Current channel evolution in ideal Z pinch for general velocity profiles

Ochs, I. E.; Stollberg, C.; Kroupp, E.; Maron, Y.; Fruchtman, A.; Kolmes, E. J.; Mlodik, M. E.; Fisch, N. J.

doi:10.1063/1.5118668

Title: Current channel evolution in ideal Z pinch for general velocity profiles

Journal Article · Thu Dec 12 00:00:00 UTC 2019 · Physics of Plasmas

DOI: https://doi.org/10.1063/1.5118668 · OSTI ID:1638053

^[1];

^[2];

^[2]; Maron, Y. ^[2];

^[3];

^[4];

^[4]

Princeton Univ., NJ (United States); Cornell University - Princeton Unversity
Weizmann Inst. of Science, Rehovot (Israel)
Holon Inst. of Technology, Holon (Israel)
Princeton Univ., NJ (United States)

Recent diagnostic advances in gas-puff Z pinches at the Weizmann Institute for the first time allow the reconstruction of the current flow as a function of time and radius. These experiments show an unexpected radially-outward motion of the current channel, as the plasma moves radially-inward. In this paper, a mechanism that could explain this current evolution is described. Here, we examine the impact of advection on the distribution of current in a cylindrically symmetric plasma. In the case of metric compression, |v_r| ∝ r, the current enclosed between each plasma fluid element and the axis is conserved, and so the current profile maintains its shape. We show that for more general velocity profiles, this simple behavior quickly breaks down, allowing for non-conservation of current in a compressing conductor, rapid redistribution of the current density, and even for the formation of reverse currents. In particular, a specific inward radial velocity profile is shown to result in radially-outward motion of the current channel, recovering the surprising current evolution discovered at the Weizmann Institute.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: Princeton Univ., NJ (United States)

Sponsoring Organization:: NSF; USDOE; USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: FG02-97ER25308; NA0003764

OSTI ID:: 1638053

Journal Information:: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 12 Vol. 26; ISSN 1070-664X

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

Country of Publication:: United States

Language:: English

References (19)

Principles of Plasma Discharges and Materials Processing Lieberman, Michael A.; Lichtenberg, Allan J. https://doi.org/10.1002/0471724254	book	January 2005
Determination of magnetic fields based on the Zeeman effect in regimes inaccessible by Zeeman-splitting spectroscopy Doron, R.; Mikitchuk, D.; Stollberg, C. High Energy Density Physics, Vol. 10 https://doi.org/10.1016/j.hedp.2013.10.004	journal	March 2014
Formation of a sheared flow Z pinch Golingo, R. P.; Shumlak, U.; Nelson, B. A. Physics of Plasmas, Vol. 12, Issue 6 https://doi.org/10.1063/1.1928249	journal	June 2005
Note: Zeeman splitting measurements in a high-temperature plasma Golingo, R. P.; Shumlak, U.; Den Hartog, D. J. Review of Scientific Instruments, Vol. 81, Issue 12 https://doi.org/10.1063/1.3509400	journal	December 2010
Effective versus ion thermal temperatures in the Weizmann Ne Z-pinch: Modeling and stagnation physics Giuliani, J. L.; Thornhill, J. W.; Kroupp, E. Physics of Plasmas, Vol. 21, Issue 3 https://doi.org/10.1063/1.4865223	journal	March 2014
Penetration and expulsion of magnetic fields in plasmas due to the Hall field Fruchtman, Amnon Physics of Fluids B: Plasma Physics, Vol. 3, Issue 8 https://doi.org/10.1063/1.859659	journal	August 1991
Analysis of anomalous resistivity during the conduction phase of the plasma erosion opening switch Kulsrud, R. M.; Ottinger, P. F.; Grossmann, J. M. Physics of Fluids, Vol. 31, Issue 6 https://doi.org/10.1063/1.866662	journal	January 1988
Spectroscopic determination of the magnetic-field distribution in an imploding plasma Davara, G.; Gregorian, L.; Kroupp, E. Physics of Plasmas, Vol. 5, Issue 4 https://doi.org/10.1063/1.872637	journal	April 1998
The Inverse Skin Effect Haines, M. G. Proceedings of the Physical Society, Vol. 74, Issue 5 https://doi.org/10.1088/0370-1328/74/5/310	journal	November 1959
The nature of the inverse skin effect Culverwell, I. D.; Coppins, M.; Haines, M. G. Plasma Physics and Controlled Fusion, Vol. 31, Issue 3 https://doi.org/10.1088/0741-3335/31/3/008	journal	March 1989
A review of the dense Z -pinch Haines, M. G. Plasma Physics and Controlled Fusion, Vol. 53, Issue 9 https://doi.org/10.1088/0741-3335/53/9/093001	journal	June 2011
Measurements of the spatial magnetic field distribution in a z-pinch plasma throughout the stagnation process Rosenzweig, G.; Kroupp, E.; Fisher, A. Journal of Instrumentation, Vol. 12, Issue 09 https://doi.org/10.1088/1748-0221/12/09/P09004	journal	September 2017
Doppler measurement of implosion velocity in fast Z -pinch x-ray sources Jones, B.; Jennings, C. A.; Bailey, J. E. Physical Review E, Vol. 84, Issue 5 https://doi.org/10.1103/PhysRevE.84.056408	journal	November 2011
Ion Temperature and Hydrodynamic-Energy Measurements in a Z -Pinch Plasma at Stagnation Kroupp, E.; Osin, D.; Starobinets, A. Physical Review Letters, Vol. 107, Issue 10 https://doi.org/10.1103/PhysRevLett.107.105001	journal	August 2011
Pressure and Energy Balance of Stagnating Plasmas in z -Pinch Experiments: Implications to Current Flow at Stagnation Maron, Y.; Starobinets, A.; Fisher, V. I. Physical Review Letters, Vol. 111, Issue 3 https://doi.org/10.1103/PhysRevLett.111.035001	journal	July 2013
Particle Velocity Distributions and Ionization Processes in a Gas-Puff Z Pinch Foord, M. E.; Maron, Y.; Davara, G. Physical Review Letters, Vol. 72, Issue 24 https://doi.org/10.1103/PhysRevLett.72.3827	journal	June 1994
Reversed Current Structure in a Z -Pinch Plasma Lee, Ki-Tae; Kim, Dong-Eon; Kim, Seong-Ho Physical Review Letters, Vol. 85, Issue 18 https://doi.org/10.1103/PhysRevLett.85.3834	journal	October 2000
Evolution of MHD Instabilities in Plasma Imploding Under Magnetic Field Osin, D.; Kroupp, E.; Starobinets, A. IEEE Transactions on Plasma Science, Vol. 39, Issue 11 https://doi.org/10.1109/TPS.2011.2159019	journal	November 2011
A Review of the Gas-Puff $Z$ -Pinch as an X-Ray and Neutron Source Giuliani, J. L.; Commisso, R. J. IEEE Transactions on Plasma Science, Vol. 43, Issue 8 https://doi.org/10.1109/TPS.2015.2451157	journal	August 2015

Similar Records

Radial current and rotation profile tailoring in highly ionized linear plasma devices

Journal Article · Wed Aug 28 00:00:00 UTC 2019 · Physics of Plasmas · OSTI ID:1574889

Kolmes, E. J.; Ochs, I. E.; Mlodik, M. E.; +3 more

Penetration and expulsion of magnetic fields in plasmas due to the Hall field

Journal Article · Thu Aug 01 04:00:00 UTC 1991 · Physics of Fluids B; (USA) · OSTI ID:5730028

Fruchtman, A

Neoclassical electron transport in tokamaks with neutral-beam injection

Journal Article · Fri Apr 15 04:00:00 UTC 2005 · Physics of Plasmas · OSTI ID:20736510

Helander, P; Akers, R J

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
deflagration
doppler effect
electromagnetic induction
magnetic fields
magnetohydrodynamics
plasma confinement
plasma dynamics
polarization spectroscopy

Title: Current channel evolution in ideal Z pinch for general velocity profiles

Citation Formats

References (19)

Similar Records

Related Subjects