Current channel evolution in ideal Z pinch for general velocity profiles
Abstract
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, |vr| ∝ 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.
- Authors:
-
[1];
[2];
[2];
[3];
[1];
[1];
[1]
- Princeton Univ., NJ (United States)
- Weizmann Inst. of Science, Rehovot (Israel)
- Holon Inst. of Technology, Holon (Israel)
- Publication Date:
- Research Org.:
- Princeton Univ., NJ (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA); National Science Foundation (NSF)
- OSTI Identifier:
- 1638053
- Alternate Identifier(s):
- OSTI ID: 1579388
- Grant/Contract Number:
- NA0003764; PHY-1506122; FG02-97ER25308
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physics of Plasmas
- Additional Journal Information:
- Journal Volume: 26; Journal Issue: 12; 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; electromagnetic induction; plasma dynamics; doppler effect; magnetohydrodynamics; plasma confinement; polarization spectroscopy; magnetic fields; deflagration
Citation Formats
Ochs, I. E., Stollberg, C., Kroupp, E., Maron, Y., Fruchtman, A., Kolmes, E. J., Mlodik, M. E., and Fisch, N. J. Current channel evolution in ideal Z pinch for general velocity profiles. United States: N. p., 2019.
Web. doi:10.1063/1.5118668.
Ochs, I. E., Stollberg, C., Kroupp, E., Maron, Y., Fruchtman, A., Kolmes, E. J., Mlodik, M. E., & Fisch, N. J. Current channel evolution in ideal Z pinch for general velocity profiles. United States. https://doi.org/10.1063/1.5118668
Ochs, I. E., Stollberg, C., Kroupp, E., Maron, Y., Fruchtman, A., Kolmes, E. J., Mlodik, M. E., and Fisch, N. J. Thu .
"Current channel evolution in ideal Z pinch for general velocity profiles". United States. https://doi.org/10.1063/1.5118668. https://www.osti.gov/servlets/purl/1638053.
@article{osti_1638053,
title = {Current channel evolution in ideal Z pinch for general velocity profiles},
author = {Ochs, I. E. and Stollberg, C. and Kroupp, E. and Maron, Y. and Fruchtman, A. and Kolmes, E. J. and Mlodik, M. E. and Fisch, N. J.},
abstractNote = {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, |vr| ∝ 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.},
doi = {10.1063/1.5118668},
journal = {Physics of Plasmas},
number = 12,
volume = 26,
place = {United States},
year = {Thu Dec 12 00:00:00 EST 2019},
month = {Thu Dec 12 00:00:00 EST 2019}
}
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