Experimental Validation of Low-Z Ion-Stopping Formalisms around the Bragg Peak in High-Energy-Density Plasmas

Frenje, J. A.; Florido, R.; Mancini, R.; Nagayama, T.; Grabowski, P. E.; Rinderknecht, H.; Sio, H.; Zylstra, A.; Gatu Johnson, M.; Li, C. K.; Séguin, F. H.; Petrasso, R. D.; Glebov, V. Yu; Regan, S. P.

doi:10.1103/PhysRevLett.122.015002

Experimental Validation of Low- $Z$ Ion-Stopping Formalisms around the Bragg Peak in High-Energy-Density Plasmas

Journal Article · Mon Jan 07 23:00:00 EST 2019 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.122.015002· OSTI ID:1542701

Frenje, J. A. ^[1]; Florido, R. ^[2]; Mancini, R. ^[3]; Nagayama, T. ^[4]; Grabowski, P. E. ^[5]; Rinderknecht, H. ^[6]; Sio, H. ^[1]; Zylstra, A. ^[7]; Gatu Johnson, M. ^[1]; Li, C. K. ^[1]; Séguin, F. H. ^[1]; Petrasso, R. D. ^[1]; Glebov, V. Yu ^[6]; Regan, S. P. ^[6]

Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Univ. de Las Palmas de Gran Canaria, Las Palmas de Gran Canaria (Spain)
Univ. of Nevada, Reno, NV (United States)
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Univ. of Rochester, Rochester, NY (United States)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Here, we report on the first accurate validation of low-$$Z$$ ion-stopping formalisms in the regime ranging from low-velocity ion stopping—through the Bragg peak—to high-velocity ion stopping in well-characterized high-energy-density plasmas. These measurements were executed at electron temperatures and number densities in the range of 1.4–2.8 keV and 4 × 10²³ –8 × 10²³ cm^–3, respectively. For these conditions, it is experimentally demonstrated that the Brown-Preston-Singleton formalism provides a better description of the ion stopping than other formalisms around the Bragg peak, except for the ion stopping at v_i ~0.3v_th, where the Brown-Preston-Singleton formalism significantly underpredicts the observation. It is postulated that the inclusion of nuclear-elastic scattering, and possibly coupled modes of the plasma ions, in the modeling of the ion-ion interaction may explain the discrepancy of ~20% at this velocity, which would have an impact on our understanding of the alpha energy deposition and heating of the fuel ions, and thus reduce the ignition threshold in an ignition experiment.

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:: 1542701

Alternate ID(s):: OSTI ID: 1559506

Report Number(s):: LLNL-JRNL--756658; 943886

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 1 Vol. 122; ISSN 0031-9007; ISSN PRLTAO

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (39)

HYADES—A plasma hydrodynamics code for dense plasma studies Larsen, Jon T.; Lane, Stephen M. Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 51, Issue 1-2 https://doi.org/10.1016/0022-4073(94)90078-7	journal	January 1994
Stopping power of a quantum plasma — T-matrix approximation and dynamical screening Gericke, D. O.; Schlanges, M.; Kraeft, W. D. Physics Letters A, Vol. 222, Issue 4 https://doi.org/10.1016/0375-9601(96)00654-8	journal	November 1996
Initial performance results of the OMEGA laser system Boehly, T. R.; Brown, D. L.; Craxton, R. S. Optics Communications, Vol. 133, Issue 1-6 https://doi.org/10.1016/S0030-4018(96)00325-2	journal	January 1997
A TOF system to measure the energy loss of low energy ions in a hot dense plasma Shibata, K.; Sakumi, A.; Sato, R. Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, Vol. 161-163 https://doi.org/10.1016/S0168-583X(99)00935-0	journal	March 2000
Experimental investigation of the effective charge state of ions in beam–plasma interaction Golubev, A.; Turtikov, V.; Fertman, A. Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 464, Issue 1-3 https://doi.org/10.1016/S0168-9002(01)00043-2	journal	May 2001
Experiments on the interaction of heavy ions with dense plasma at GSI-Darmstadt Stöckl, C.; Boine-Frankenheim, O.; Geißel, M. Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 415, Issue 3 https://doi.org/10.1016/S0168-9002(98)00370-2	journal	October 1998
Stopping of heavy ions in plasmas at strong coupling Zwicknagel, Günter; Toepffer, Christian; Reinhard, Paul-Gerhard Physics Reports, Vol. 309, Issue 3 https://doi.org/10.1016/S0370-1573(98)00056-8	journal	February 1999
Large-scale molecular dynamics simulations of dense plasmas: The Cimarron Project Graziani, Frank R.; Batista, Victor S.; Benedict, Lorin X. High Energy Density Physics, Vol. 8, Issue 1 https://doi.org/10.1016/j.hedp.2011.06.010	journal	March 2012
Charged particle motion in a highly ionized plasma Brown, L.; Preston, D.; Singletonjr, R. Physics Reports, Vol. 410, Issue 4 https://doi.org/10.1016/j.physrep.2005.01.001	journal	May 2005
T-matrix Approximation of the Stopping Power Gericke, D. O.; Schlanges, M.; Kraeft, W. D. Laser and Particle Beams, Vol. 15, Issue 4 https://doi.org/10.1017/S0263034600011101	journal	December 1997
Experimental discrimination of ion stopping models near the Bragg peak in highly ionized matter Cayzac, W.; Frank, A.; Ortner, A. Nature Communications, Vol. 8, Issue 1 https://doi.org/10.1038/ncomms15693	journal	June 2017
Inertially confined fusion plasmas dominated by alpha-particle self-heating Hurricane, O. A.; Callahan, D. A.; Casey, D. T. Nature Physics, Vol. 12, Issue 8 https://doi.org/10.1038/nphys3720	journal	April 2016
Born random phase approximation for ion stopping in an arbitrarily degenerate electron fluid Maynard, G.; Deutsch, C. Journal de Physique, Vol. 46, Issue 7 https://doi.org/10.1051/jphys:019850046070111300	journal	January 1985
Charged-particle acceleration and energy loss in laser-produced plasmas Hicks, D. G.; Li, C. K.; Séguin, F. H. Physics of Plasmas, Vol. 7, Issue 12 https://doi.org/10.1063/1.1320467	journal	December 2000
Hard x-ray detectors for OMEGA and NIF Stoeckl, C.; Glebov, V. Yu.; Meyerhofer, D. D. Review of Scientific Instruments, Vol. 72, Issue 1 https://doi.org/10.1063/1.1322621	journal	January 2001
Spectrometry of charged particles from inertial-confinement-fusion plasmas Séguin, F. H.; Frenje, J. A.; Li, C. K. Review of Scientific Instruments, Vol. 74, Issue 2 https://doi.org/10.1063/1.1518141	journal	February 2003
Convergent Classical Kinetic Equation for a Plasma Frieman, E. A.; Book, D. L. Physics of Fluids, Vol. 6, Issue 12 https://doi.org/10.1063/1.1711012	journal	January 1963
Prototypes of National Ignition Facility neutron time-of-flight detectors tested on OMEGA Glebov, V. Yu.; Stoeckl, C.; Sangster, T. C. Review of Scientific Instruments, Vol. 75, Issue 10 https://doi.org/10.1063/1.1788875	journal	October 2004
D3He-proton emission imaging for inertial-confinement-fusion experiments (invited) Séguin, F. H.; DeCiantis, J. L.; Frenje, J. A. Review of Scientific Instruments, Vol. 75, Issue 10 https://doi.org/10.1063/1.1788892	journal	October 2004
Low velocity ion stopping in binary ionic mixtures Tashev, Bekbolat; Baimbetov, Fazylkhan; Deutsch, Claude Physics of Plasmas, Vol. 15, Issue 10 https://doi.org/10.1063/1.2988337	journal	October 2008
A finite material temperature model for ion energy deposition in ion‐driven inertial confinement fusion targets Mehlhorn, Thomas A. Journal of Applied Physics, Vol. 52, Issue 11 https://doi.org/10.1063/1.328602	journal	November 1981
Direct asymmetry measurement of temperature and density spatial distributions in inertial confinement fusion plasmas from pinhole space-resolved spectra Nagayama, T.; Mancini, R. C.; Florido, R. Physics of Plasmas, Vol. 21, Issue 5 https://doi.org/10.1063/1.4875741	journal	May 2014
A Particle X-ray Temporal Diagnostic (PXTD) for studies of kinetic, multi-ion effects, and ion-electron equilibration rates in Inertial Confinement Fusion plasmas at OMEGA (invited) Sio, H.; Frenje, J. A.; Katz, J. Review of Scientific Instruments, Vol. 87, Issue 11 https://doi.org/10.1063/1.4961552	journal	September 2016
The National Ignition Facility: enabling fusion ignition for the 21st century Miller, George H.; Moses, Edward I.; Wuest, Craig R. Nuclear Fusion, Vol. 44, Issue 12 https://doi.org/10.1088/0029-5515/44/12/S14	journal	November 2004
Energy loss and straggling of ions with any velocity in dense plasmas at any temperature Maynard, Gilles; Deutsch, Claude Physical Review A, Vol. 26, Issue 1 https://doi.org/10.1103/PhysRevA.26.665	journal	July 1982
Energy loss of heavy ions in a plasma target Hoffmann, D. H. H.; Weyrich, K.; Wahl, H. Physical Review A, Vol. 42, Issue 4 https://doi.org/10.1103/PhysRevA.42.2313	journal	August 1990
Energy loss of heavy ions in dense plasma. I. Linear and nonlinear Vlasov theory for the stopping power Peter, Thomas; Meyer-ter-Vehn, Jürgen Physical Review A, Vol. 43, Issue 4 https://doi.org/10.1103/PhysRevA.43.1998	journal	February 1991
Measurement of the Coulomb energy loss by fast protons in a plasma target Belyaev, G.; Basko, M.; Cherkasov, A. Physical Review E, Vol. 53, Issue 3 https://doi.org/10.1103/PhysRevE.53.2701	journal	March 1996
Molecular Dynamics Simulations of Classical Stopping Power Grabowski, Paul E.; Surh, Michael P.; Richards, David F. Physical Review Letters, Vol. 111, Issue 21 https://doi.org/10.1103/PhysRevLett.111.215002	journal	November 2013
Erratum: Charged-Particle Stopping Powers in Inertial Confinement Fusion Plasmas [Phys. Rev. Lett. 70 , 3059 (1993)] Li, Chi-Kang; Petrasso, Richard D. Physical Review Letters, Vol. 114, Issue 19 https://doi.org/10.1103/PhysRevLett.114.199901	journal	May 2015
Measurement of Charged-Particle Stopping in Warm Dense Plasma Zylstra, A. B.; Frenje, J. A.; Grabowski, P. E. Physical Review Letters, Vol. 114, Issue 21 https://doi.org/10.1103/PhysRevLett.114.215002	journal	May 2015
Measurements of Ion Stopping Around the Bragg Peak in High-Energy-Density Plasmas Frenje, J. A.; Grabowski, P. E.; Li, C. K. Physical Review Letters, Vol. 115, Issue 20 https://doi.org/10.1103/PhysRevLett.115.205001	journal	November 2015
Measurements of Enhanced Stopping of 1-MeV Deuterons in Target-Ablation Plasmas Young, F. C.; Mosher, D.; Stephanakis, S. J. Physical Review Letters, Vol. 49, Issue 8 https://doi.org/10.1103/PhysRevLett.49.549	journal	August 1982
Charged-particle stopping powers in inertial confinement fusion plasmas Li, Chi-Kang; Petrasso, Richard D. Physical Review Letters, Vol. 70, Issue 20 https://doi.org/10.1103/PhysRevLett.70.3059	journal	May 1993
Stopping of Heavy Ions in a Hydrogen Plasma Jacoby, J.; Hoffmann, D. H. H.; Laux, W. Physical Review Letters, Vol. 74, Issue 9 https://doi.org/10.1103/PhysRevLett.74.1550	journal	February 1995
Effects of alpha stopping power modelling on the ignition threshold in a directly-driven inertial confinement fusion capsule Temporal, Mauro; Canaud, Benoit; Cayzac, Witold The European Physical Journal D, Vol. 71, Issue 5 https://doi.org/10.1140/epjd/e2017-80126-6	journal	May 2017
Unified Theory of Relaxations in Plasmas, I. Basic Theorem Kihara, Taro; Aono, Osamu Journal of the Physical Society of Japan, Vol. 18, Issue 6 https://doi.org/10.1143/JPSJ.18.837	journal	June 1963
Energy loss of heavy ions in laser-produced plasmas Roth, M.; Stöckl, C.; Süß, W. Europhysics Letters (EPL), Vol. 50, Issue 1 https://doi.org/10.1209/epl/i2000-00230-6	journal	April 2000
Experiments on the Interaction of Heavy-Ion Beams with Dense Plasmas Stöckl, C.; Roth, M.; Süß, W. Fusion Technology, Vol. 31, Issue 2 https://doi.org/10.13182/FST97-A30819	journal	March 1997

Cited By (7)

Effects of Coulomb coupling on stopping power and a link to macroscopic transport Bernstein, David J.; Baalrud, Scott D.; Daligault, Jérôme Physics of Plasmas, Vol. 26, Issue 8 https://doi.org/10.1063/1.5095419	journal	August 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
Modified parameterization of the Li-Petrasso charged-particle stopping power theory Zylstra, A. B.; Rinderknecht, H. G.; Frenje, J. A. Physics of Plasmas, Vol. 26, Issue 12 https://doi.org/10.1063/1.5114637	journal	December 2019
Exploring the crossover between high-energy-density plasma and ultracold neutral plasma physics Bergeson, Scott D.; Baalrud, Scott D.; Ellison, C. Leland Physics of Plasmas, Vol. 26, Issue 10 https://doi.org/10.1063/1.5119144	journal	October 2019
Transverse force induced by a magnetized wake Lafleur, Trevor; Baalrud, Scott D. Plasma Physics and Controlled Fusion, Vol. 61, Issue 12 https://doi.org/10.1088/1361-6587/ab45d4	journal	October 2019
Nuclear diagnostics for Inertial Confinement Fusion (ICF) plasmas Frenje, J. A. Plasma Physics and Controlled Fusion, Vol. 62, Issue 2 https://doi.org/10.1088/1361-6587/ab5137	journal	January 2020
Neutron Time-of-Flight Measurements of Charged-Particle Energy Loss in Inertial Confinement Fusion Plasmas Sayre, D. B.; Cerjan, C. J.; Sepke, S. M. Physical Review Letters, Vol. 123, Issue 16 https://doi.org/10.1103/physrevlett.123.165001	journal	October 2019

Similar Records

Experimental Validation of Low-Z Ion-Stopping Formalisms Around the Bragg Peak in High-Energy-Density Plasmas

Dataset · Mon Dec 03 23:00:00 EST 2018 · OSTI ID:1880313

Measurements of ion stopping around the Bragg peak in high-energy-density plasmas

Journal Article · Sun Nov 08 23:00:00 EST 2015 · Physical Review Letters · OSTI ID:1261629

Charged particle stopping power effects on ignition: Some results from an exact calculation

Journal Article · Thu May 15 00:00:00 EDT 2008 · Physics of Plasmas · OSTI ID:21120379

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY

Experimental Validation of Low- Z Ion-Stopping Formalisms around the Bragg Peak in High-Energy-Density Plasmas

Citation Formats

References (39)

Cited By (7)

Similar Records

Related Subjects

Experimental Validation of Low- $Z$ Ion-Stopping Formalisms around the Bragg Peak in High-Energy-Density Plasmas