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Title: The physics of long- and intermediate-wavelength asymmetries of the hot spot: Compression hydrodynamics and energetics

Abstract

To achieve ignition with inertial confinement fusion (ICF), it is important to under- stand the effect of asymmetries on the hydrodynamics and energetics of the compres- sion. This paper describes a theoretical model for the compression of distorted hot spots, and quantitative estimates using hydrodynamic simulations. The asymmetries are categorized into low (Ι < 6) and intermediate (Ι < A < 40) modes by comparison of the wavelength with the thermal-diffusion scale length. Long-wavelength modes introduce substantial nonradial motion, whereas intermediate-wavelength modes in- volve more cooling by thermal ablation. We discover that for distorted hot spots, the measured neutron-averaged properties can be very different from the real hydro- dynamic conditions. This is because mass ablation driven my thermal conduction introduces flows in the Rayleigh–Taylor bubbles, this results in pressure variation, in addition to temperature variation between the bubbles and the neutron-producing region (~1 keV for intermediate modes). The differences are less pronounced for long-wavelength asymmetries since the bubbles are relatively hot and sustain fusion reactions. The yield degradation$-$ with respect to the symmetric$-$ results primarily from a reduction in the hot-spot pressure for low modes and from a reduction in burn volume for intermediate modes. It is shown that themore » degradation in internal energy of the hot-spot is equivalent for both categories, and is equal to the total residual energy in the shell including the bubbles. This quantity is correlated with the shell residual kinetic energy for low-modes, and includes the kinetic energy in the bubbles for mid-modes.« less

Authors:
ORCiD logo [1];  [2];  [3];  [2]
  1. Univ. of Rochester, Rochester, NY (United States); Univ. of Michigan, Ann Arbor, MI (United States)
  2. Univ. of Rochester, Rochester, NY (United States)
  3. Univ. of Michigan, Ann Arbor, MI (United States); NRCN, Beer Sheva (Israel)
Publication Date:
Research Org.:
Univ. of Rochester, Rochester, NY (United States). Lab. for Laser Energetics
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
Contributing Org.:
Laboratory for Laser Energetics, University of Rochester
OSTI Identifier:
1405332
Alternate Identifier(s):
OSTI ID: 1396067
Report Number(s):
2016-260, 1358
Journal ID: ISSN 1070-664X; 2016-260, 2316, 1358; TRN: US1703252
Grant/Contract Number:  
NA0001944; FC02-04ER54789; B614207
Resource Type:
Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 24; Journal Issue: 10; 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

Citation Formats

Bose, A., Betti, R., Shvarts, D., and Woo, K. M. The physics of long- and intermediate-wavelength asymmetries of the hot spot: Compression hydrodynamics and energetics. United States: N. p., 2017. Web. doi:10.1063/1.4995250.
Bose, A., Betti, R., Shvarts, D., & Woo, K. M. The physics of long- and intermediate-wavelength asymmetries of the hot spot: Compression hydrodynamics and energetics. United States. doi:10.1063/1.4995250.
Bose, A., Betti, R., Shvarts, D., and Woo, K. M. Tue . "The physics of long- and intermediate-wavelength asymmetries of the hot spot: Compression hydrodynamics and energetics". United States. doi:10.1063/1.4995250. https://www.osti.gov/servlets/purl/1405332.
@article{osti_1405332,
title = {The physics of long- and intermediate-wavelength asymmetries of the hot spot: Compression hydrodynamics and energetics},
author = {Bose, A. and Betti, R. and Shvarts, D. and Woo, K. M.},
abstractNote = {To achieve ignition with inertial confinement fusion (ICF), it is important to under- stand the effect of asymmetries on the hydrodynamics and energetics of the compres- sion. This paper describes a theoretical model for the compression of distorted hot spots, and quantitative estimates using hydrodynamic simulations. The asymmetries are categorized into low (Ι < 6) and intermediate (Ι < A < 40) modes by comparison of the wavelength with the thermal-diffusion scale length. Long-wavelength modes introduce substantial nonradial motion, whereas intermediate-wavelength modes in- volve more cooling by thermal ablation. We discover that for distorted hot spots, the measured neutron-averaged properties can be very different from the real hydro- dynamic conditions. This is because mass ablation driven my thermal conduction introduces flows in the Rayleigh–Taylor bubbles, this results in pressure variation, in addition to temperature variation between the bubbles and the neutron-producing region (~1 keV for intermediate modes). The differences are less pronounced for long-wavelength asymmetries since the bubbles are relatively hot and sustain fusion reactions. The yield degradation$-$ with respect to the symmetric$-$ results primarily from a reduction in the hot-spot pressure for low modes and from a reduction in burn volume for intermediate modes. It is shown that the degradation in internal energy of the hot-spot is equivalent for both categories, and is equal to the total residual energy in the shell including the bubbles. This quantity is correlated with the shell residual kinetic energy for low-modes, and includes the kinetic energy in the bubbles for mid-modes.},
doi = {10.1063/1.4995250},
journal = {Physics of Plasmas},
number = 10,
volume = 24,
place = {United States},
year = {2017},
month = {10}
}

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Works referenced in this record:

Solution to Rayleigh-Taylor instabilities: Bubbles, spikes, and their scalings
journal, May 2014


Hydrodynamic scaling of the deceleration-phase Rayleigh–Taylor instability
journal, July 2015

  • Bose, A.; Woo, K. M.; Nora, R.
  • Physics of Plasmas, Vol. 22, Issue 7
  • DOI: 10.1063/1.4923438

Thermonuclear ignition in inertial confinement fusion and comparison with magnetic confinement
journal, May 2010

  • Betti, R.; Chang, P. Y.; Spears, B. K.
  • Physics of Plasmas, Vol. 17, Issue 5
  • DOI: 10.1063/1.3380857

Analytical model of the ablative Rayleigh–Taylor instability in the deceleration phase
journal, April 2005


Mitigating the impact of hohlraum asymmetries in National Ignition Facility implosions using capsule shims
journal, July 2016

  • Clark, D. S.; Weber, C. R.; Smalyuk, V. A.
  • Physics of Plasmas, Vol. 23, Issue 7
  • DOI: 10.1063/1.4958812

Zonal flow generation in inertial confinement fusion implosions
journal, March 2017

  • Peterson, J. L.; Humbird, K. D.; Field, J. E.
  • Physics of Plasmas, Vol. 24, Issue 3
  • DOI: 10.1063/1.4977912

Ignition condition and gain prediction for perturbed inertial confinement fusion targets
journal, November 2001

  • Kishony, Roy; Shvarts, Dov
  • Physics of Plasmas, Vol. 8, Issue 11
  • DOI: 10.1063/1.1412009

Deceleration phase of inertial confinement fusion implosions
journal, May 2002

  • Betti, R.; Anderson, K.; Goncharov, V. N.
  • Physics of Plasmas, Vol. 9, Issue 5
  • DOI: 10.1063/1.1459458

Hot-spot dynamics and deceleration-phase Rayleigh–Taylor instability of imploding inertial confinement fusion capsules
journal, December 2001

  • Betti, R.; Umansky, M.; Lobatchev, V.
  • Physics of Plasmas, Vol. 8, Issue 12
  • DOI: 10.1063/1.1412006

Crossed-beam energy transfer in direct-drive implosions
journal, May 2012

  • Igumenshchev, I. V.; Seka, W.; Edgell, D. H.
  • Physics of Plasmas, Vol. 19, Issue 5, Article No. 056314
  • DOI: 10.1063/1.4718594

Generalized Measurable Ignition Criterion for Inertial Confinement Fusion
journal, April 2010


Performance of direct-drive cryogenic targets on OMEGA
journal, May 2008

  • Goncharov, V. N.; Sangster, T. C.; Radha, P. B.
  • Physics of Plasmas, Vol. 15, Issue 5
  • DOI: 10.1063/1.2856551

Improving the hot-spot pressure and demonstrating ignition hydrodynamic equivalence in cryogenic deuterium–tritium implosions on OMEGA
journal, May 2014

  • Goncharov, V. N.; Sangster, T. C.; Betti, R.
  • Physics of Plasmas, Vol. 21, Issue 5
  • DOI: 10.1063/1.4876618

Core conditions for alpha heating attained in direct-drive inertial confinement fusion
journal, July 2016


Low Fuel Convergence Path to Direct-Drive Fusion Ignition
journal, June 2016


Alpha Heating and Burning Plasmas in Inertial Confinement Fusion
journal, June 2015


Development of Improved Radiation Drive Environment for High Foot Implosions at the National Ignition Facility
journal, November 2016


Metrics for long wavelength asymmetries in inertial confinement fusion implosions on the National Ignition Facility
journal, April 2014

  • Kritcher, A. L.; Town, R.; Bradley, D.
  • Physics of Plasmas, Vol. 21, Issue 4
  • DOI: 10.1063/1.4871718

Ablative Stabilization of the Deceleration Phase Rayleigh-Taylor Instability
journal, November 2000


Effect of laser illumination nonuniformity on the analysis of time-resolved x-ray measurements in uv spherical transport experiments
journal, October 1987


Direct-drive inertial confinement fusion: A review
journal, November 2015

  • Craxton, R. S.; Anderson, K. S.; Boehly, T. R.
  • Physics of Plasmas, Vol. 22, Issue 11
  • DOI: 10.1063/1.4934714

The physics basis for ignition using indirect-drive targets on the National Ignition Facility
journal, February 2004

  • Lindl, John D.; Amendt, Peter; Berger, Richard L.
  • Physics of Plasmas, Vol. 11, Issue 2
  • DOI: 10.1063/1.1578638

Mode 1 drive asymmetry in inertial confinement fusion implosions on the National Ignition Facility
journal, April 2014

  • Spears, Brian K.; Edwards, M. J.; Hatchett, S.
  • Physics of Plasmas, Vol. 21, Issue 4
  • DOI: 10.1063/1.4870390

Direct-drive laser fusion: Status and prospects
journal, May 1998

  • Bodner, Stephen E.; Colombant, Denis G.; Gardner, John H.
  • Physics of Plasmas, Vol. 5, Issue 5, p. 1901-1918
  • DOI: 10.1063/1.872861

First Investigation on the Radiation Field of the Spherical Hohlraum
journal, July 2016


Demonstration of Fuel Hot-Spot Pressure in Excess of 50 Gbar for Direct-Drive, Layered Deuterium-Tritium Implosions on OMEGA
journal, July 2016


Self-consistent analysis of the hot spot dynamics for inertial confinement fusion capsules
journal, November 2005

  • Sanz, J.; Garnier, J.; Cherfils, C.
  • Physics of Plasmas, Vol. 12, Issue 11
  • DOI: 10.1063/1.2130315

Neutron yield study of direct-drive, low-adiabat cryogenic D2 implosions on OMEGA laser system
journal, November 2009

  • Hu, S. X.; Radha, P. B.; Marozas, J. A.
  • Physics of Plasmas, Vol. 16, Issue 11
  • DOI: 10.1063/1.3259355

Assessing the prospects for achieving double-shell ignition on the National Ignition Facility using vacuum hohlraums
journal, May 2007

  • Amendt, Peter; Cerjan, C.; Hamza, A.
  • Physics of Plasmas, Vol. 14, Issue 5
  • DOI: 10.1063/1.2716406

Inertial-confinement fusion with lasers
journal, May 2016

  • Betti, R.; Hurricane, O. A.
  • Nature Physics, Vol. 12, Issue 5
  • DOI: 10.1038/nphys3736

Laser Compression of Matter to Super-High Densities: Thermonuclear (CTR) Applications
journal, September 1972

  • Nuckolls, John; Wood, Lowell; Thiessen, Albert
  • Nature, Vol. 239, Issue 5368, p. 139-142
  • DOI: 10.1038/239139a0

A measurable Lawson criterion and hydro-equivalent curves for inertial confinement fusion
journal, October 2008

  • Zhou, C. D.; Betti, R.
  • Physics of Plasmas, Vol. 15, Issue 10
  • DOI: 10.1063/1.2998604

The effect of turbulent kinetic energy on inferred ion temperature from neutron spectra
journal, July 2014


Improved formulas for fusion cross-sections and thermal reactivities
journal, April 1992


Integrated modeling of cryogenic layered highfoot experiments at the NIF
journal, May 2016

  • Kritcher, A. L.; Hinkel, D. E.; Callahan, D. A.
  • Physics of Plasmas, Vol. 23, Issue 5
  • DOI: 10.1063/1.4949351

Theory of hydro-equivalent ignition for inertial fusion and its applications to OMEGA and the National Ignition Facility
journal, May 2014

  • Nora, R.; Betti, R.; Anderson, K. S.
  • Physics of Plasmas, Vol. 21, Issue 5
  • DOI: 10.1063/1.4875331

Improved formulas for fusion cross-sections and thermal reactivities
journal, December 1993