Magnetized particle transport in multi-MA accelerators
Abstract
Kinetic simulations of Sandia National Laboratories’ Z machine are conducted to understand particle transport in the highly magnetized environment of a multi-MA accelerator. Joule heating leads to the rapid formation of electrode surface plasmas. These plasmas are implicated in reducing accelerator efficiency by diverting current away from the load [M.R. Gomez et al., Phys. Rev. Accel. Beams 20, 010401 (2017), N. Bennett et al., Phys. Rev. Accel. Beams 22, 120401 (2019)]. The fully-relativistic, electromagnetic simulations presented in this paper show that particles emitted in a space-charge-limited manner, in the absence of plasma, are magnetically insulated. However, in the presence of plasma, particles are transported across the magnetic field in spite of being only weakly collisional. The simulated cross-gap currents are well-approximated by the Hall current in the generalized Ohm’s law. The Hall conductivities are calculated using the simulated particle densities and energies, and the parameters that increase the Hall current are related to transmission line inductance. Analogous to the generalized Ohm’s law, we extend the derivation of the magnetized diffusion coefficients to include the coupling of perpendicular components. These yield a Hall diffusion rate, which is equivalent to the empirical Bohm diffusion.
- Authors:
- Publication Date:
- Research Org.:
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA); USDOE Laboratory Directed Research and Development (LDRD) Program
- OSTI Identifier:
- 1798243
- Alternate Identifier(s):
- OSTI ID: 1810353
- Report Number(s):
- SAND-2021-7454J
Journal ID: ISSN 2469-9888; PRABCJ; 060401
- Grant/Contract Number:
- NA0003525; 209240; AC04-94AL85000
- Resource Type:
- Published Article
- Journal Name:
- Physical Review Accelerators and Beams
- Additional Journal Information:
- Journal Name: Physical Review Accelerators and Beams Journal Volume: 24 Journal Issue: 6; Journal ID: ISSN 2469-9888
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; plasma production & heating by particle beams; plasma transport; particle-in-cell methods
Citation Formats
Bennett, N., Welch, D. R., Laity, G., Rose, D. V., and Cuneo, M. E. Magnetized particle transport in multi-MA accelerators. United States: N. p., 2021.
Web. doi:10.1103/PhysRevAccelBeams.24.060401.
Bennett, N., Welch, D. R., Laity, G., Rose, D. V., & Cuneo, M. E. Magnetized particle transport in multi-MA accelerators. United States. https://doi.org/10.1103/PhysRevAccelBeams.24.060401
Bennett, N., Welch, D. R., Laity, G., Rose, D. V., and Cuneo, M. E. Wed .
"Magnetized particle transport in multi-MA accelerators". United States. https://doi.org/10.1103/PhysRevAccelBeams.24.060401.
@article{osti_1798243,
title = {Magnetized particle transport in multi-MA accelerators},
author = {Bennett, N. and Welch, D. R. and Laity, G. and Rose, D. V. and Cuneo, M. E.},
abstractNote = {Kinetic simulations of Sandia National Laboratories’ Z machine are conducted to understand particle transport in the highly magnetized environment of a multi-MA accelerator. Joule heating leads to the rapid formation of electrode surface plasmas. These plasmas are implicated in reducing accelerator efficiency by diverting current away from the load [M.R. Gomez et al., Phys. Rev. Accel. Beams 20, 010401 (2017), N. Bennett et al., Phys. Rev. Accel. Beams 22, 120401 (2019)]. The fully-relativistic, electromagnetic simulations presented in this paper show that particles emitted in a space-charge-limited manner, in the absence of plasma, are magnetically insulated. However, in the presence of plasma, particles are transported across the magnetic field in spite of being only weakly collisional. The simulated cross-gap currents are well-approximated by the Hall current in the generalized Ohm’s law. The Hall conductivities are calculated using the simulated particle densities and energies, and the parameters that increase the Hall current are related to transmission line inductance. Analogous to the generalized Ohm’s law, we extend the derivation of the magnetized diffusion coefficients to include the coupling of perpendicular components. These yield a Hall diffusion rate, which is equivalent to the empirical Bohm diffusion.},
doi = {10.1103/PhysRevAccelBeams.24.060401},
journal = {Physical Review Accelerators and Beams},
number = 6,
volume = 24,
place = {United States},
year = {Wed Jun 23 00:00:00 EDT 2021},
month = {Wed Jun 23 00:00:00 EDT 2021}
}
https://doi.org/10.1103/PhysRevAccelBeams.24.060401
Works referenced in this record:
Initial Performance of the Primary Test Stand
journal, October 2013
- Jianjun, Deng; Weiping, Xie; Suping, Feng
- IEEE Transactions on Plasma Science, Vol. 41, Issue 10
Computational analysis of current-loss mechanisms in a post-hole convolute driven by magnetically insulated transmission lines
journal, March 2015
- Rose, D. V.; Madrid, E. A.; Welch, D. R.
- Physical Review Special Topics - Accelerators and Beams, Vol. 18, Issue 3
A review of the dense Z -pinch
journal, June 2011
- Haines, M. G.
- Plasma Physics and Controlled Fusion, Vol. 53, Issue 9
55-TW magnetically insulated transmission-line system: Design, simulations, and performance
journal, December 2009
- Stygar, W. A.; Corcoran, P. A.; Ives, H. C.
- Physical Review Special Topics - Accelerators and Beams, Vol. 12, Issue 12
Steady-state modeling of current loss in a post-hole convolute driven by high power magnetically insulated transmission lines
journal, December 2013
- Madrid, E. A.; Rose, D. V.; Welch, D. R.
- Physical Review Special Topics - Accelerators and Beams, Vol. 16, Issue 12, Article No. 120401
Energy loss to conductors operated at lineal current densities : Semianalytic model, magnetohydrodynamic simulations, and experiment
journal, December 2008
- Stygar, W. A.; Rosenthal, S. E.; Ives, H. C.
- Physical Review Special Topics - Accelerators and Beams, Vol. 11, Issue 12
Particle-in-cell simulations of electron flow in the post-hole convolute of the Z accelerator
journal, October 2001
- Pointon, T. D.; Stygar, W. A.; Spielman, R. B.
- Physics of Plasmas, Vol. 8, Issue 10
Shot reproducibility of the self-magnetic-pinch diode at 4.5 MV
journal, May 2014
- Bennett, Nichelle; Crain, M. Dale; Droemer, Darryl W.
- Physical Review Special Topics - Accelerators and Beams, Vol. 17, Issue 5
Measurement of electron energy deposition necessary to form an anode plasma in Ta, Ti, and C for coaxial bremsstrahlung diodes
journal, July 1989
- Sanford, T. W. L.; Halbleib, J. A.; Poukey, J. W.
- Journal of Applied Physics, Vol. 66, Issue 1
Updated Excitation and Ionization Cross Sections for Electron Impact on Atomic Oxygen
journal, January 1990
- Laher, Russ R.; Gilmore, Forrest R.
- Journal of Physical and Chemical Reference Data, Vol. 19, Issue 1
A corrected method for Coulomb scattering in arbitrarily weighted particle-in-cell plasma simulations
journal, July 2020
- Higginson, Drew Pitney; Holod, Ihor; Link, Anthony
- Journal of Computational Physics, Vol. 413
Simulations of the generation and transport of a 5 MV end-point x-ray beam on a pulsed power generator
journal, May 2019
- Richardson, A. S.; Zier, J. C.; Engelbrecht, J. T.
- Physical Review Accelerators and Beams, Vol. 22, Issue 5
Plasma Diffusion in a Magnetic Field
journal, January 1958
- Rosenbluth, M. N.; Kaufman, A. N.
- Physical Review, Vol. 109, Issue 1
Results of vacuum cleaning techniques on the performance of LiF field-threshold ion sources on extraction applied-B ion diodes at 1-10 TW
journal, April 1997
- Cuneo, M. E.; Menge, P. R.; Hanson, D. L.
- IEEE Transactions on Plasma Science, Vol. 25, Issue 2
Modeling particle emission and power flow in pulsed-power driven, nonuniform transmission lines
journal, April 2008
- Bruner, Nichelle; Genoni, Thomas; Madrid, Elizabeth
- Physical Review Special Topics - Accelerators and Beams, Vol. 11, Issue 4
Status of the Z pulsed power driver
conference, June 2011
- Savage, M. E.; LeChien, K. R.; Lopez, M. R.
- 2011 IEEE Pulsed Power Conference (PPC)
Effective Potential Theory for Transport Coefficients across Coupling Regimes
journal, June 2013
- Baalrud, Scott D.; Daligault, Jérôme
- Physical Review Letters, Vol. 110, Issue 23
Particle-in-cell studies of fast-ion slowing-down rates in cool tenuous magnetized plasma
journal, April 2018
- Evans, Eugene S.; Cohen, Samuel A.; Welch, Dale R.
- Physics of Plasmas, Vol. 25, Issue 4
Direct measurements of anode/cathode gap plasma in cylindrically imploding loads on the Z machine
journal, June 2018
- Porwitzky, A.; Dolan, D. H.; Martin, M. R.
- Physics of Plasmas, Vol. 25, Issue 6
Weighted Particles in Coulomb Collision Simulations Based on the Theory of a Cumulative Scattering Angle
journal, September 1998
- Nanbu, K.; Yonemura, S.
- Journal of Computational Physics, Vol. 145, Issue 2
Plasma evolution and dynamics in high-power vacuum-transmission-line post-hole convolutes
journal, June 2008
- Rose, D. V.; Welch, D. R.; Hughes, T. P.
- Physical Review Special Topics - Accelerators and Beams, Vol. 11, Issue 6
The Effect of Space Charge and Residual Gases on Thermionic Currents in High Vacuum
journal, December 1913
- Langmuir, Irving
- Physical Review, Vol. 2, Issue 6
Numerical simulations of enhanced ion current losses in the inner magnetically insulated transmission line of the accelerator
journal, August 2020
- Rose, D. V.; Waisman, E. M.; Desjarlais, M. P.
- Physical Review Accelerators and Beams, Vol. 23, Issue 8
Tungsten wire-array Z-pinch experiments at 200 TW and 2 MJ
journal, May 1998
- Spielman, R. B.; Deeney, C.; Chandler, G. A.
- Physics of Plasmas, Vol. 5, Issue 5
Full circuit calculation for electromagnetic pulse transmission in a high current facility
journal, November 2014
- Zou, Wenkang; Guo, Fan; Chen, Lin
- Physical Review Special Topics - Accelerators and Beams, Vol. 17, Issue 11
Particle Diffusion across a Magnetic Field
journal, January 1960
- Spitzer, Lyman
- Physics of Fluids, Vol. 3, Issue 4
Ion current losses in the convolute and inner magnetically insulated transmission line of the machine
journal, March 2019
- Waisman, Eduardo M.; Desjarlais, M. P.; Cuneo, M. E.
- Physical Review Accelerators and Beams, Vol. 22, Issue 3
Z pinches as intense x-ray sources for high-energy density physics applications
journal, May 1997
- Matzen, M. Keith
- Physics of Plasmas, Vol. 4, Issue 5
Fast hybrid particle-in-cell technique for pulsed-power accelerators
journal, November 2020
- Welch, D. R.; Bennett, N.; Genoni, T. C.
- Physical Review Accelerators and Beams, Vol. 23, Issue 11
Explanation of Bohm diffusion
journal, January 1990
- Kaufman, Harold R.
- Journal of Vacuum Science & Technology B: Microelectronics and Nanometer Structures, Vol. 8, Issue 1
Anode plasma dynamics in the self-magnetic-pinch diode
journal, February 2011
- Bruner, Nichelle; Welch, Dale R.; Hahn, Kelly D.
- Physical Review Special Topics - Accelerators and Beams, Vol. 14, Issue 2
A generalized Boltzmann kinetic theory for strongly magnetized plasmas with application to friction
journal, November 2020
- Jose, Louis; Baalrud, Scott D.
- Physics of Plasmas, Vol. 27, Issue 11
Exact Relativistic Solution for the One‐Dimensional Diode
journal, September 1969
- Jory, H. R.; Trivelpiece, A. W.
- Journal of Applied Physics, Vol. 40, Issue 10
The impact of plasma dynamics on the self-magnetic-pinch diode impedance
journal, March 2015
- Bennett, Nichelle; Welch, Dale R.; Webb, Timothy J.
- Physics of Plasmas, Vol. 22, Issue 3
Coupled particle-in-cell and Monte Carlo transport modeling of intense radiographic sources
journal, March 2002
- Rose, D. V.; Welch, D. R.; Oliver, B. V.
- Journal of Applied Physics, Vol. 91, Issue 5
Water desorption from rapidly-heated metal oxide surfaces—first principles, molecular dynamics, and the Temkin isotherm
journal, October 2018
- Lane, J. Matthew D.; Leung, Kevin; Thompson, Aidan P.
- Journal of Physics: Condensed Matter, Vol. 30, Issue 46
Correlation of outgassing of stainless steel and aluminum with various surface treatments
journal, September 1993
- Dylla, H. F.; Manos, D. M.; LaMarche, P. H.
- Journal of Vacuum Science & Technology A: Vacuum, Surfaces, and Films, Vol. 11, Issue 5
Hybrid-PIC modeling of laser-plasma interactions and hot electron generation in gold hohlraum walls
journal, June 2017
- Thoma, C.; Welch, D. R.; Clark, R. E.
- Physics of Plasmas, Vol. 24, Issue 6
A Fast Implicit Algorithm for Highly Magnetized Charged Particle Motion
journal, May 2010
- Genoni, T. C.; Clark, R. E.; Welch, D. R.
- The Open Plasma Physics Journal, Vol. 3, Issue 1
Experimental study of current loss and plasma formation in the machine post-hole convolute
journal, January 2017
- Gomez, M. R.; Gilgenbach, R. M.; Cuneo, M. E.
- Physical Review Accelerators and Beams, Vol. 20, Issue 1
Review of pulsed power-driven high energy density physics research on Z at Sandia
journal, July 2020
- Sinars, D. B.; Sweeney, M. A.; Alexander, C. S.
- Physics of Plasmas, Vol. 27, Issue 7
Simulation techniques for heavy ion fusion chamber transport
journal, May 2001
- Welch, D. R.; Rose, D. V.; Oliver, B. V.
- Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 464, Issue 1-3
From concept to reality – A review to the primary test stand and its preliminary application in high energy density physics
journal, January 2016
- Deng, Jianjun; Xie, Weiping; Feng, Shuping
- Matter and Radiation at Extremes, Vol. 1, Issue 1
A comparison of kinetic and multifluid simulations of laser‐produced colliding plasmas
journal, August 1995
- Rambo, P. W.; Procassini, R. J.
- Physics of Plasmas, Vol. 2, Issue 8
Negative ion losses in magnetically insulated vacuum gaps
journal, February 1981
- VanDevender, J. P.; Stinnett, R. W.; Anderson, R. J.
- Applied Physics Letters, Vol. 38, Issue 4
Adaptive particle management in a particle-in-cell code
journal, November 2007
- Welch, D. R.; Genoni, T. C.; Clark, R. E.
- Journal of Computational Physics, Vol. 227, Issue 1
Magnetically Driven Implosions for Inertial Confinement Fusion at Sandia National Laboratories
journal, December 2012
- Cuneo, M. E.; Herrmann, M. C.; Sinars, D. B.
- IEEE Transactions on Plasma Science, Vol. 40, Issue 12
Current transport and loss mechanisms in the accelerator
journal, December 2019
- Bennett, N.; Welch, D. R.; Jennings, C. A.
- Physical Review Accelerators and Beams, Vol. 22, Issue 12
Model for the outgassing of water from metal surfaces
journal, July 1993
- Li, Minxu; Dylla, H. F.
- Journal of Vacuum Science & Technology A: Vacuum, Surfaces, and Films, Vol. 11, Issue 4
Plasma Diffusion in Two Dimensions
journal, January 1971
- Taylor, J. B.
- Physics of Fluids, Vol. 14, Issue 7
Transmission-line-circuit model of an 85-TW, 25-MA pulsed-power accelerator
journal, March 2018
- Hutsel, B. T.; Corcoran, P. A.; Cuneo, M. E.
- Physical Review Accelerators and Beams, Vol. 21, Issue 3
Formation of a pinched electron beam and an intense x-ray source in radial foil rod-pinch diodes
journal, April 2016
- Sorokin, S. A.
- Physics of Plasmas, Vol. 23, Issue 4
The origin of Bohm diffusion, investigated by a comparison of different modelling methods
journal, July 2010
- Bultinck, E.; Mahieu, S.; Depla, D.
- Journal of Physics D: Applied Physics, Vol. 43, Issue 29
Electrode contaminant plasma effects in -A pinch accelerators
journal, July 2019
- Welch, D. R.; Bennett, N.; Genoni, T. C.
- Physical Review Accelerators and Beams, Vol. 22, Issue 7
The Thermal Ionization of Gaseous Elements at High Temperatures: A Confirmation of the Saha Theory
journal, October 1922
- Noyes, A. A.; Wilson, H. A.
- Proceedings of the National Academy of Sciences, Vol. 8, Issue 10