Magnetized ICF implosions: Scaling of temperature and yield enhancement

Walsh, Christopher A.; O'Neill, S.; Chittenden, J. P.; Crilly, Aidan J.; Appelbe, B.; Strozzi, David J.; Ho, D.; Sio, Hong; Pollock, B.; Divol, L.; Hartouni, Edward P.; Rosen, M.; Logan, B. G.; Moody, John D.

doi:10.1063/5.0081915

Title: Magnetized ICF implosions: Scaling of temperature and yield enhancement

Journal Article · 01 April 2022 · Physics of Plasmas

DOI: https://doi.org/10.1063/5.0081915 · OSTI ID:1872296

^[1]; O'Neill, S. ^[2]; Chittenden, J. P. ^[2];

^[2]; Appelbe, B. ^[2];

^[1]; Ho, D. ^[1];

^[1]; Pollock, B. ^[1]; Divol, L. ^[1];

^[1]; Rosen, M. ^[1]; Logan, B. G. ^[1];

^[1]

Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Imperial College, London (United Kingdom)

This paper investigates the impact of an applied magnetic field on the yield and hot-spot temperature of inertial confinement fusion implosions. A scaling of temperature amplification due to magnetization is shown to be in agreement with unperturbed two-dimensional (2D) extended-magnetohydrodynamic simulations. A perfectly spherical hot-spot with an axial magnetic field is predicted to have a maximum temperature amplification of 37%. However, elongation of the hot-spot along field lines raises this value by decreasing the hot-spot surface area along magnetic field lines. A scaling for yield amplification predicts that a magnetic field has the greatest benefit for low-temperature implosions; this is in agreement with simplified 1D simulations, but not 2D simulations where the hot-spot pressure can be significantly reduced by heat-flow anisotropy. Simulations including a P2 drive asymmetry then show that the magnetized yield is a maximum when the capsule drive corrects the hot-spot shape to be round at neutron bang time. An applied magnetic field is also found to be most beneficial for implosions that are more highly perturbed, exceeding the theoretical yield enhancement for symmetric hot-spots. Increasing the magnetic field strength past the value required to magnetize the electrons is beneficial due to the additional suppression of perturbations by magnetic tension.

View Accepted Manuscript (DOE)

View Accepted Manuscript (Publisher)

Cite

Export

Save

Research Organization:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA); USDOE Laboratory Directed Research and Development (LDRD) Program. Lawrence Livermore National Laboratory (LLNL)

Grant/Contract Number:: AC52-07NA27344; 20-SI-002

OSTI ID:: 1872296

Alternate ID(s):: OSTI ID: 1860539

Report Number(s):: LLNL-JRNL-829914; 1045586; TRN: US2306862

Journal Information:: Physics of Plasmas, Vol. 29, Issue 4; ISSN 1070-664X

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

Country of Publication:: United States

Language:: English

References (54)

Measuring magnetic flux suppression in high-power laser–plasma interactions Campbell, P. T.; Walsh, C. A.; Russell, B. K. Physics of Plasmas, Vol. 29, Issue 1 https://doi.org/10.1063/5.0062717	journal	January 2022
The high velocity, high adiabat, “Bigfoot” campaign and tests of indirect-drive implosion scaling Casey, D. T.; Thomas, C. A.; Baker, K. L. Physics of Plasmas, Vol. 25, Issue 5 https://doi.org/10.1063/1.5019741	journal	May 2018
Impact of asymmetries on fuel performance in inertial confinement fusion Gatu Johnson, M.; Appelbe, B. D.; Chittenden, J. P. Physical Review E, Vol. 98, Issue 5 https://doi.org/10.1103/PhysRevE.98.051201	journal	November 2018
Extended-magnetohydrodynamics in under-dense plasmas Walsh, C. A.; Chittenden, J. P.; Hill, D. W. Physics of Plasmas, Vol. 27, Issue 2 https://doi.org/10.1063/1.5124144	journal	February 2020
Compressing magnetic fields with high-energy lasers Knauer, J. P.; Gotchev, O. V.; Chang, P. Y. Physics of Plasmas, Vol. 17, Issue 5 https://doi.org/10.1063/1.3416557	journal	May 2010
Updated magnetized transport coefficients: impact on laser-plasmas with self-generated or applied magnetic fields Walsh, C. A.; Sadler, J. D.; Davies, J. R. Nuclear Fusion, Vol. 61, Issue 11 https://doi.org/10.1088/1741-4326/ac25c1	journal	September 2021
Imposed magnetic field and hot electron propagation in inertial fusion hohlraums Strozzi, David J.; Perkins, L. J.; Marinak, M. M. Journal of Plasma Physics, Vol. 81, Issue 6 https://doi.org/10.1017/S0022377815001348	journal	December 2015
Fusion Yield Enhancement in Magnetized Laser-Driven Implosions Chang, P. Y.; Fiksel, G.; Hohenberger, M. Physical Review Letters, Vol. 107, Issue 3 https://doi.org/10.1103/PhysRevLett.107.035006	journal	July 2011
Mitigation of magneto-Rayleigh-Taylor instability growth in a triple-nozzle, neutron-producing gas-puff Z pinch Narkis, J.; Conti, F.; Velikovich, A. L. Physical Review E, Vol. 104, Issue 2 https://doi.org/10.1103/PhysRevE.104.L023201	journal	August 2021
Self-Generated Magnetic Fields in the Stagnation Phase of Indirect-Drive Implosions on the National Ignition Facility Walsh, C. A.; Chittenden, J. P.; McGlinchey, K. Physical Review Letters, Vol. 118, Issue 15 https://doi.org/10.1103/PhysRevLett.118.155001	journal	April 2017
The importance of electrothermal terms in Ohm's law for magnetized spherical implosions Davies, J. R.; Betti, R.; Chang, P. -Y. Physics of Plasmas, Vol. 22, Issue 11 https://doi.org/10.1063/1.4935286	journal	November 2015
Perturbation modifications by pre-magnetisation of inertial confinement fusion implosions Walsh, C. A.; McGlinchey, K.; Tong, J. K. Physics of Plasmas, Vol. 26, Issue 2 https://doi.org/10.1063/1.5085498	journal	February 2019
Evidence of Three-Dimensional Asymmetries Seeded by High-Density Carbon-Ablator Nonuniformity in Experiments at the National Ignition Facility Casey, D. T.; MacGowan, B. J.; Sater, J. D. Physical Review Letters, Vol. 126, Issue 2 https://doi.org/10.1103/PhysRevLett.126.025002	journal	January 2021
Hot-spot dynamics and deceleration-phase Rayleigh–Taylor instability of imploding inertial confinement fusion capsules Betti, R.; Umansky, M.; Lobatchev, V. Physics of Plasmas, Vol. 8, Issue 12 https://doi.org/10.1063/1.1412006	journal	December 2001
Laser-Driven Magnetic-Flux Compression in High-Energy-Density Plasmas Gotchev, O. V.; Chang, P. Y.; Knauer, J. P. Physical Review Letters, Vol. 103, Issue 21 https://doi.org/10.1103/PhysRevLett.103.215004	journal	November 2009
Magnetic field transport in propagating thermonuclear burn Appelbe, B.; Velikovich, A. L.; Sherlock, M. Physics of Plasmas, Vol. 28, Issue 3 https://doi.org/10.1063/5.0040161	journal	March 2021
The mitigating effect of magnetic fields on Rayleigh-Taylor unstable inertial confinement fusion plasmas Srinivasan, Bhuvana; Tang, Xian-Zhu Physics of Plasmas, Vol. 20, Issue 5 https://doi.org/10.1063/1.4803092	journal	May 2013
Tuning the Implosion Symmetry of ICF Targets via Controlled Crossed-Beam Energy Transfer Michel, P.; Divol, L.; Williams, E. A. Physical Review Letters, Vol. 102, Issue 2 https://doi.org/10.1103/PhysRevLett.102.025004	journal	January 2009
Burn regimes in the hydrodynamic scaling of perturbed inertial confinement fusion hotspots Tong, J. K.; McGlinchey, K.; Appelbe, B. D. Nuclear Fusion, Vol. 59, Issue 8 https://doi.org/10.1088/1741-4326/ab22d4	journal	June 2019
Enhancing performance of magnetized liner inertial fusion at the Z facility Slutz, S. A.; Gomez, M. R.; Hansen, S. B. Physics of Plasmas, Vol. 25, Issue 11 https://doi.org/10.1063/1.5054317	journal	November 2018
Use of external magnetic fields in hohlraum plasmas to improve laser-coupling Montgomery, D. S.; Albright, B. J.; Barnak, D. H. Physics of Plasmas, Vol. 22, Issue 1 https://doi.org/10.1063/1.4906055	journal	January 2015
The neutron imaging diagnostic at NIF (invited) Merrill, F. E.; Bower, D.; Buckles, R. Review of Scientific Instruments, Vol. 83, Issue 10 https://doi.org/10.1063/1.4739242	journal	October 2012
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
Three-dimensional simulations of low foot and high foot implosion experiments on the National Ignition Facility Clark, D. S.; Weber, C. R.; Milovich, J. L. Physics of Plasmas, Vol. 23, Issue 5 https://doi.org/10.1063/1.4943527	journal	March 2016
Diagnostic signatures of performance degrading perturbations in inertial confinement fusion implosions McGlinchey, K.; Appelbe, B. D.; Crilly, A. J. Physics of Plasmas, Vol. 25, Issue 12 https://doi.org/10.1063/1.5064504	journal	December 2018
Laser-driven magnetized liner inertial fusion on OMEGA Barnak, D. H.; Davies, J. R.; Betti, R. Physics of Plasmas, Vol. 24, Issue 5 https://doi.org/10.1063/1.4982692	journal	May 2017
Boosting Inertial-Confinement-Fusion Yield with Magnetized Fuel Moody, John D. Physics, Vol. 14 https://doi.org/10.1103/Physics.14.51	journal	May 2021
The evolution of magnetic tower jets in the laboratory Ciardi, A.; Lebedev, S. V.; Frank, A. Physics of Plasmas, Vol. 14, Issue 5 https://doi.org/10.1063/1.2436479	journal	May 2007
Integrated simulation of magnetic-field-assist fast ignition laser fusion Johzaki, T.; Nagatomo, H.; Sunahara, A. Plasma Physics and Controlled Fusion, Vol. 59, Issue 1 https://doi.org/10.1088/0741-3335/59/1/014045	journal	November 2016
Exploring extreme magnetization phenomena in directly driven imploding cylindrical targets Walsh, C. A.; Florido, R.; Bailly-Grandvaux, M. Plasma Physics and Controlled Fusion, Vol. 64, Issue 2 https://doi.org/10.1088/1361-6587/ac3f25	journal	January 2022
Scaling magnetized liner inertial fusion on Z and future pulsed-power accelerators Slutz, S. A.; Stygar, W. A.; Gomez, M. R. Physics of Plasmas, Vol. 23, Issue 2 https://doi.org/10.1063/1.4941100	journal	February 2016
Magnetized directly-driven ICF capsules: increased instability growth from non-uniform laser drive Walsh, C. A.; Crilly, A. J.; Chittenden, J. P. Nuclear Fusion, Vol. 60, Issue 10 https://doi.org/10.1088/1741-4326/abab52	journal	September 2020
High-Areal-Density Fuel Assembly in Direct-Drive Cryogenic Implosions Sangster, T. C.; Goncharov, V. N.; Radha, P. B. Physical Review Letters, Vol. 100, Issue 18 https://doi.org/10.1103/PhysRevLett.100.185006	journal	May 2008
Relativistically correct DD and DT neutron spectra Appelbe, B.; Chittenden, J. High Energy Density Physics, Vol. 11 https://doi.org/10.1016/j.hedp.2014.01.003	journal	June 2014
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
Impact of imposed mode 2 laser drive asymmetry on inertial confinement fusion implosions Gatu Johnson, M.; Appelbe, B. D.; Chittenden, J. P. Physics of Plasmas, Vol. 26, Issue 1 https://doi.org/10.1063/1.5066435	journal	January 2019
Biermann battery magnetic fields in ICF capsules: Total magnetic flux generation Walsh, C. A.; Clark, D. S. Physics of Plasmas, Vol. 28, Issue 9 https://doi.org/10.1063/5.0059366	journal	September 2021
Preserving monotonicity in anisotropic diffusion Sharma, Prateek; Hammett, Gregory W. Journal of Computational Physics, Vol. 227, Issue 1 https://doi.org/10.1016/j.jcp.2007.07.026	journal	November 2007
Neutron yield enhancement and suppression by magnetization in laser-driven cylindrical implosions Hansen, E. C.; Davies, J. R.; Barnak, D. H. Physics of Plasmas, Vol. 27, Issue 6 https://doi.org/10.1063/1.5144447	journal	June 2020
Transport coefficients for magnetic-field evolution in inviscid magnetohydrodynamics Davies, J. R.; Wen, H.; Ji, Jeong-Young Physics of Plasmas, Vol. 28, Issue 1 https://doi.org/10.1063/5.0023445	journal	January 2021
Symmetric Set of Transport Coefficients for Collisional Magnetized Plasma Sadler, James D.; Walsh, Christopher A.; Li, Hui Physical Review Letters, Vol. 126, Issue 7 https://doi.org/10.1103/PhysRevLett.126.075001	journal	February 2021
Magnetohydrodynamics of laser-produced high-energy-density plasma in a strong external magnetic field Matsuo, Kazuki; Nagatomo, Hideo; Zhang, Zhe Physical Review E, Vol. 95, Issue 5 https://doi.org/10.1103/PhysRevE.95.053204	journal	May 2017
Beyond alpha-heating: driving inertially confined fusion implosions toward a burning-plasma state on the National Ignition Facility Hurricane, O. A.; Callahan, D. A.; Springer, P. T. Plasma Physics and Controlled Fusion, Vol. 61, Issue 1 https://doi.org/10.1088/1361-6587/aaed71	journal	November 2018
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
The potential of imposed magnetic fields for enhancing ignition probability and fusion energy yield in indirect-drive inertial confinement fusion Perkins, L. J.; Ho, D. D. -M; Logan, B. G. Physics of Plasmas, Vol. 24, Issue 6 https://doi.org/10.1063/1.4985150	journal	June 2017
Transport Phenomena in a Completely Ionized Gas Spitzer, Lyman; Härm, Richard Physical Review, Vol. 89, Issue 5 https://doi.org/10.1103/PhysRev.89.977	journal	March 1953
Magnetized ablative Rayleigh-Taylor instability in three dimensions Walsh, C. A. Physical Review E, Vol. 105, Issue 2 https://doi.org/10.1103/PhysRevE.105.025206	journal	February 2022
Three-dimensional modeling and hydrodynamic scaling of National Ignition Facility implosions Clark, D. S.; Weber, C. R.; Milovich, J. L. Physics of Plasmas, Vol. 26, Issue 5 https://doi.org/10.1063/1.5091449	journal	May 2019
Improved formulas for fusion cross-sections and thermal reactivities Bosch, H. -S; Hale, G. M. Nuclear Fusion, Vol. 33, Issue 12 https://doi.org/10.1088/0029-5515/33/12/513	journal	December 1993
Deficiencies in compression and yield in x-ray-driven implosions Thomas, C. A.; Campbell, E. M.; Baker, K. L. Physics of Plasmas, Vol. 27, Issue 11 https://doi.org/10.1063/5.0022187	journal	November 2020
Two-dimensional simulations of thermonuclear burn in ignition-scale inertial confinement fusion targets under compressed axial magnetic fields Perkins, L. J.; Logan, B. G.; Zimmerman, G. B. Physics of Plasmas, Vol. 20, Issue 7 https://doi.org/10.1063/1.4816813	journal	July 2013
Laser-driven magnetized liner inertial fusion Davies, J. R.; Barnak, D. H.; Betti, R. Physics of Plasmas, Vol. 24, Issue 6 https://doi.org/10.1063/1.4984779	journal	June 2017
Early-Time Symmetry Tuning in the Presence of Cross-Beam Energy Transfer in ICF Experiments on the National Ignition Facility Dewald, E. L.; Milovich, J. L.; Michel, P. Physical Review Letters, Vol. 111, Issue 23 https://doi.org/10.1103/PhysRevLett.111.235001	journal	December 2013
Magnetic Signatures of Radiation-Driven Double Ablation Fronts Campbell, P. T.; Walsh, C. A.; Russell, B. K. Physical Review Letters, Vol. 125, Issue 14 https://doi.org/10.1103/PhysRevLett.125.145001	journal	September 2020

Figures / Tables (8)

Similar Records

Diagnosing plasma magnetization in inertial confinement fusion implosions using secondary deuterium-tritium reactions

Journal Article · 2021 · Review of Scientific Instruments · OSTI ID:1787218

Sio, H.; Moody, J. D.; Ho, D. D.; +9 more

An analytic asymmetric-piston model for the impact of mode-1 shell asymmetry on ICF implosions

Journal Article · 2020 · Physics of Plasmas · OSTI ID:1637584

Hurricane, O. A.; Casey, D. T.; Landen, O.; +9 more

Understanding asymmetries using integrated simulations of capsule implosions in low gas-fill hohlraums at the National Ignition Facility

Journal Article · 2020 · Plasma Physics and Controlled Fusion · OSTI ID:1763185

Milovich, J. L.; Casey, D. C.; MacGowan, B.; +11 more

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
plasma confinement
thermal conductivity
heat transfer
flow instabilities
fusion energy
magnetohydrodynamics
electromagnetism
lasers
nuclear fusion

Title: Magnetized ICF implosions: Scaling of temperature and yield enhancement

Citation Formats

References (54)

Figures / Tables (8)

Similar Records

Related Subjects