A thermodynamic condition for ignition and burn-propagation in cryogenic layer inertially confined fusion implosions

Hurricane, O. A.; Maclaren, S. A.; Rosen, M. D.; Hammer, J. H.; Springer, P. T.; Betti, R.

doi:10.1063/5.0035583

A thermodynamic condition for ignition and burn-propagation in cryogenic layer inertially confined fusion implosions

Journal Article · Mon Feb 01 23:00:00 EST 2021 · Physics of Plasmas

DOI:https://doi.org/10.1063/5.0035583· OSTI ID:1763935

^[1]; ^[1]; Rosen, M. D. ^[1]; Hammer, J. H. ^[1]; Springer, P. T. ^[1]; Betti, R. ^[2]

Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Univ. of Rochester, NY (United States). Lab. for Laser Energetics

A Lawson-like criterion for ignition (where self-heating dominates over all energy losses) in a dynamic implosion is developed, which accounts for asymmetry and for differences in an implosion x-ray confinement quality. It is shown that the thermodynamic ignition condition is equivalent to yield amplification levels of 16–32. Since negative pdV work of expansion after stagnation increases energy losses above that of x-ray and electron-conduction losses, the Lawson-like ignition criterion is necessary but not sufficient for igniting the hot spot to propagate into the DT fuel with sufficient vigor to generate high gain. Additionally, a higher dimensional generalization of the Lawson-like criterion, which includes the cooling of the implosion upon disassembly, does provide the needed criteria, and it shows that significantly higher temperature is needed for very high levels of yield amplification compared to what traditional ignition metrics imply.

View Accepted Manuscript (DOE)

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

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

Grant/Contract Number:: AC52-07NA27344

OSTI ID:: 1763935

Alternate ID(s):: OSTI ID: 1970562

Report Number(s):: LLNL-JRNL--795287; 996447

Journal Information:: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 2 Vol. 28; ISSN 1070-664X

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

Country of Publication:: United States

Language:: English

References (30)

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
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
Ignition condition and gain prediction for perturbed inertial confinement fusion targets Kishony, Roy; Shvarts, Dov Physics of Plasmas, Vol. 8, Issue 11 https://doi.org/10.1063/1.1412009	journal	November 2001
Deceleration phase of inertial confinement fusion implosions Betti, R.; Anderson, K.; Goncharov, V. N. Physics of Plasmas, Vol. 9, Issue 5 https://doi.org/10.1063/1.1459458	journal	May 2002
Publisher’s Note: “A measurable Lawson criterion and hydro-equivalent curves for inertial confinement fusion” [Phys. Plasmas 15, 102707 (2008)] Zhou, C. D.; Betti, R. Physics of Plasmas, Vol. 16, Issue 7 https://doi.org/10.1063/1.3152994	journal	July 2009
Thermonuclear ignition in inertial confinement fusion and comparison with magnetic confinement Betti, R.; Chang, P. Y.; Spears, B. K. Physics of Plasmas, Vol. 17, Issue 5 https://doi.org/10.1063/1.3380857	journal	May 2010
Performance metrics for inertial confinement fusion implosions: Aspects of the technical framework for measuring progress in the National Ignition Campaign Spears, Brian K.; Glenzer, S.; Edwards, M. J. Physics of Plasmas, Vol. 19, Issue 5 https://doi.org/10.1063/1.3696743	journal	May 2012
Metrics for long wavelength asymmetries in inertial confinement fusion implosions on the National Ignition Facility Kritcher, A. L.; Town, R.; Bradley, D. Physics of Plasmas, Vol. 21, Issue 4 https://doi.org/10.1063/1.4871718	journal	April 2014
Effects of residual kinetic energy on yield degradation and ion temperature asymmetries in inertial confinement fusion implosions Woo, K. M.; Betti, R.; Shvarts, D. Physics of Plasmas, Vol. 25, Issue 5 https://doi.org/10.1063/1.5026706	journal	May 2018
Theory of alpha heating in inertial fusion: Alpha-heating metrics and the onset of the burning-plasma regime Christopherson, A. R.; Betti, R.; Howard, J. Physics of Plasmas, Vol. 25, Issue 7 https://doi.org/10.1063/1.5030337	journal	July 2018
Beryllium capsule implosions at a case-to-capsule ratio of 3.7 on the National Ignition Facility Zylstra, A. B.; Yi, S. A.; MacLaren, S. Physics of Plasmas, Vol. 25, Issue 10 https://doi.org/10.1063/1.5041285	journal	October 2018
Progress toward a self-consistent set of 1D ignition capsule metrics in ICF Lindl, J. D.; Haan, S. W.; Landen, O. L. Physics of Plasmas, Vol. 25, Issue 12 https://doi.org/10.1063/1.5049595	journal	December 2018
Approaching a burning plasma on the NIF Hurricane, O. A.; Springer, P. T.; Patel, P. K. Physics of Plasmas, Vol. 26, Issue 5 https://doi.org/10.1063/1.5087256	journal	May 2019
Implosion performance of subscale beryllium capsules on the NIF Zylstra, A. B.; MacLaren, S.; Yi, S. A. Physics of Plasmas, Vol. 26, Issue 5 https://doi.org/10.1063/1.5098319	journal	May 2019
On alpha-particle transport in inertial fusion Zylstra, A. B.; Hurricane, O. A. Physics of Plasmas, Vol. 26, Issue 6 https://doi.org/10.1063/1.5101074	journal	June 2019
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
Inertial confinement fusion ignition criteria, critical profiles, and burn wave propagation using self-similar solutions Kishony, Roy; Waxman, Eli; Shvarts, Dov Physics of Plasmas, Vol. 4, Issue 5 https://doi.org/10.1063/1.872314	journal	May 1997
Similarity solution of thermonuclear burn wave with electron and α-conductivities Gus'kov, S. Yu.; Krokhin, O. N.; Rozanov, V. B. Nuclear Fusion, Vol. 16, Issue 6 https://doi.org/10.1088/0029-5515/16/6/007	journal	December 1976
Some Criteria for a Power Producing Thermonuclear Reactor Lawson, J. D. Proceedings of the Physical Society. Section B, Vol. 70, Issue 1 https://doi.org/10.1088/0370-1301/70/1/303	journal	January 1957
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
A 3D dynamic model to assess the impacts of low-mode asymmetry, aneurysms and mix-induced radiative loss on capsule performance across inertial confinement fusion platforms Springer, P. T.; Hurricane, O. A.; Hammer, J. H. Nuclear Fusion, Vol. 59, Issue 3 https://doi.org/10.1088/1741-4326/aaed65	journal	December 2018
Scaling laws for ignition at the National Ignition Facility from first principles Cheng, Baolian; Kwan, Thomas J. T.; Wang, Yi-Ming Physical Review E, Vol. 88, Issue 4 https://doi.org/10.1103/PhysRevE.88.041101	journal	October 2013
Generalized Measurable Ignition Criterion for Inertial Confinement Fusion Chang, Py.; Betti, R.; Spears, B. K. Physical Review Letters, Vol. 104, Issue 13 https://doi.org/10.1103/PhysRevLett.104.135002	journal	April 2010
High-Adiabat High-Foot Inertial Confinement Fusion Implosion Experiments on the National Ignition Facility Park, H. -S.; Hurricane, O. A.; Callahan, D. A. Physical Review Letters, Vol. 112, Issue 5 https://doi.org/10.1103/PhysRevLett.112.055001	journal	February 2014
Design of a High-Foot High-Adiabat ICF Capsule for the National Ignition Facility Dittrich, T. R.; Hurricane, O. A.; Callahan, D. A. Physical Review Letters, Vol. 112, Issue 5 https://doi.org/10.1103/PhysRevLett.112.055002	journal	February 2014
Alpha Heating and Burning Plasmas in Inertial Confinement Fusion Betti, R.; Christopherson, A. R.; Spears, B. K. Physical Review Letters, Vol. 114, Issue 25 https://doi.org/10.1103/PhysRevLett.114.255003	journal	June 2015
Fusion Energy Output Greater than the Kinetic Energy of an Imploding Shell at the National Ignition Facility Le Pape, S.; Berzak Hopkins, L. F.; Divol, L. Physical Review Letters, Vol. 120, Issue 24 https://doi.org/10.1103/PhysRevLett.120.245003	journal	June 2018
High-Performance Indirect-Drive Cryogenic Implosions at High Adiabat on the National Ignition Facility Baker, K. L.; Thomas, C. A.; Casey, D. T. Physical Review Letters, Vol. 121, Issue 13 https://doi.org/10.1103/PhysRevLett.121.135001	journal	September 2018
Impact of Localized Radiative Loss on Inertial Confinement Fusion Implosions Pak, A.; Divol, L.; Weber, C. R. Physical Review Letters, Vol. 124, Issue 14 https://doi.org/10.1103/PhysRevLett.124.145001	journal	April 2020
Generalized Lawson Criteria for Inertial Confinement Fusion Tipton, Robert E. https://doi.org/10.2172/1234606 LLNL--TR-676592	report	August 2015

Similar Records

A pushered capsule implosion as an alternate approach to the ignition regime for inertial confinement fusion

Journal Article · Wed Dec 15 23:00:00 EST 2021 · Physics of Plasmas · OSTI ID:1860748

Thermonuclear ignition and the onset of propagating burn in inertial fusion implosions

Journal Article · Sun Feb 24 23:00:00 EST 2019 · Physical Review E · OSTI ID:1498067

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
Ignition
fusion experiments
thermodynamic properties

A thermodynamic condition for ignition and burn-propagation in cryogenic layer inertially confined fusion implosions

Citation Formats

References (30)

Similar Records

Related Subjects