Scaling of spoke rotation frequency within a Penning discharge

Powis, Andrew T.; Carlsson, Johan A.; Kaganovich, Igor D.; Raitses, Yevgeny; Smolyakov, Andrei

doi:10.1063/1.5038733

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 I_d, applied magnetic field strength B, and ion mass m_i show that the spoke frequency scales with √eE_rL_n/m_i, where E_r is the radial electric field, L_n 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:

Powis, Andrew T. ^[1];

^[2];

^[3]

Princeton Univ., Princeton, NJ (United States)
Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
Univ. of Saskatchewan, Saskatoon, SK (Canada)

Publication Date:: 2018-07-12

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.

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                    Powis, Andrew T., Carlsson, Johan A., Kaganovich, Igor D., Raitses, Yevgeny, & Smolyakov, Andrei. Scaling of spoke rotation frequency within a Penning discharge.  United States.  https://doi.org/10.1063/1.5038733

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                    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.  https://doi.org/10.1063/1.5038733.  https://www.osti.gov/servlets/purl/1543871.

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@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}

}

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Works referencing / citing this record:

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

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

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

Boeuf, J. P.
Physics of Plasmas, Vol. 26, Issue 7
DOI: 10.1063/1.5102162

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Hara, Kentaro
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Self-Organization, Structures, and Anomalous Transport in Turbulent Partially Magnetized Plasmas with Crossed Electric and Magnetic Fields
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Koshkarov, Oleksandr; Smolyakov, Andrei; Raitses, Yevgeny
Physical Review Letters, Vol. 122, Issue 18
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Boundary-induced effect on the spoke-like activity in ExB plasma
text, January 2019

Rodriguez, Eduardo; Skoutnev, Valentin; Raitses, Yevgeny
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Title: Scaling of spoke rotation frequency within a Penning discharge

Abstract

Citation Formats

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

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

On the origin of the solar system. By H. Alfvén. International series of monographs on physics, Oxford (Clarendon Press), 1954. Pp. viii, 194; 47 Figs., 15 tables journal, October 1954

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

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

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

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

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

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

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

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

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

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

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

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

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

Rotating Spoke Instabilities in Hall Thrusters journal, November 2011

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

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

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

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

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

Rotating structures in low temperature magnetized plasmasâ€”insight from particle simulations journal, December 2014

Spoke transitions in HiPIMS discharges journal, June 2015

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

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

Parametric investigations of a nonconventional Hall thruster journal, May 2001

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

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

Azimuthal Spoke Propagation in Hall Effect Thrusters journal, January 2015

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

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

Plasma oscillations in Hall thrusters journal, January 2001

Fluid theory and simulations of instabilities, turbulent transport and coherent structures in partially-magnetized plasmas of $\mathbf{E}\times \mathbf{B}$ discharges journal, November 2016

PETSc Users Manual Revision 3.8 report, September 2017

Validation and Benchmarking of Two Particle-in-Cell Codes for a Glow Discharge conference, May 2017

Particle-in-cell simulations of anomalous transport in a Penning discharge text, January 2017

Numerical analysis of azimuthal rotating spokes in a crossed-field discharge plasma text, January 2017

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

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

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

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

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

Boundary-induced effect on the spoke-like activity in ExB plasma text, January 2019

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

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

On the origin of the solar system. By H. Alfvén. International series of monographs on physics, Oxford (Clarendon Press), 1954. Pp. viii, 194; 47 Figs., 15 tables
journal, October 1954

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

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

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

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

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

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

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

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

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

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

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

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

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

Rotating Spoke Instabilities in Hall Thrusters
journal, November 2011

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

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

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

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

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

Rotating structures in low temperature magnetized plasmasâ€”insight from particle simulations
journal, December 2014

Spoke transitions in HiPIMS discharges
journal, June 2015

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

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

Parametric investigations of a nonconventional Hall thruster
journal, May 2001

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

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

Azimuthal Spoke Propagation in Hall Effect Thrusters
journal, January 2015

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

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

Plasma oscillations in Hall thrusters
journal, January 2001

Fluid theory and simulations of instabilities, turbulent transport and coherent structures in partially-magnetized plasmas of $\mathbf{E}\times \mathbf{B}$ discharges
journal, November 2016

PETSc Users Manual Revision 3.8
report, September 2017

Validation and Benchmarking of Two Particle-in-Cell Codes for a Glow Discharge
conference, May 2017

Particle-in-cell simulations of anomalous transport in a Penning discharge
text, January 2017

Numerical analysis of azimuthal rotating spokes in a crossed-field discharge plasma
text, January 2017

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

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

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

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

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

Boundary-induced effect on the spoke-like activity in ExB plasma
text, January 2019