlled Fusion

In this work, we report the observation of a quasi-coherent density fluctuation (QCF) by the Doppler backscattering system in the scrape-off layer (SOL) region of the DIII-D tokamak. This QCF is observed in high power, high performance hybrid plasmas with near double-null divertor (DND) shape during the electron cyclotron heating period. This mode is correlated with a steepened SOL density profile, and leads to significantly elevated particle and heat fluxes between ELMs. The SOL QCF is a long-wavelength ion-scale fluctuation (k_θρ_s≈0.2-0.4 and k_rρ_s≈0.03), and propagates in the ion diamagnetic direction in the plasma frame. Its radial expanse is about 1.5–2more »« less
https://doi.org/10.1088/1361-6587/abf85b

Full Text Available
Reduced electron thermal transport in low collisionality H-mode plasmas in DIII-D and the importance of TEM/ETG-scale turbulence

Journal Article Schmitz, L. ; Holland, C. ; Rhodes, T. L. ; ... - Nuclear Fusion

The first systematic investigation of core electron thermal transport and the role of local ion temperature gradient/trapped electron mode/electron temperature gradient (ITG/TEM/ETG)-scale core turbulence is performed in high temperature, low collisionality H-mode plasmas in the DIII-D tokamak. Wavenumber spectra of L-mode and H-mode density turbulence are measured by Doppler backscattering. H-mode wavenumber spectra are directly contrasted for the first time with nonlinear gyrokinetic simulation results. Core ITG/TEM-scale turbulence is substantially reduced/suppressed by E × B shear promptly after the L–H transition, resulting in reduced electron thermal transport across the entire minor radius. For small kθρs, both experiment and nonlinear gyrokineticmore »« less
https://doi.org/10.1088/0029-5515/52/2/023003
New plasma measurements with a multichannel millimeter-wave fluctuation diagnostic system in the DIII-D tokamak (invited)

Journal Article Hillesheim, J C ; Peebles, W A ; Rhodes, T L ; ... - Review of Scientific Instruments

A novel multichannel, tunable Doppler backscattering (DBS)/reflectometry system has recently been developed and applied to a variety of DIII-D plasmas. Either DBS or reflectometry can be easily configured for use in a wide range of plasma conditions using a flexible quasi-optical antenna system. The multiple closely spaced channels, when combined with other fluctuation diagnostic systems, have opened up new measurements of plasma properties. For example, the toroidal and fine-scale radial structure of coherent plasma oscillations, such as geodesic acoustic modes, have been probed simultaneously in the core of high temperature plasmas by applying correlation analysis between two toroidally separated DBSmore »« less
https://doi.org/10.1063/1.3466900

Similar Records

Title: Chaotic density fluctuations in L-mode plasmas of the DIII-D tokamak

Abstract

Citation Formats

Convective transport by intermittent blob-filaments: Comparison of theory and experiment journal, June 2011

Blob Transport in the Plasma Edge: a Review journal, January 2009

Extended self-similarity of intermittent turbulence in edge magnetized plasmas journal, January 2008

Edge turbulence measurements in toroidal fusion devices journal, June 2007

Statistical characterization of fluctuation wave forms in the boundary region of fusion and nonfusion plasmas journal, May 2000

Clarifying Chaos iii: Chaotic and Stochastic Processes, Chaotic Resonance, and Number Theory journal, May 1999

A multichannel, frequency-modulated, tunable Doppler backscattering and reflectometry system journal, August 2009

Cryogenic Tritium Target journal, January 2005

Doppler reflectometry for the investigation of propagating density perturbations journal, October 2001

Doppler backscattering system for measuring fluctuations and their perpendicular velocity on Tore Supra journal, October 2004

Detection of zonal flow spectra in DIII-D by a dual-channel Doppler backscattering system journal, October 2008

Experimental investigation of geodesic acoustic mode spatial structure, intermittency, and interaction with turbulence in the DIII-D tokamak journal, February 2012

Spatial, temporal and spectral structure of the turbulence–flow interaction at the L–H transition journal, November 2012

Transport by intermittent convection in the boundary of the DIII-D tokamak journal, November 2001

Structure and properties of the electrostatic fluctuations in the far scrape-off layer region of Alcator C-Mod journal, August 2001

Empirical Similarity of Frequency Spectra of the Edge-Plasma Fluctuations in Toroidal Magnetic-Confinement Systems journal, May 1999

Distinguishing Noise from Chaos journal, October 2007

Permutation Entropy: A Natural Complexity Measure for Time Series journal, April 2002

Permutation entropy analysis of temperature fluctuations from a basic electron heat transport experiment journal, June 2013

Chaos in magnetic flux ropes journal, February 2014

A design retrospective of the DIII-D tokamak journal, May 2002

A novel, multichannel, comb-frequency Doppler backscatter system journal, October 2010

Drift waves and transport journal, April 1999

Chapter 2: Plasma confinement and transport journal, June 2007

Fractional Brownian Motions, Fractional Noises and Applications journal, October 1968

Exponential Characteristics of Power Spectral Densities Caused by Chaotic Phenomena journal, April 1995

Intermittency in nonlinear dynamics and singularities at complex times journal, May 1981

Exponential decay of power spectra at high frequency and positive Lyapunov exponents journal, April 1995

Multifractal characterizations of nonstationarity and intermittency in geophysical fields: Observed, retrieved, or simulated journal, January 1994

Causality and the entropy–complexity plane: Robustness and missing ordinal patterns journal, January 2012

Exponential frequency spectrum and Lorentzian pulses in magnetized plasmas journal, December 2008

Observation of exponential spectra and Lorentzian pulses in the TJ-K stellarator journal, August 2011

Origin of Lorentzian pulses in deterministic chaos journal, July 2012

Transport properties of a hollow pressure filament in a magnetized plasma journal, September 2016

Chaotic edge density fluctuations in the Alcator C-Mod tokamak journal, April 2017

Chaotic edge density fluctuations in the Alcator C-Mod tokamak journal, April 2017

Stochastic fluctuation and transport of tokamak edge plasmas with the resonant magnetic perturbation field text, January 2021

Convective transport by intermittent blob-filaments: Comparison of theory and experiment
journal, June 2011

Blob Transport in the Plasma Edge: a Review
journal, January 2009

Extended self-similarity of intermittent turbulence in edge magnetized plasmas
journal, January 2008

Edge turbulence measurements in toroidal fusion devices
journal, June 2007

Statistical characterization of fluctuation wave forms in the boundary region of fusion and nonfusion plasmas
journal, May 2000

Clarifying Chaos iii: Chaotic and Stochastic Processes, Chaotic Resonance, and Number Theory
journal, May 1999

A multichannel, frequency-modulated, tunable Doppler backscattering and reflectometry system
journal, August 2009

Cryogenic Tritium Target
journal, January 2005

Doppler reflectometry for the investigation of propagating density perturbations
journal, October 2001

Doppler backscattering system for measuring fluctuations and their perpendicular velocity on Tore Supra
journal, October 2004

Detection of zonal flow spectra in DIII-D by a dual-channel Doppler backscattering system
journal, October 2008

Experimental investigation of geodesic acoustic mode spatial structure, intermittency, and interaction with turbulence in the DIII-D tokamak
journal, February 2012

Spatial, temporal and spectral structure of the turbulence–flow interaction at the L–H transition
journal, November 2012

Transport by intermittent convection in the boundary of the DIII-D tokamak
journal, November 2001

Structure and properties of the electrostatic fluctuations in the far scrape-off layer region of Alcator C-Mod
journal, August 2001

Empirical Similarity of Frequency Spectra of the Edge-Plasma Fluctuations in Toroidal Magnetic-Confinement Systems
journal, May 1999

Distinguishing Noise from Chaos
journal, October 2007

Permutation Entropy: A Natural Complexity Measure for Time Series
journal, April 2002

Permutation entropy analysis of temperature fluctuations from a basic electron heat transport experiment
journal, June 2013

Chaos in magnetic flux ropes
journal, February 2014

A design retrospective of the DIII-D tokamak
journal, May 2002

A novel, multichannel, comb-frequency Doppler backscatter system
journal, October 2010

Drift waves and transport
journal, April 1999

Chapter 2: Plasma confinement and transport
journal, June 2007

Fractional Brownian Motions, Fractional Noises and Applications
journal, October 1968

Exponential Characteristics of Power Spectral Densities Caused by Chaotic Phenomena
journal, April 1995

Intermittency in nonlinear dynamics and singularities at complex times
journal, May 1981

Exponential decay of power spectra at high frequency and positive Lyapunov exponents
journal, April 1995

Multifractal characterizations of nonstationarity and intermittency in geophysical fields: Observed, retrieved, or simulated
journal, January 1994

Causality and the entropy–complexity plane: Robustness and missing ordinal patterns
journal, January 2012

Exponential frequency spectrum and Lorentzian pulses in magnetized plasmas
journal, December 2008

Observation of exponential spectra and Lorentzian pulses in the TJ-K stellarator
journal, August 2011

Origin of Lorentzian pulses in deterministic chaos
journal, July 2012

Transport properties of a hollow pressure filament in a magnetized plasma
journal, September 2016

Chaotic edge density fluctuations in the Alcator C-Mod tokamak
journal, April 2017

Chaotic edge density fluctuations in the Alcator C-Mod tokamak
journal, April 2017

Stochastic fluctuation and transport of tokamak edge plasmas with the resonant magnetic perturbation field
text, January 2021