skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Scaling of spoke rotation frequency within a Penning discharge

Abstract

A rotating plasma spoke is shown to develop in two-dimensional full-sized kinetic simulations of a Penning discharge cross-section. Electron cross-field transport within the discharge is highly anomalous and correlates strongly with the spoke phase. Similarity between collisional and collisionless simulations demonstrates that ionization is not necessary for spoke formation. Parameter scans with discharge current Id, applied magnetic field strength B, and ion mass mi show that the spoke frequency scales with √eErLn/mi, where Er is the radial electric field, Ln is the gradient length scale, and e is the fundamental charge. As a result, this scaling suggests that the spoke may develop as a non-linear phase of the collisionless Simon-Hoh instability.

Authors:
 [1]; ORCiD logo [2]; ORCiD logo [2]; ORCiD logo [2]; ORCiD logo [3]
  1. Princeton Univ., Princeton, NJ (United States)
  2. Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
  3. Univ. of Saskatchewan, Saskatoon, SK (Canada)
Publication Date:
Research Org.:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC); Univ. of California, Oakland, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1543871
Grant/Contract Number:  
AC02-05CH11231
Resource Type:
Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 25; Journal Issue: 7; Journal ID: ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; Physics

Citation Formats

Powis, Andrew T., Carlsson, Johan A., Kaganovich, Igor D., Raitses, Yevgeny, and Smolyakov, Andrei. Scaling of spoke rotation frequency within a Penning discharge. United States: N. p., 2018. Web. doi:10.1063/1.5038733.
Powis, Andrew T., Carlsson, Johan A., Kaganovich, Igor D., Raitses, Yevgeny, & Smolyakov, Andrei. Scaling of spoke rotation frequency within a Penning discharge. United States. doi:https://doi.org/10.1063/1.5038733
Powis, Andrew T., Carlsson, Johan A., Kaganovich, Igor D., Raitses, Yevgeny, and Smolyakov, Andrei. Thu . "Scaling of spoke rotation frequency within a Penning discharge". United States. doi:https://doi.org/10.1063/1.5038733. https://www.osti.gov/servlets/purl/1543871.
@article{osti_1543871,
title = {Scaling of spoke rotation frequency within a Penning discharge},
author = {Powis, Andrew T. and Carlsson, Johan A. and Kaganovich, Igor D. and Raitses, Yevgeny and Smolyakov, Andrei},
abstractNote = {A rotating plasma spoke is shown to develop in two-dimensional full-sized kinetic simulations of a Penning discharge cross-section. Electron cross-field transport within the discharge is highly anomalous and correlates strongly with the spoke phase. Similarity between collisional and collisionless simulations demonstrates that ionization is not necessary for spoke formation. Parameter scans with discharge current Id, applied magnetic field strength B, and ion mass mi show that the spoke frequency scales with √eErLn/mi, where Er is the radial electric field, Ln is the gradient length scale, and e is the fundamental charge. As a result, this scaling suggests that the spoke may develop as a non-linear phase of the collisionless Simon-Hoh instability.},
doi = {10.1063/1.5038733},
journal = {Physics of Plasmas},
number = 7,
volume = 25,
place = {United States},
year = {2018},
month = {7}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 9 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Plasma potential of a moving ionization zone in DC magnetron sputtering
journal, February 2017

  • Panjan, Matjaž; Anders, André
  • Journal of Applied Physics, Vol. 121, Issue 6
  • DOI: 10.1063/1.4974944

Fully Kinetic Particle-in-Cell Simulations of a Deuterium Gas Puff z Pinch
journal, December 2009


Transition in electron transport in a cylindrical Hall thruster
journal, August 2010

  • Parker, J. B.; Raitses, Y.; Fisch, N. J.
  • Applied Physics Letters, Vol. 97, Issue 9
  • DOI: 10.1063/1.3486164

Effect of magnetic field on spoke behaviour in HiPIMS plasma
journal, February 2018

  • Hnilica, J.; Klein, P.; Šlapanská, M.
  • Journal of Physics D: Applied Physics, Vol. 51, Issue 9
  • DOI: 10.1088/1361-6463/aaa7d3

Feedback control of an azimuthal oscillation in the E  ×  B discharge of Hall thrusters
journal, May 2012

  • Griswold, M. E.; Ellison, C. L.; Raitses, Y.
  • Physics of Plasmas, Vol. 19, Issue 5
  • DOI: 10.1063/1.4719713

Excitation of the modified Simon–Hoh instability in an electron beam produced plasma
journal, June 1993

  • Sakawa, Y.; Joshi, C.; Kaw, P. K.
  • Physics of Fluids B: Plasma Physics, Vol. 5, Issue 6
  • DOI: 10.1063/1.860803

Cross-field electron transport induced by a rotating spoke in a cylindrical Hall thruster
journal, January 2012

  • Ellison, C. L.; Raitses, Y.; Fisch, N. J.
  • Physics of Plasmas, Vol. 19, Issue 1
  • DOI: 10.1063/1.3671920

Drifting localization of ionization runaway: Unraveling the nature of anomalous transport in high power impulse magnetron sputtering
journal, March 2012

  • Anders, André; Ni, Pavel; Rauch, Albert
  • Journal of Applied Physics, Vol. 111, Issue 5
  • DOI: 10.1063/1.3692978

The use of segmented cathodes to determine the spoke current density distribution in high power impulse magnetron sputtering plasmas
journal, April 2015

  • Poolcharuansin, Phitsanu; Estrin, Francis Lockwood; Bradley, James W.
  • Journal of Applied Physics, Vol. 117, Issue 16
  • DOI: 10.1063/1.4918720

SuperLU_DIST: A scalable distributed-memory sparse direct solver for unsymmetric linear systems
journal, June 2003

  • Li, Xiaoye S.; Demmel, James W.
  • ACM Transactions on Mathematical Software, Vol. 29, Issue 2
  • DOI: 10.1145/779359.779361

Validation and benchmarking of two particle-in-cell codes for a glow discharge
journal, November 2016

  • Carlsson, Johan; Khrabrov, Alexander; Kaganovich, Igor
  • Plasma Sources Science and Technology, Vol. 26, Issue 1
  • DOI: 10.1088/0963-0252/26/1/014003

Low frequency azimuthal stability of the ionization region of the Hall thruster discharge. II. Global analysis
journal, October 2015

  • Escobar, D.; Ahedo, E.
  • Physics of Plasmas, Vol. 22, Issue 10
  • DOI: 10.1063/1.4934352

Anomalous Electron Diffusion and Ion Acceleration in a Low-Density Plasma
journal, January 1966


Instabilities in high-power impulse magnetron plasmas: from stochasticity to periodicity
journal, February 2013


Integrated simulation of the generation and transport of proton beams from laser-target interaction
journal, June 2006

  • Welch, D. R.; Rose, D. V.; Cuneo, M. E.
  • Physics of Plasmas, Vol. 13, Issue 6
  • DOI: 10.1063/1.2207587

Total Cross Sections for Ionization and Attachment in Gases by Electron Impact. I. Positive Ionization
journal, September 1965

  • Rapp, Donald; Englander‐Golden, Paula
  • The Journal of Chemical Physics, Vol. 43, Issue 5
  • DOI: 10.1063/1.1696957

Spokes and charged particle transport in HiPIMS magnetrons
journal, February 2013


Three-dimensional calculations for a 4 kA, 3.5 MV, 2 microsecond injector with asymmetric power feed
journal, November 1999

  • Hughes, Thomas P.; Clark, Robert E.; Yu, Simon S.
  • Physical Review Special Topics - Accelerators and Beams, Vol. 2, Issue 11
  • DOI: 10.1103/PhysRevSTAB.2.110401

Rotating Spoke Instabilities in Hall Thrusters
journal, November 2011

  • McDonald, Michael S.; Gallimore, Alec D.
  • IEEE Transactions on Plasma Science, Vol. 39, Issue 11
  • DOI: 10.1109/TPS.2011.2161343

High power impulse magnetron sputtering discharges: Instabilities and plasma self-organization
journal, March 2012

  • Ehiasarian, A. P.; Hecimovic, A.; de los Arcos, T.
  • Applied Physics Letters, Vol. 100, Issue 11
  • DOI: 10.1063/1.3692172

A characterization of plasma fluctuations within a Hall discharge
journal, January 2001

  • Chesta, E.; Lam, C. M.; Meezan, N. B.
  • IEEE Transactions on Plasma Science, Vol. 29, Issue 4
  • DOI: 10.1109/27.940951

Sputtering process in the presence of plasma self-organization
journal, January 2017

  • Hecimovic, A.; Britun, N.; Konstantinidis, S.
  • Applied Physics Letters, Vol. 110, Issue 1
  • DOI: 10.1063/1.4973643

Rotating Instability in Low-Temperature Magnetized Plasmas
journal, October 2013


Global Stability Analysis of Azimuthal Oscillations in Hall Thrusters
journal, January 2015


Numerical analysis of azimuthal rotating spokes in a crossed-field discharge plasma
journal, March 2018

  • Kawashima, R.; Hara, K.; Komurasaki, K.
  • Plasma Sources Science and Technology, Vol. 27, Issue 3
  • DOI: 10.1088/1361-6595/aab39c

Long wavelength gradient drift instability in Hall plasma devices. II. Applications
journal, May 2013

  • Frias, Winston; Smolyakov, Andrei I.; Kaganovich, Igor D.
  • Physics of Plasmas, Vol. 20, Issue 5
  • DOI: 10.1063/1.4804281

Spoke transitions in HiPIMS discharges
journal, June 2015


Simulation techniques for heavy ion fusion chamber transport
journal, May 2001

  • Welch, D. R.; Rose, D. V.; Oliver, B. V.
  • Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 464, Issue 1-3
  • DOI: 10.1016/S0168-9002(01)00024-9

Ultrahigh Speed Images of Hall Thruster Azimuthal Instabilities
journal, October 2014

  • Liu, David; Huffman, Richard E.; Branam, Richard D.
  • IEEE Transactions on Plasma Science, Vol. 42, Issue 10
  • DOI: 10.1109/TPS.2014.2325799

Parametric investigations of a nonconventional Hall thruster
journal, May 2001

  • Raitses, Y.; Fisch, N. J.
  • Physics of Plasmas, Vol. 8, Issue 5
  • DOI: 10.1063/1.1355318

Physics of Hall-effect thruster by particle model
conference, January 2012

  • Taccogna, Francesco; Minelli, Pierpaolo; Capitelli, Mario
  • 28TH INTERNATIONAL SYMPOSIUM ON RAREFIED GAS DYNAMICS 2012, AIP Conference Proceedings
  • DOI: 10.1063/1.4769702

Direct observation of spoke evolution in magnetron sputtering
journal, August 2017

  • Anders, André; Yang, Yuchen
  • Applied Physics Letters, Vol. 111, Issue 6
  • DOI: 10.1063/1.4994192

Azimuthal Spoke Propagation in Hall Effect Thrusters
journal, January 2015

  • Sekerak, Michael J.; Longmier, Benjamin W.; Gallimore, Alec D.
  • IEEE Transactions on Plasma Science, Vol. 43, Issue 1
  • DOI: 10.1109/TPS.2014.2355223

Particle-in-cell simulations of anomalous transport in a Penning discharge
journal, June 2018

  • Carlsson, Johan; Kaganovich, Igor; Powis, Andrew
  • Physics of Plasmas, Vol. 25, Issue 6
  • DOI: 10.1063/1.5017467

Turbulent Diffusion in a Penning-Type Discharge
journal, January 1966


Plasma oscillations in Hall thrusters
journal, January 2001


PETSc Users Manual Revision 3.8
report, September 2017

  • Balay, S.; Abhyankar, S.; Adams, M.
  • ANL--95/11 Rev 3.8
  • DOI: 10.2172/1409218

    Works referencing / citing this record:

    Boundary-induced effect on the spoke-like activity in E  ×  B plasma
    journal, May 2019

    • Rodríguez, E.; Skoutnev, V.; Raitses, Y.
    • Physics of Plasmas, Vol. 26, Issue 5
    • DOI: 10.1063/1.5092702

    Self-Organization, Structures, and Anomalous Transport in Turbulent Partially Magnetized Plasmas with Crossed Electric and Magnetic Fields
    journal, May 2019


    Micro instabilities and rotating spokes in the near-anode region of partially magnetized plasmas
    journal, July 2019


    Fast sweeping probe system for characterization of spokes in E × B discharges
    journal, December 2018

    • Skoutnev, V.; Dourbal, P.; Rodríguez, E.
    • Review of Scientific Instruments, Vol. 89, Issue 12
    • DOI: 10.1063/1.5053677

    An overview of discharge plasma modeling for Hall effect thrusters
    journal, April 2019