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Title: Exploration of the Transition from the Hydrodynamic-like to the Strongly Kinetic Regime in Shock-Driven Implosions

Abstract

Clear evidence of the transition from hydrodynamiclike to strongly kinetic shock-driven implosions is, for the first time, revealed and quantitatively assessed. Implosions with a range of initial equimolar D3He gas densities show that as the density is decreased, hydrodynamic simulations strongly diverge from and increasingly over-predict the observed nuclear yields, from a factor of ~2 at 3.1 mg/cm3 to a factor of 100 at 0.14 mg/cm3. (The corresponding Knudsen number, the ratio of ion mean-free path to minimum shell radius, varied from 0.3 to 9; similarly, the ratio of fusion burn duration to ion diffusion time, another figure of merit of kinetic effects, varied from 0.3 to 14.) This result is shown to be unrelated to the effects of hydrodynamic mix. As a first step to garner insight into this transition, a reduced ion kinetic (RIK) model that includes gradient-diffusion and loss-term approximations to several transport processes was implemented within the framework of a one-dimensional radiation-transport code. After empirical calibration, the RIK simulations reproduce the observed yield trends, largely as a result of ion diffusion and the depletion of the reacting tail ions.

Authors:
 [1];  [1];  [2];  [3];  [4];  [1];  [1];  [1];  [1];  [1];  [1];  [1];  [5];  [5];  [5];  [5];  [6];  [5];  [5];  [5] more »;  [5];  [5];  [3];  [3];  [3];  [2];  [2];  [7] « less
+ Show Author Affiliations
  1. MIT (Massachusetts Inst. of Technology), Cambridge, MA (United States). Plasma Science and Fusion Center
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  3. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
  4. Univ. of Roma, Roma (Italy). Dipartimento SBAI
  5. Univ. of Rochester, NY (United States). Lab. for Laser Energetics
  6. Univ. of Rochester, NY (United States). Lab. for Laser EnergeticsUniv. of Rochester, NY (United States). Lab. for Laser Energetics
  7. General Atomics, San Diego, CA (United States)
Publication Date:
Research Org.:
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Plasma Science and Fusion Center
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1172483
Grant/Contract Number:  
NA0001857; FC52-08NA28752; 5-24431; NA0002035; 415935-G; 2012 C26A12CZH2; PRIN 2009FCC9MS; B597367
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 112; Journal Issue: 18; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY

Citation Formats

Rosenberg, M. J., Rinderknecht, H. G., Hoffman, N. M., Amendt, P. A., Atzeni, S., Zylstra, A. B., Li, C. K., Seguin, F. H., Sio, H., Johnson, M. Gatu, Frenje, J. A., Petrasso, R. D., Glebov, V. Yu., Stoeckl, C., Seka, W., Marshall, F. J., Delettrez, J. A., Sangster, T. C., Betti, R., Goncharov, V. N., Meyerhofer, D. D., Skupsky, S., Bellei, C., Pino, J., Wilks, S. C., Kagan, G., Molvig, K., and Nikroo, A. Exploration of the Transition from the Hydrodynamic-like to the Strongly Kinetic Regime in Shock-Driven Implosions. United States: N. p., 2014. Web. doi:10.1103/PhysRevLett.112.185001.
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Rosenberg, M. J., Rinderknecht, H. G., Hoffman, N. M., Amendt, P. A., Atzeni, S., Zylstra, A. B., Li, C. K., Seguin, F. H., Sio, H., Johnson, M. Gatu, Frenje, J. A., Petrasso, R. D., Glebov, V. Yu., Stoeckl, C., Seka, W., Marshall, F. J., Delettrez, J. A., Sangster, T. C., Betti, R., Goncharov, V. N., Meyerhofer, D. D., Skupsky, S., Bellei, C., Pino, J., Wilks, S. C., Kagan, G., Molvig, K., & Nikroo, A. Exploration of the Transition from the Hydrodynamic-like to the Strongly Kinetic Regime in Shock-Driven Implosions. United States. https://doi.org/10.1103/PhysRevLett.112.185001
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Rosenberg, M. J., Rinderknecht, H. G., Hoffman, N. M., Amendt, P. A., Atzeni, S., Zylstra, A. B., Li, C. K., Seguin, F. H., Sio, H., Johnson, M. Gatu, Frenje, J. A., Petrasso, R. D., Glebov, V. Yu., Stoeckl, C., Seka, W., Marshall, F. J., Delettrez, J. A., Sangster, T. C., Betti, R., Goncharov, V. N., Meyerhofer, D. D., Skupsky, S., Bellei, C., Pino, J., Wilks, S. C., Kagan, G., Molvig, K., and Nikroo, A. Mon . "Exploration of the Transition from the Hydrodynamic-like to the Strongly Kinetic Regime in Shock-Driven Implosions". United States. https://doi.org/10.1103/PhysRevLett.112.185001. https://www.osti.gov/servlets/purl/1172483.
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@article{osti_1172483,
title = {Exploration of the Transition from the Hydrodynamic-like to the Strongly Kinetic Regime in Shock-Driven Implosions},
author = {Rosenberg, M. J. and Rinderknecht, H. G. and Hoffman, N. M. and Amendt, P. A. and Atzeni, S. and Zylstra, A. B. and Li, C. K. and Seguin, F. H. and Sio, H. and Johnson, M. Gatu and Frenje, J. A. and Petrasso, R. D. and Glebov, V. Yu. and Stoeckl, C. and Seka, W. and Marshall, F. J. and Delettrez, J. A. and Sangster, T. C. and Betti, R. and Goncharov, V. N. and Meyerhofer, D. D. and Skupsky, S. and Bellei, C. and Pino, J. and Wilks, S. C. and Kagan, G. and Molvig, K. and Nikroo, A.},
abstractNote = {Clear evidence of the transition from hydrodynamiclike to strongly kinetic shock-driven implosions is, for the first time, revealed and quantitatively assessed. Implosions with a range of initial equimolar D3He gas densities show that as the density is decreased, hydrodynamic simulations strongly diverge from and increasingly over-predict the observed nuclear yields, from a factor of ~2 at 3.1 mg/cm3 to a factor of 100 at 0.14 mg/cm3. (The corresponding Knudsen number, the ratio of ion mean-free path to minimum shell radius, varied from 0.3 to 9; similarly, the ratio of fusion burn duration to ion diffusion time, another figure of merit of kinetic effects, varied from 0.3 to 14.) This result is shown to be unrelated to the effects of hydrodynamic mix. As a first step to garner insight into this transition, a reduced ion kinetic (RIK) model that includes gradient-diffusion and loss-term approximations to several transport processes was implemented within the framework of a one-dimensional radiation-transport code. After empirical calibration, the RIK simulations reproduce the observed yield trends, largely as a result of ion diffusion and the depletion of the reacting tail ions.},
doi = {10.1103/PhysRevLett.112.185001},
journal = {Physical Review Letters},
number = 18,
volume = 112,
place = {United States},
year = {Mon May 05 00:00:00 EDT 2014},
month = {Mon May 05 00:00:00 EDT 2014}
}
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https://doi.org/10.1103/PhysRevLett.112.185001
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