Particle-in-cell simulations of anomalous transport in a Penning discharge

Carlsson, Johan; Kaganovich, Igor; Powis, Andrew; Raitses, Yevgeny; Romadanov, Ivan; Smolyakov, Andrei

doi:10.1063/1.5017467

Title: Particle-in-cell simulations of anomalous transport in a Penning discharge

Abstract

Electrostatic particle-in-cell simulations of a Penning discharge are performed in order to investigate azimuthally asymmetric, spoke-like structures previously observed in experiments. Two-dimensional simulations show that for Penning-discharge conditions, a persistent nonlinear spoke-like structure forms readily and rotates in the direction of E × B and electron diamagnetic drifts. The azimuthal velocity is within about a factor of 2 of the ion acoustic speed. The spoke frequency follows the experimentally observed scaling with ion mass, which indicates the importance of ion inertia in spoke formation. The spoke provides enhanced (anomalous) radial electron transport, and the effective cross-field conductivity is several times larger than the classical (collisional) value. The level of anomalous current obtained in the simulations is in good agreement with the experimental data. Furthermore, the rotating spoke channels most of the radial current, observable by an edge probe as short pulses.

Authors:

^[1];

^[2]; Powis, Andrew ^[3];

^[2];

^[4];

^[4]

Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States); Crow Radio and Plasma Science, Princeton, NJ (United States)
Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
Princeton Univ., Princeton, NJ (United States)
Univ. of Saskatchewan, Saskatoon, SK (Canada)

Publication Date:: Tue Apr 17 00:00:00 EDT 2018

Research Org.:: Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 1464518

Grant/Contract Number:: FA9550-17-1- 0010

Resource Type:: Accepted Manuscript

Journal Name:: Physics of Plasmas

Additional Journal Information:: Journal Volume: 25; Journal Issue: 6; 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

Citation Formats


                    Carlsson, Johan, Kaganovich, Igor, Powis, Andrew, Raitses, Yevgeny, Romadanov, Ivan, and Smolyakov, Andrei. Particle-in-cell simulations of anomalous transport in a Penning discharge.  United States: N. p., 2018. 
Web.  doi:10.1063/1.5017467.

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                    Carlsson, Johan, Kaganovich, Igor, Powis, Andrew, Raitses, Yevgeny, Romadanov, Ivan, & Smolyakov, Andrei. Particle-in-cell simulations of anomalous transport in a Penning discharge.  United States.  https://doi.org/10.1063/1.5017467

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                    Carlsson, Johan, Kaganovich, Igor, Powis, Andrew, Raitses, Yevgeny, Romadanov, Ivan, and Smolyakov, Andrei. Tue .  
"Particle-in-cell simulations of anomalous transport in a Penning discharge".  United States.  https://doi.org/10.1063/1.5017467.  https://www.osti.gov/servlets/purl/1464518.

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@article{osti_1464518,

  title        = {Particle-in-cell simulations of anomalous transport in a Penning discharge},

  author       = {Carlsson, Johan and Kaganovich, Igor and Powis, Andrew and Raitses, Yevgeny and Romadanov, Ivan and Smolyakov, Andrei},

  abstractNote = {Electrostatic particle-in-cell simulations of a Penning discharge are performed in order to investigate azimuthally asymmetric, spoke-like structures previously observed in experiments. Two-dimensional simulations show that for Penning-discharge conditions, a persistent nonlinear spoke-like structure forms readily and rotates in the direction of E × B and electron diamagnetic drifts. The azimuthal velocity is within about a factor of 2 of the ion acoustic speed. The spoke frequency follows the experimentally observed scaling with ion mass, which indicates the importance of ion inertia in spoke formation. The spoke provides enhanced (anomalous) radial electron transport, and the effective cross-field conductivity is several times larger than the classical (collisional) value. The level of anomalous current obtained in the simulations is in good agreement with the experimental data. Furthermore, the rotating spoke channels most of the radial current, observable by an edge probe as short pulses.},

  doi          = {10.1063/1.5017467},

  journal      = {Physics of Plasmas},

  number       = 6,

  volume       = 25,

  place        = {United States},

  year         = {Tue Apr 17 00:00:00 EDT 2018},

  month        = {Tue Apr 17 00:00:00 EDT 2018}

}

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Works referenced in this record:

High power impulse magnetron sputtering discharge
journal, May 2012

Gudmundsson, J. T.; Brenning, N.; Lundin, D.
Journal of Vacuum Science & Technology A: Vacuum, Surfaces, and Films, Vol. 30, Issue 3
DOI: 10.1116/1.3691832

Tutorial: Physics and modeling of Hall thrusters
journal, January 2017

Boeuf, Jean-Pierre
Journal of Applied Physics, Vol. 121, Issue 1
DOI: 10.1063/1.4972269

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

Boeuf, Jean-Pierre; Chaudhury, Bhaskar
Physical Review Letters, Vol. 111, Issue 15
DOI: 10.1103/PhysRevLett.111.155005

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

Boeuf, Jean-Pierre
Frontiers in Physics, Vol. 2
DOI: 10.3389/fphy.2014.00074

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

Direct observation of a cross-field current-carrying plasma rotating around an unstable magnetized plasma column
journal, February 2009

Jaeger, S.; Pierre, Th.; Rebont, C.
Physics of Plasmas, Vol. 16, Issue 2
DOI: 10.1063/1.3076931

Formation of spiral structures and radial convection in the edge region of a magnetized rotating plasma
journal, January 2005

Barni, R.; Riccardi, C.; Pierre, Th
New Journal of Physics, Vol. 7
DOI: 10.1088/1367-2630/7/1/225

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

End‐Hall ion source
journal, July 1987

Kaufman, Harold R.; Robinson, Raymond S.; Seddon, Richard Ian
Journal of Vacuum Science & Technology A: Vacuum, Surfaces, and Films, Vol. 5, Issue 4
DOI: 10.1116/1.574924

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

Anomalous resistivity and heating in current-driven plasma thrusters
journal, May 1999

Choueiri, E. Y.
Physics of Plasmas, Vol. 6, Issue 5
DOI: 10.1063/1.873481

Spatiotemporal structure of low frequency waves in a magnetized plasma device
journal, July 2003

Matsukuma, M.; Pierre, Th.; Escarguel, A.
Physics Letters A, Vol. 314, Issue 1-2
DOI: 10.1016/S0375-9601(03)00865-X

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

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

Janes, G. S.
Physics of Fluids, Vol. 9, Issue 6
DOI: 10.1063/1.1761810

Characterisation of coherent rotating modes in a magnetised plasma column using a mono-sensor tomography diagnostic
journal, October 2016

David, P.; Escarguel, A.; Camenen, Y.
Physics of Plasmas, Vol. 23, Issue 10
DOI: 10.1063/1.4964905

Instability of a Partially Ionized Plasma in Crossed Electric and Magnetic Fields
journal, January 1963

Simon, Albert
Physics of Fluids, Vol. 6, Issue 3
DOI: 10.1063/1.1706743

Structure of nonlocal gradient-drift instabilities in Hall E × B discharges
journal, December 2016

Romadanov, Ivan; Smolyakov, Andrei; Raitses, Yevgeny
Physics of Plasmas, Vol. 23, Issue 12
DOI: 10.1063/1.4971816

Instability of Penning-Type Discharges
journal, January 1963

Hoh, F. C.
Physics of Fluids, Vol. 6, Issue 8
DOI: 10.1063/1.1706878

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

Growth and nonlinear evolution of the modified Simon-Hoh instability in an electron beam-produced plasma
journal, May 2000

Sakawa, Y.; Joshi, C.
Physics of Plasmas, Vol. 7, Issue 5
DOI: 10.1063/1.873998

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

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

Thomassen, K. I.
Physics of Fluids, Vol. 9, Issue 9
DOI: 10.1063/1.1761940

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

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

Smolyakov, A. I.; Chapurin, O.; Frias, W.
Plasma Physics and Controlled Fusion, Vol. 59, Issue 1
DOI: 10.1088/0741-3335/59/1/014041

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

Carlsson, J.; Khrabrov, A.; Kaganovich, I.
2017 IEEE International Conference on Plasma Science (ICOPS)
DOI: 10.1109/plasma.2017.8496256

Direct Observation of a Cross-Field Current-Carrying Plasma Rotating Around an Unstable Magnetized Plasma Column
text, January 2008

Jaeger, S.; Pierre, Th.
arXiv
DOI: 10.48550/arxiv.0810.2077

Works referencing / citing this record:

Scaling of spoke rotation frequency within a Penning discharge
journal, July 2018

Powis, Andrew T.; Carlsson, Johan A.; Kaganovich, Igor D.
Physics of Plasmas, Vol. 25, Issue 7
DOI: 10.1063/1.5038733

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

Plasma formation and cross-field electron transport induced by azimuthal neutral inhomogeneity in an anode layer Hall thruster
journal, July 2019

Bak, Junhwi; Kawashima, Rei; Komurasaki, Kimiya
Physics of Plasmas, Vol. 26, Issue 7
DOI: 10.1063/1.5090931

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

Controlling azimuthal spoke modes in a cylindrical Hall thruster using a segmented anode
journal, October 2018

Shi, Yuan; Raitses, Yevgeny; Diallo, Ahmed
Plasma Sources Science and Technology, Vol. 27, Issue 10
DOI: 10.1088/1361-6595/aae42b

Control of Coherent Structures via External Drive of the Breathing Mode
journal, February 2019

Romadanov, I.; Raitses, Y.; Smolyakov, A.
Plasma Physics Reports, Vol. 45, Issue 2
DOI: 10.1134/s1063780x19020156

Scaling of Spoke Rotation Frequency within a Penning Discharge
text, January 2018

Powis, Andrew T.; Carlsson, Johan A.; Kaganovich, Igor D.
arXiv
DOI: 10.48550/arxiv.1805.04438

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

Rodriguez, Eduardo; Skoutnev, Valentin; Raitses, Yevgeny
arXiv
DOI: 10.48550/arxiv.1903.01374

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Title: Particle-in-cell simulations of anomalous transport in a Penning discharge

Abstract

Citation Formats

High power impulse magnetron sputtering discharge journal, May 2012

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Formation of spiral structures and radial convection in the edge region of a magnetized rotating plasma journal, January 2005

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Anomalous resistivity and heating in current-driven plasma thrusters journal, May 1999

Spatiotemporal structure of low frequency waves in a magnetized plasma device journal, July 2003

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

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

Characterisation of coherent rotating modes in a magnetised plasma column using a mono-sensor tomography diagnostic journal, October 2016

Instability of a Partially Ionized Plasma in Crossed Electric and Magnetic Fields journal, January 1963

Structure of nonlocal gradient-drift instabilities in Hall E × B discharges journal, December 2016

Instability of Penning-Type Discharges journal, January 1963

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

Growth and nonlinear evolution of the modified Simon-Hoh instability in an electron beam-produced plasma journal, May 2000

Azimuthal Spoke Propagation in Hall Effect Thrusters journal, January 2015

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

Rotating Spoke Instabilities in Hall Thrusters journal, November 2011

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

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Scaling of spoke rotation frequency within a Penning discharge journal, July 2018

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

Plasma formation and cross-field electron transport induced by azimuthal neutral inhomogeneity in an anode layer Hall thruster journal, July 2019

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

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

High power impulse magnetron sputtering discharge
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Tutorial: Physics and modeling of Hall thrusters
journal, January 2017

Rotating Instability in Low-Temperature Magnetized Plasmas
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Rotating structures in low temperature magnetized plasmasâ€”insight from particle simulations
journal, December 2014

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

Direct observation of a cross-field current-carrying plasma rotating around an unstable magnetized plasma column
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Formation of spiral structures and radial convection in the edge region of a magnetized rotating plasma
journal, January 2005

Excitation of the modified Simon–Hoh instability in an electron beam produced plasma
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Cross-field electron transport induced by a rotating spoke in a cylindrical Hall thruster
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Anomalous resistivity and heating in current-driven plasma thrusters
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Spatiotemporal structure of low frequency waves in a magnetized plasma device
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