Nonlinear ohmic dissipation in axisymmetric DC and RF driven rotating plasmas

Rax, J. M.; Kolmes, E. J.; Ochs, I. E.; Fisch, N. J.; Gueroult, R.

doi:10.1063/1.5064520

Nonlinear ohmic dissipation in axisymmetric DC and RF driven rotating plasmas

Journal Article · Wed Jan 09 00:00:00 EST 2019 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.5064520· OSTI ID:1610362

^[1]; ^[2]; ^[2]; ^[2]; ^[3]

Univ. of Paris XI & Ecole Polytechnique, Palaiseau (France); DOE/OSTI
Princeton Univ., Princeton, NJ (United States)
Univ. de Toulouse (France)

An axisymmetric fully ionized plasma rotates around its axis when a charge separation between magnetic surfaces is produced from DC fields or RF waves. On each magnetic surface, both electrons and ions obey the isorotation law and perform an azimuthal E cross B rotation at the same angular velocity. When Coulomb collisions are taken into account, such a flow displays no Ohmic current short circuiting of the charge separation and thus no linear dissipation. A nonlinear Ohmic response appears when inertial effects are considered, providing a dissipative relaxation of the charge separation between the magnetic surfaces. This nonlinear conductivity results from an interplay between Coriolis, centrifugal, and electron-ion collisional friction forces. This phenomenon is identified, described, and analyzed. Finally, both the quality factor of angular momentum storage and the efficiency of wave driven angular momentum generation are calculated and shown to be independent of the details of the charge separation processes.

View Accepted Manuscript (DOE)

Research Organization:: Krell Institute, Ames, IA (United States); Princeton Univ., NJ (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: FG02-97ER25308; SC0016072

OSTI ID:: 1610362

Journal Information:: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 1 Vol. 26; ISSN 1070-664X

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

References (36)

Magnetic-field generation and electron acceleration in relativistic laser channel Kostyukov, I. Yu.; Shvets, G.; Fisch, N. J. Physics of Plasmas, Vol. 9, Issue 2 https://doi.org/10.1063/1.1430436	journal	February 2002
Band gap ion mass filter Ohkawa, T.; Miller, R. L. Physics of Plasmas, Vol. 9, Issue 12 https://doi.org/10.1063/1.1523930	journal	December 2002
Some Toroidal Equilibria for Plasma under Magnetoelectric Confinement Stix, Thomas H. Physics of Fluids, Vol. 14, Issue 3 https://doi.org/10.1063/1.1693490	journal	January 1971
Wave–particle interactions in rotating mirrors Fetterman, Abraham J.; Fisch, Nathaniel J. Physics of Plasmas, Vol. 18, Issue 5 https://doi.org/10.1063/1.3567417	journal	May 2011
The magnetic centrifugal mass filter Fetterman, Abraham J.; Fisch, Nathaniel J. Physics of Plasmas, Vol. 18, Issue 9 https://doi.org/10.1063/1.3631793	journal	September 2011
The double well mass filter Gueroult, Renaud; Rax, Jean-Marcel; Fisch, Nathaniel J. Physics of Plasmas, Vol. 21, Issue 2 https://doi.org/10.1063/1.4864325	journal	February 2014
Breakdown of the Brillouin limit and classical fluxes in rotating collisional plasmas Rax, J. M.; Fruchtman, A.; Gueroult, R. Physics of Plasmas, Vol. 22, Issue 9 https://doi.org/10.1063/1.4929791	journal	September 2015
Efficiency of wave-driven rigid body rotation toroidal confinement Rax, J. M.; Gueroult, R.; Fisch, N. J. Physics of Plasmas, Vol. 24, Issue 3 https://doi.org/10.1063/1.4977919	journal	March 2017
Strategies for advantageous differential transport of ions in magnetic fusion devices Kolmes, E. J.; Ochs, I. E.; Fisch, N. J. Physics of Plasmas, Vol. 25, Issue 3 https://doi.org/10.1063/1.5023931	journal	March 2018
Kinetic theory of transport driven current in centrally fuelled plasmas Rax, J. M.; Robiche, J.; Gueroult, R. Physics of Plasmas, Vol. 25, Issue 7 https://doi.org/10.1063/1.5030536	journal	July 2018
Rigid rotor equilibria of multifluid, neutral plasma columns in crossed electric and magnetic fields Prasad, Rahul R.; Krishnan, Mahadevan Physics of Fluids, Vol. 30, Issue 11 https://doi.org/10.1063/1.866430	journal	January 1987
Physics of pulsar magnetospheres Beskin, Vasilii S.; Gurevich, Aleksandr V.; Istomin, Yakov N. Soviet Physics Uspekhi, Vol. 29, Issue 10 https://doi.org/10.1070/PU1986v029n10ABEH003528	journal	October 1986
Axisymmetric stationary flows in compact astrophysical objects Beskin, Vasilii S. Physics-Uspekhi, Vol. 40, Issue 7 https://doi.org/10.1070/PU1997v040n07ABEH000250	journal	July 1997
Equations of Motion for an Ideal Plasma. Spitzer, Lyman, Jr. The Astrophysical Journal, Vol. 116 https://doi.org/10.1086/145614	journal	September 1952
Pulsar Electrodynamics Goldreich, Peter; Julian, William H. The Astrophysical Journal, Vol. 157 https://doi.org/10.1086/150119	journal	August 1969
Pulsar Electrodynamics. II Julian, William H. The Astrophysical Journal, Vol. 183 https://doi.org/10.1086/152282	journal	July 1973
Rotating Plasmas Lehnert, B. Nuclear Fusion, Vol. 11, Issue 5 https://doi.org/10.1088/0029-5515/11/5/010	journal	October 1971
Problems of a thermonuclear reactor with a rotating plasma Bekhtenev, A. A.; Volosov, V. I.; Pal'chikov, V. E. Nuclear Fusion, Vol. 20, Issue 5 https://doi.org/10.1088/0029-5515/20/5/007	journal	May 1980
Current drive by lower hybrid waves in the presence of energetic alpha particles Fisch, N. J.; Rax, J. -M Nuclear Fusion, Vol. 32, Issue 4 https://doi.org/10.1088/0029-5515/32/4/I02	journal	April 1992
The Non-uniform Rotation of the Sun and its Magnetic Field Ferraro, V. C. A. Monthly Notices of the Royal Astronomical Society, Vol. 97, Issue 6 https://doi.org/10.1093/mnras/97.6.458	journal	April 1937
A Theorem of Larmor and Its Importance for Electrons in Magnetic Fields Brillouin, Leon Physical Review, Vol. 67, Issue 7-8 https://doi.org/10.1103/PhysRev.67.260	journal	April 1945
Magnetic field generation through angular momentum exchange between circularly polarized radiation and charged particles Shvets, G.; Fisch, N. J.; Rax, J. -M. Physical Review E, Vol. 65, Issue 4 https://doi.org/10.1103/PhysRevE.65.046403	journal	March 2002
α Channeling in a Rotating Plasma Fetterman, Abraham J.; Fisch, Nathaniel J. Physical Review Letters, Vol. 101, Issue 20 https://doi.org/10.1103/PhysRevLett.101.205003	journal	November 2008
Angular-Momentum Evolution in Laser-Plasma Accelerators Thaury, C.; Guillaume, E.; Corde, S. Physical Review Letters, Vol. 111, Issue 13 https://doi.org/10.1103/PhysRevLett.111.135002	journal	September 2013
Vlasov Description of an Electron Gas in a Magnetic Field Davidson, Ronald C.; Krall, Nicholas A. Physical Review Letters, Vol. 22, Issue 16 https://doi.org/10.1103/PhysRevLett.22.833	journal	April 1969
Toroidal Fusion Plasma with Powerful Negative Bias Stix, Thomas H. Physical Review Letters, Vol. 24, Issue 4 https://doi.org/10.1103/PhysRevLett.24.135	journal	January 1970
Confining a Tokamak Plasma with rf-Driven Currents Fisch, Nathaniel J. Physical Review Letters, Vol. 41, Issue 13 https://doi.org/10.1103/PhysRevLett.41.873	journal	September 1978
Interaction of energetic alpha particles with intense lower hybrid waves Fisch, Nathaniel J.; Rax, Jean-Marcel Physical Review Letters, Vol. 69, Issue 4 https://doi.org/10.1103/PhysRevLett.69.612	journal	July 1992
Review of High-Temperature Rotating-Plasma Experiments Wilcox, John M. Reviews of Modern Physics, Vol. 31, Issue 4 https://doi.org/10.1103/RevModPhys.31.1045	journal	October 1959
Theory of current drive in plasmas Fisch, Nathaniel J. Reviews of Modern Physics, Vol. 59, Issue 1 https://doi.org/10.1103/RevModPhys.59.175	journal	January 1987
Confining a Tokamak Plasma with rf-Driven Currents. Fisch, Nathaniel J. Physical Review Letters, Vol. 42, Issue 6 https://doi.org/10.1103/physrevlett.42.410.2	journal	February 1979
Physics of Nonneutral Plasmas Davidson, Ronald C. https://doi.org/10.1142/p251	book	October 2001
Initial Trial of Plasma Mass Separation by Crossed Electric and Magnetic Fields Shinohara, Shunjiro; Horii, Seiichi Japanese Journal of Applied Physics, Vol. 46, Issue 7A https://doi.org/10.1143/JJAP.46.4276	journal	July 2007
Axisymmetric stationary flows in compact astrophysical objects [Осесимметричные стационарные течения в компактных астрофизических объектах] Beskin, Vasilii S. Uspekhi Fizicheskih Nauk, Vol. 167, Issue 7 https://doi.org/10.3367/ufnr.0167.199707a.0689	journal	January 1997
Strategies for Advantageous Differential Transport of Ions in Magnetic Fusion Devices Kolmes, E. J.; Ochs, I. E.; Fisch, N. J. arXiv https://doi.org/10.48550/arxiv.1801.06591	text	January 2018
Kinetic Theory of Transport Driven Current in Centrally fuelled Plasmas Rax, J. M.; Robiche, J.; Gueroult, R. arXiv https://doi.org/10.48550/arxiv.1803.08451	text	January 2018

Cited By (7)

Maximum-entropy states for magnetized ion transport Kolmes, E. J.; Ochs, I. E.; Mlodik, M. E. Physics Letters A, Vol. 384, Issue 13 https://doi.org/10.1016/j.physleta.2020.126262	journal	May 2020
E × B configurations for high-throughput plasma mass separation: An outlook on possibilities and challenges Gueroult, Renaud; Zweben, Stewart J.; Fisch, Nathaniel J. Physics of Plasmas, Vol. 26, Issue 4 https://doi.org/10.1063/1.5083229	journal	April 2019
Radial current and rotation profile tailoring in highly ionized linear plasma devices Kolmes, E. J.; Ochs, I. E.; Mlodik, M. E. Physics of Plasmas, Vol. 26, Issue 8 https://doi.org/10.1063/1.5115788	journal	August 2019
A necessary condition for perpendicular electric field control in magnetized plasmas Gueroult, Renaud; Rax, Jean-Marcel; Fisch, Nathaniel J. Physics of Plasmas, Vol. 26, Issue 12 https://doi.org/10.1063/1.5126083	journal	December 2019
Geometric phase in Brillouin flows Rax, Jean-Marcel; Gueroult, Renaud Physics of Plasmas, Vol. 26, Issue 12 https://doi.org/10.1063/1.5127799	journal	December 2019
Negative electric potential in a cylindrical plasma column with magnetized electrons Liziakin, G.; Gavrikov, A.; Smirnov, V. Plasma Sources Science and Technology, Vol. 29, Issue 1 https://doi.org/10.1088/1361-6595/ab5ad5	journal	January 2020
Radial Current and Rotation Profile Tailoring in Highly Ionized Linear Plasma Devices Kolmes, E. J.; Ochs, I. E.; Mlodik, M. E. arXiv https://doi.org/10.48550/arxiv.1906.08391	text	January 2019

Similar Records

Rotationally driven drift modes in the tandem mirror

Journal Article · Sat Dec 31 23:00:00 EST 1983 · IFS Newsl.; (United States) · OSTI ID:5398898

Neoclassical ion transport in rotating axisymmetric plasmas

Journal Article · Tue Oct 01 00:00:00 EDT 1985 · Phys. Fluids; (United States) · OSTI ID:5216890

Ohmic Dissipation in Mini-Neptunes

Journal Article · Fri Sep 01 00:00:00 EDT 2017 · Astrophysical Journal · OSTI ID:22875864

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
physics

Nonlinear ohmic dissipation in axisymmetric DC and RF driven rotating plasmas

Citation Formats

References (36)

Cited By (7)

Similar Records

Related Subjects