A semi-analytic model of magnetized liner inertial fusion

McBride, Ryan D.; Slutz, Stephen A.

doi:10.1063/1.4918953

Title: A semi-analytic model of magnetized liner inertial fusion

Journal Article · Fri May 01 00:00:00 EDT 2015 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.4918953· OSTI ID:1182457

McBride, Ryan D. ^[1]; Slutz, Stephen A. ^[1]

Sandia National Laboratories, Albuquerque, New Mexico 87185, USA

Presented is a semi-analytic model of magnetized liner inertial fusion (MagLIF). This model accounts for several key aspects of MagLIF, including: (1) preheat of the fuel (optionally via laser absorption); (2) pulsed-power-driven liner implosion; (3) liner compressibility with an analytic equation of state, artificial viscosity, internal magnetic pressure, and ohmic heating; (4) adiabatic compression and heating of the fuel; (5) radiative losses and fuel opacity; (6) magnetic flux compression with Nernst thermoelectric losses; (7) magnetized electron and ion thermal conduction losses; (8) end losses; (9) enhanced losses due to prescribed dopant concentrations and contaminant mix; (10) deuterium-deuterium and deuterium-tritium primary fusion reactions for arbitrary deuterium to tritium fuel ratios; and (11) magnetized α-particle fuel heating. We show that this simplified model, with its transparent and accessible physics, can be used to reproduce the general 1D behavior presented throughout the original MagLIF paper [S. A. Slutz et al., Phys. Plasmas 17, 056303 (2010)]. We also discuss some important physics insights gained as a result of developing this model, such as the dependence of radiative loss rates on the radial fraction of the fuel that is preheated.

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Research Organization:: Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

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

Grant/Contract Number:: AC04-94AL85000

OSTI ID:: 1182457

Alternate ID(s):: OSTI ID: 1214586; OSTI ID: 1237359

Report Number(s):: SAND-2015-20817J; PHPAEN; 10.1063/1.4918953

Journal Information:: Physics of Plasmas, Vol. 22, Issue 5; ISSN 1070-664X

Publisher:: American Institute of PhysicsCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 33 works

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References (59)

Pulsed-power-driven cylindrical liner implosions of laser preheated fuel magnetized with an axial field Slutz, S. A.; Herrmann, M. C.; Vesey, R. A. Physics of Plasmas, Vol. 17, Issue 5 https://doi.org/10.1063/1.3333505	journal	May 2010
High-Gain Magnetized Inertial Fusion Slutz, Stephen A.; Vesey, Roger A. Physical Review Letters, Vol. 108, Issue 2 https://doi.org/10.1103/PhysRevLett.108.025003	journal	January 2012
Measurements of magneto-Rayleigh–Taylor instability growth during the implosion of initially solid metal liners Sinars, D. B.; Slutz, S. A.; Herrmann, M. C. Physics of Plasmas, Vol. 18, Issue 5 https://doi.org/10.1063/1.3560911	journal	May 2011
Magnetically Driven Implosions for Inertial Confinement Fusion at Sandia National Laboratories Cuneo, M. E.; Herrmann, M. C.; Sinars, D. B. IEEE Transactions on Plasma Science, Vol. 40, Issue 12 https://doi.org/10.1109/TPS.2012.2223488	journal	December 2012
Determination of pressure and density of shocklessly compressed beryllium from x-ray radiography of a magnetically driven cylindrical liner implosion Lemke, R. W.; Martin, Matthew R.; McBride, Ryan D. SHOCK COMPRESSION OF CONDENSED MATTER - 2011: Proceedings of the Conference of the American Physical Society Topical Group on Shock Compression of Condensed Matter, AIP Conference Proceedings https://doi.org/10.1063/1.3686320	conference	January 2012
Analysis of cylindrical ramp compression experiment with radiography based surface fitting method Martin, Matthew R.; Lemke, R. W.; McBride, Ryan D. SHOCK COMPRESSION OF CONDENSED MATTER - 2011: Proceedings of the Conference of the American Physical Society Topical Group on Shock Compression of Condensed Matter, AIP Conference Proceedings https://doi.org/10.1063/1.3686292	conference	January 2012
Solid liner implosions on Z for producing multi-megabar, shockless compressions Martin, M. R.; Lemke, R. W.; McBride, R. D. Physics of Plasmas, Vol. 19, Issue 5 https://doi.org/10.1063/1.3694519	journal	May 2012
Penetrating Radiography of Imploding and Stagnating Beryllium Liners on the $Z$ Accelerator McBride, R. D.; Slutz, S. A.; Jennings, C. A. Physical Review Letters, Vol. 109, Issue 13 https://doi.org/10.1103/PhysRevLett.109.135004	journal	September 2012
Beryllium liner implosion experiments on the Z accelerator in preparation for magnetized liner inertial fusion McBride, R. D.; Martin, M. R.; Lemke, R. W. Physics of Plasmas, Vol. 20, Issue 5 https://doi.org/10.1063/1.4803079	journal	May 2013
Tracking an imploding cylinder with photonic Doppler velocimetry Dolan, D. H.; Lemke, R. W.; McBride, R. D. Review of Scientific Instruments, Vol. 84, Issue 5 https://doi.org/10.1063/1.4803074	journal	May 2013
Electrothermal instability growth in magnetically driven pulsed power liners Peterson, Kyle J.; Sinars, Daniel B.; Yu, Edmund P. Physics of Plasmas, Vol. 19, Issue 9 https://doi.org/10.1063/1.4751868	journal	September 2012
Simulations of electrothermal instability growth in solid aluminum rods Peterson, Kyle J.; Yu, Edmund P.; Sinars, Daniel B. Physics of Plasmas, Vol. 20, Issue 5 https://doi.org/10.1063/1.4802836	journal	May 2013
Electrothermal Instability Mitigation by Using Thick Dielectric Coatings on Magnetically Imploded Conductors Peterson, Kyle J.; Awe, Thomas J.; Yu, Edmund P. Physical Review Letters, Vol. 112, Issue 13 https://doi.org/10.1103/PhysRevLett.112.135002	journal	April 2014
Observations of Modified Three-Dimensional Instability Structure for Imploding $z$ -Pinch Liners that are Premagnetized with an Axial Field Awe, T. J.; McBride, R. D.; Jennings, C. A. Physical Review Letters, Vol. 111, Issue 23 https://doi.org/10.1103/PhysRevLett.111.235005	journal	December 2013
Modified helix-like instability structure on imploding z-pinch liners that are pre-imposed with a uniform axial magnetic field Awe, T. J.; Jennings, C. A.; McBride, R. D. Physics of Plasmas, Vol. 21, Issue 5 https://doi.org/10.1063/1.4872331	journal	May 2014
Design of magnetized liner inertial fusion experiments using the Z facility Sefkow, A. B.; Slutz, S. A.; Koning, J. M. Physics of Plasmas, Vol. 21, Issue 7 https://doi.org/10.1063/1.4890298	journal	July 2014
Effects of magnetization on fusion product trapping and secondary neutron spectraa) Knapp, P. F.; Schmit, P. F.; Hansen, S. B. Physics of Plasmas, Vol. 22, Issue 5 https://doi.org/10.1063/1.4920948	journal	May 2015
Three-dimensional electromagnetic model of the pulsed-power $Z$ -pinch accelerator Rose, D. V.; Welch, D. R.; Madrid, E. A. Physical Review Special Topics - Accelerators and Beams, Vol. 13, Issue 1 https://doi.org/10.1103/PhysRevSTAB.13.010402	journal	January 2010
Annealing of Ion-Implanted Layers Under the Action of Laser Radiation [Otzhig ionno-legirovannykh sloev pod deistviem lazernogo izlucheniya] Zaripov, M. M.; Khaybullin, I. B.; Shtyrkov, E. I. Uspekhi Fizicheskih Nauk, Vol. 120, Issue 12 https://doi.org/10.3367/UFNr.0120.197612n.0706	journal	January 1976
Annealing of Ion-Implanted Layers Under the Action of Laser Radiation Zaripov, M. M.; Khaybullin, I. B.; Shtyrkov, E. I. Soviet Physics Uspekhi, Vol. 19, Issue 12 https://doi.org/10.1070/PU1976v019n12ABEH005380	journal	December 1976
High-gain, low-intensity ICF targets for a charged-particle beam fusion driver Sweeney, M. A.; Farnsworth, A. V. Nuclear Fusion, Vol. 21, Issue 1 https://doi.org/10.1088/0029-5515/21/1/004	journal	January 1981
Magnetohydrodynamic behavior of thermonuclear fuel in a preconditioned electron beam imploded target Lindemuth, I. R. Physics of Fluids, Vol. 24, Issue 4 https://doi.org/10.1063/1.863415	journal	January 1981
Parameter space for magnetized fuel targets in inertial confinement fusion Lindemuth, I. R.; Kirkpatrick, R. C. Nuclear Fusion, Vol. 23, Issue 3 https://doi.org/10.1088/0029-5515/23/3/001	journal	March 1983
The physics of burn in magnetized deuterium-tritium plasmas: spherical geometry Jones, R. D.; Mead, W. C. Nuclear Fusion, Vol. 26, Issue 2 https://doi.org/10.1088/0029-5515/26/2/001	journal	February 1986
Magnetically insulated inertial fusion: A new approach to controlled thermonuclear fusion Hasegawa, Akira; Daido, Hiroyuki; Fujita, Masayuki Physical Review Letters, Vol. 56, Issue 2 https://doi.org/10.1103/PhysRevLett.56.139	journal	January 1986
Target Plasma Formation for Magnetic Compression/Magnetized Target Fusion Lindemuth, I. R.; Reinovsky, R. E.; Chrien, R. E. Physical Review Letters, Vol. 75, Issue 10 https://doi.org/10.1103/PhysRevLett.75.1953	journal	September 1995
Compression of Plasma to Megabar Range using Imploding Liner Degnan, J. H.; Alme, M. L.; Austin, B. S. Physical Review Letters, Vol. 82, Issue 13 https://doi.org/10.1103/PhysRevLett.82.2681	journal	March 1999
Ignition conditions for magnetized target fusion in cylindrical geometry Basko, M. M.; Kemp, A. J.; Meyer-ter-Vehn, J. Nuclear Fusion, Vol. 40, Issue 1 https://doi.org/10.1088/0029-5515/40/1/305	journal	January 2000
Ignition conditions for magnetically insulated tamped ICF targets in cylindrical geometry Kemp, A. J.; Basko, M. M.; Meyer-ter-Vehn, J. Nuclear Fusion, Vol. 41, Issue 2 https://doi.org/10.1088/0029-5515/41/2/311	journal	February 2001
Implosion and ignition of magnetized cylindrical targets driven by heavy-ion beams Kemp, A. J.; Basko, M. M.; Meyer-ter-Vehn, J. Nuclear Fusion, Vol. 43, Issue 1 https://doi.org/10.1088/0029-5515/43/1/302	journal	December 2002
A High-Density Field Reversed Configuration Plasma for Magnetized Target Fusion Intrator, T. P.; Park, J. Y.; Degnan, J. H. IEEE Transactions on Plasma Science, Vol. 32, Issue 1 https://doi.org/10.1109/TPS.2004.823974	journal	February 2004
Update on Mago Progress Garanin, Sergey F.; Mamyshev, Valentin I.; Yakubov, Valerii B. 2006 International Conference on Megagauss Magnetic Field Generation and Related Topics, 2006 IEEE International Conference on Megagauss Magnetic Field Generation and Related Topics https://doi.org/10.1109/MEGAGUSS.2006.4530659	conference	November 2006
Laser Compression of Matter to Super-High Densities: Thermonuclear (CTR) Applications Nuckolls, John; Wood, Lowell; Thiessen, Albert Nature, Vol. 239, Issue 5368, p. 139-142 https://doi.org/10.1038/239139a0	journal	September 1972
Development of the indirect‐drive approach to inertial confinement fusion and the target physics basis for ignition and gain Lindl, John Physics of Plasmas, Vol. 2, Issue 11 https://doi.org/10.1063/1.871025	journal	November 1995
Shock Ignition: A New Approach to High Gain Inertial Confinement Fusion on the National Ignition Facility Perkins, L. J.; Betti, R.; LaFortune, K. N. Physical Review Letters, Vol. 103, Issue 4, Article No. 045004 https://doi.org/10.1103/PhysRevLett.103.045004	journal	July 2009
Erratum: “National Ignition Campaign Hohlraum energetics” [Phys. Plasmas 17, 056304 (2010)] Meezan, N. B.; Atherton, L. J.; Bond, E. J. Physics of Plasmas, Vol. 17, Issue 10 https://doi.org/10.1063/1.3484873	journal	October 2010
Fuel gain exceeding unity in an inertially confined fusion implosion Hurricane, O. A.; Callahan, D. A.; Casey, D. T. Nature, Vol. 506, Issue 7488 https://doi.org/10.1038/nature13008	journal	February 2014
Transport Phenomena in a Completely Ionized Gas in Presence of a Magnetic Field Landshoff, Rolf Physical Review, Vol. 76, Issue 7 https://doi.org/10.1103/PhysRev.76.904	journal	October 1949
The physics of fast $Z$ pinches Ryutov, D. D.; Derzon, M. S.; Matzen, M. K. Reviews of Modern Physics, Vol. 72, Issue 1 https://doi.org/10.1103/RevModPhys.72.167	journal	January 2000
Rayleigh-Taylor Instabilities of a Collapsing Cylindrical Shell in a Magnetic Field Harris, E. G. Physics of Fluids, Vol. 5, Issue 9 https://doi.org/10.1063/1.1724473	journal	January 1962
Instability growth in magnetically imploded high-conductivity cylindrical liners with material strength Reinovsky, R. E.; Anderson, W. E.; Atchison, W. L. IEEE Transactions on Plasma Science, Vol. 30, Issue 5 https://doi.org/10.1109/TPS.2002.805418	journal	October 2002
Nonlinear Rayleigh–Taylor instabilities in fast Z pinches Miles, Aaron R. Physics of Plasmas, Vol. 16, Issue 3 https://doi.org/10.1063/1.3088020	journal	March 2009
Anisotropy and feedthrough in magneto-Rayleigh-Taylor instability Lau, Y. Y.; Zier, J. C.; Rittersdorf, I. M. Physical Review E, Vol. 83, Issue 6 https://doi.org/10.1103/PhysRevE.83.066405	journal	June 2011
Effects of magnetic shear on magneto-Rayleigh-Taylor instability Zhang, Peng; Lau, Y. Y.; Rittersdorf, I. M. Physics of Plasmas, Vol. 19, Issue 2 https://doi.org/10.1063/1.3680646	journal	February 2012
Z-Beamlet: a multikilojoule, terawatt-class laser system Rambo, Patrick K.; Smith, Ian C.; Porter, John L. Applied Optics, Vol. 44, Issue 12 https://doi.org/10.1364/AO.44.002421	journal	January 2005
2–20ns interframe time 2-frame 6.151keV x-ray imaging on the recently upgraded Z Accelerator: A progress report Bennett, G. R.; Smith, I. C.; Shores, J. E. Review of Scientific Instruments, Vol. 79, Issue 10 https://doi.org/10.1063/1.2956823	journal	October 2008
Monochromatic x-ray imaging experiments on the Sandia National Laboratories Z facility (invited) Sinars, D. B.; Bennett, G. R.; Wenger, D. F. Review of Scientific Instruments, Vol. 75, Issue 10 https://doi.org/10.1063/1.1779607	journal	October 2004
Pulsed-coil magnet systems for applying uniform 10–30 T fields to centimeter-scale targets on Sandia's Z facility Rovang, D. C.; Lamppa, D. C.; Cuneo, M. E. Review of Scientific Instruments, Vol. 85, Issue 12 https://doi.org/10.1063/1.4902566	journal	December 2014
Self-Consistent Zero-Dimensional Numerical Simulation of a Magnetized Target Fusion Configuration Dahlin, Jon-Erik; Scheffel, Jan Physica Scripta, Vol. 70, Issue 5 https://doi.org/10.1088/0031-8949/70/5/008	journal	January 2004
Displacement current phenomena in the magnetically insulated transmission lines of the refurbished $Z$ accelerator McBride, R. D.; Jennings, C. A.; Vesey, R. A. Physical Review Special Topics - Accelerators and Beams, Vol. 13, Issue 12 https://doi.org/10.1103/PhysRevSTAB.13.120401	journal	December 2010
Circuit Model for Driving Three-Dimensional Resistive MHD Wire Array $Z$-Pinch Calculations Jennings, Chris A.; Chittenden, Jeremy P.; Cuneo, Michael E. IEEE Transactions on Plasma Science, Vol. 38, Issue 4 https://doi.org/10.1109/TPS.2010.2042971	journal	April 2010
Finite Elastic Strain of Cubic Crystals Birch, Francis Physical Review, Vol. 71, Issue 11 https://doi.org/10.1103/PhysRev.71.809	journal	June 1947
Finite Deformations of an Elastic Solid Murnaghan, F. D. American Journal of Mathematics, Vol. 59, Issue 2 https://doi.org/10.2307/2371405	journal	April 1937
The Compressibility of Media under Extreme Pressures Murnaghan, F. D. Proceedings of the National Academy of Sciences, Vol. 30, Issue 9 https://doi.org/10.1073/pnas.30.9.244	journal	September 1944
Introduction to Plasma Physics and Controlled Fusion Chen, Francis F. Springer https://doi.org/10.1007/978-1-4757-5595-4	book	January 1984
Plasma transport coefficients in a magnetic field by direct numerical solution of the Fokker–Planck equation Epperlein, E. M.; Haines, M. G. Physics of Fluids, Vol. 29, Issue 4 https://doi.org/10.1063/1.865901	journal	January 1986
Principles of Fusion Energy Harms, A. A.; Kingdon, D. R.; Schoepf, K. F. https://doi.org/10.1142/4447	journal	June 2000
Improved formulas for fusion cross-sections and thermal reactivities Bosch, H. -S; Hale, G. M. Nuclear Fusion, Vol. 32, Issue 4 https://doi.org/10.1088/0029-5515/32/4/I07	journal	April 1992
The Physics of Inertial Fusion Atzeni, Stefano; Meyer-ter-Vehn, Jürgen https://doi.org/10.1093/acprof:oso/9780198562641.001.0001	book	January 2004

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Title: A semi-analytic model of magnetized liner inertial fusion

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