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Title: Measurement of charged-particle stopping in warm-dense plasma

Abstract

We measured the stopping of energetic protons in an isochorically-heated solid-density Be plasma with an electron temperature of ~32 eV, corresponding to moderately-coupled [(e²/a/(kBTe + EF ) ~ 0.3] and moderately-degenerate [kBTe/EF ~2] 'warm dense matter' (WDM) conditions. We present the first high-accuracy measurements of charged-particle energy loss through dense plasma, which shows an increased loss relative to cold matter, consistent with a reduced mean ionization potential. The data agree with stopping models based on an ad-hoc treatment of free and bound electrons, as well as the average-atom local-density approximation; this work is the first test of these theories in WDM plasma.

Authors:
 [1];  [1];  [2];  [1];  [3];  [4];  [5];  [3];  [6];  [7];  [1];  [8];  [4];  [3];  [1];  [1]
  1. MIT (Massachusetts Inst. of Technology), Cambridge, MA (United States)
  2. Univ. of California Irvine, Irvine, CA (United States)
  3. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
  4. General Atomics, San Diego, CA (United States)
  5. SLAC National Accelerator Lab., Menlo Park, CA (United States)
  6. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
  7. Univ. of Rochester, NY (United States)
  8. Univ. of Michigan, Ann Arbor, MI (United States)
Publication Date:
Research Org.:
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Fusion Energy Sciences (FES); USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1183038
Alternate Identifier(s):
OSTI ID: 1183226
Grant/Contract Number:  
NA0001857; NA0002035; FC52-08NA28752; B597367; 415935- G
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 114; Journal Issue: 21; 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

Zylstra, A.  B., Frenje, J.  A., Grabowski, P. E., Li, C.  K., Collins, G.  W., Fitzsimmons, P., Glenzer, S., Graziani, F., Hansen, S.  B., Hu, S. X., Johnson, M. Gatu, Keiter, P., Reynolds, H., Rygg, J.  R., Séguin, F. H., and Petrasso, R. D. Measurement of charged-particle stopping in warm-dense plasma. United States: N. p., 2015. Web. doi:10.1103/PhysRevLett.114.215002.
Zylstra, A.  B., Frenje, J.  A., Grabowski, P. E., Li, C.  K., Collins, G.  W., Fitzsimmons, P., Glenzer, S., Graziani, F., Hansen, S.  B., Hu, S. X., Johnson, M. Gatu, Keiter, P., Reynolds, H., Rygg, J.  R., Séguin, F. H., & Petrasso, R. D. Measurement of charged-particle stopping in warm-dense plasma. United States. https://doi.org/10.1103/PhysRevLett.114.215002
Zylstra, A.  B., Frenje, J.  A., Grabowski, P. E., Li, C.  K., Collins, G.  W., Fitzsimmons, P., Glenzer, S., Graziani, F., Hansen, S.  B., Hu, S. X., Johnson, M. Gatu, Keiter, P., Reynolds, H., Rygg, J.  R., Séguin, F. H., and Petrasso, R. D. Wed . "Measurement of charged-particle stopping in warm-dense plasma". United States. https://doi.org/10.1103/PhysRevLett.114.215002. https://www.osti.gov/servlets/purl/1183038.
@article{osti_1183038,
title = {Measurement of charged-particle stopping in warm-dense plasma},
author = {Zylstra, A.  B. and Frenje, J.  A. and Grabowski, P. E. and Li, C.  K. and Collins, G.  W. and Fitzsimmons, P. and Glenzer, S. and Graziani, F. and Hansen, S.  B. and Hu, S. X. and Johnson, M. Gatu and Keiter, P. and Reynolds, H. and Rygg, J.  R. and Séguin, F. H. and Petrasso, R. D.},
abstractNote = {We measured the stopping of energetic protons in an isochorically-heated solid-density Be plasma with an electron temperature of ~32 eV, corresponding to moderately-coupled [(e²/a/(kBTe + EF ) ~ 0.3] and moderately-degenerate [kBTe/EF ~2] 'warm dense matter' (WDM) conditions. We present the first high-accuracy measurements of charged-particle energy loss through dense plasma, which shows an increased loss relative to cold matter, consistent with a reduced mean ionization potential. The data agree with stopping models based on an ad-hoc treatment of free and bound electrons, as well as the average-atom local-density approximation; this work is the first test of these theories in WDM plasma.},
doi = {10.1103/PhysRevLett.114.215002},
journal = {Physical Review Letters},
number = 21,
volume = 114,
place = {United States},
year = {Wed May 27 00:00:00 EDT 2015},
month = {Wed May 27 00:00:00 EDT 2015}
}

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Works referenced in this record:

Molecular dynamics calculation of the thermal conductivity and shear viscosity of the classical one-component plasma
journal, January 2000

  • Donkó, Z.; Nyı́ri, B.
  • Physics of Plasmas, Vol. 7, Issue 1
  • DOI: 10.1063/1.873824

Correlation effects on the temperature-relaxation rates in dense plasmas
journal, May 2009


Molecular dynamics simulations and generalized Lenard-Balescu calculations of electron-ion temperature equilibration in plasmas
journal, October 2012


Density functional theory calculations of continuum lowering in strongly coupled plasmas
journal, March 2014

  • Vinko, S. M.; Ciricosta, O.; Wark, J. S.
  • Nature Communications, Vol. 5, Issue 1
  • DOI: 10.1038/ncomms4533

Theoretical model of x-ray scattering as a dense matter probe
journal, February 2003


Calculations of the radiative opacity of laser-produced plasmas
journal, April 1992


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

Design and modeling of ignition targets for the National Ignition Facility
journal, June 1995

  • Haan, Steven W.; Pollaine, Stephen M.; Lindl, John D.
  • Physics of Plasmas, Vol. 2, Issue 6
  • DOI: 10.1063/1.871209

The National Ignition Facility: enabling fusion ignition for the 21st century
journal, November 2004


Fuel gain exceeding unity in an inertially confined fusion implosion
journal, February 2014

  • Hurricane, O. A.; Callahan, D. A.; Casey, D. T.
  • Nature, Vol. 506, Issue 7488
  • DOI: 10.1038/nature13008

Intense pulsed ion beams for fusion applications
journal, December 1980


Ignition and high gain with ultrapowerful lasers
journal, May 1994

  • Tabak, Max; Hammer, James; Glinsky, Michael E.
  • Physics of Plasmas, Vol. 1, Issue 5, p. 1626-1634
  • DOI: 10.1063/1.870664

Fast Ignition by Intense Laser-Accelerated Proton Beams
journal, January 2001


LX. On the decrease of velocity of swiftly moving electrified particles in passing through matter
journal, October 1915

  • Bohr, N.
  • The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, Vol. 30, Issue 178
  • DOI: 10.1080/14786441008635432

Zur Theorie des Durchgangs schneller Korpuskularstrahlen durch Materie
journal, January 1930


Zur Bremsung rasch bewegter Teilchen beim Durchgang durch Materie
journal, January 1933


The Stopping and Range of Ions in Matter
book, January 1985


Charged-particle stopping powers in inertial confinement fusion plasmas
journal, May 1993


Erratum: Charged-Particle Stopping Powers in Inertial Confinement Fusion Plasmas [Phys. Rev. Lett. 70 , 3059 (1993)]
journal, May 2015


Molecular Dynamics Simulations of Classical Stopping Power
journal, November 2013


Energy loss and straggling of ions with any velocity in dense plasmas at any temperature
journal, July 1982


Energy loss of heavy ions in a plasma target
journal, August 1990


Stopping of Heavy Ions in a Hydrogen Plasma
journal, February 1995


Energy loss of heavy ions in laser-produced plasmas
journal, April 2000


Charged-particle acceleration and energy loss in laser-produced plasmas
journal, December 2000

  • Hicks, D. G.; Li, C. K.; Séguin, F. H.
  • Physics of Plasmas, Vol. 7, Issue 12
  • DOI: 10.1063/1.1320467

Energy Loss and Charge Transfer of Argon in a Laser-Generated Carbon Plasma
journal, March 2013


Large-scale molecular dynamics simulations of dense plasmas: The Cimarron Project
journal, March 2012

  • Graziani, Frank R.; Batista, Victor S.; Benedict, Lorin X.
  • High Energy Density Physics, Vol. 8, Issue 1
  • DOI: 10.1016/j.hedp.2011.06.010

Initial performance results of the OMEGA laser system
journal, January 1997


Monoenergetic proton backlighter for measuring E and B fields and for radiographing implosions and high-energy density plasmas (invited)
journal, October 2006

  • Li, C. K.; Séguin, F. H.; Frenje, J. A.
  • Review of Scientific Instruments, Vol. 77, Issue 10
  • DOI: 10.1063/1.2228252

X-ray scattering from solid density plasmas
journal, June 2003

  • Glenzer, S. H.; Gregori, G.; Rogers, F. J.
  • Physics of Plasmas, Vol. 10, Issue 6
  • DOI: 10.1063/1.1570420

An empirical target discharging model relevant to hot-electron preheat in direct-drive implosions on OMEGA
journal, February 2013


Demonstration of Spectrally Resolved X-Ray Scattering in Dense Plasmas
journal, May 2003


Observations of Plasmons in Warm Dense Matter
journal, February 2007


X-ray Thomson scattering in high energy density plasmas
journal, December 2009


Spectrometry of charged particles from inertial-confinement-fusion plasmas
journal, February 2003

  • Séguin, F. H.; Frenje, J. A.; Li, C. K.
  • Review of Scientific Instruments, Vol. 74, Issue 2
  • DOI: 10.1063/1.1518141

Advances in compact proton spectrometers for inertial-confinement fusion and plasma nuclear science
journal, October 2012

  • Seguin, F. H.; Sinenian, N.; Rosenberg, M.
  • Review of Scientific Instruments, Vol. 83, Issue 10
  • DOI: 10.1063/1.4732065

Upgrade of the MIT Linear Electrostatic Ion Accelerator (LEIA) for nuclear diagnostics development for Omega, Z and the NIF
journal, April 2012

  • Sinenian, N.; Manuel, M. J. -E.; Zylstra, A. B.
  • Review of Scientific Instruments, Vol. 83, Issue 4
  • DOI: 10.1063/1.3703315

A finite material temperature model for ion energy deposition in ion‐driven inertial confinement fusion targets
journal, November 1981

  • Mehlhorn, Thomas A.
  • Journal of Applied Physics, Vol. 52, Issue 11
  • DOI: 10.1063/1.328602

Charged particle motion in a highly ionized plasma
journal, May 2005


Temperature determination using K α spectra from M -shell Ti ions
journal, September 2005


Stopping power of a quantum plasma — T-matrix approximation and dynamical screening
journal, November 1996


Strong collisions and response function for two-component plasmas
journal, January 2000

  • Röpke, G.; Redmer, R.; Wierling, A.
  • Physics of Plasmas, Vol. 7, Issue 1
  • DOI: 10.1063/1.873780

Fast-Projectile Stopping Power of Quantal Multicomponent Strongly Coupled Plasmas
journal, August 2008


Partial ionization in dense plasmas: Comparisons among average-atom density functional models
journal, June 2013


Lowering of the Ionization Energy for a Plasma in Thermodynamic Equilibrium
journal, January 1963


Lowering of Ionization Potentials in Plasmas
journal, April 1966

  • Stewart, John C.; Pyatt, Kedar D. , Jr.
  • The Astrophysical Journal, Vol. 144
  • DOI: 10.1086/148714

Direct Measurements of the Ionization Potential Depression in a Dense Plasma
journal, August 2012


Observations of the Effect of Ionization-Potential Depression in Hot Dense Plasma
journal, June 2013


Fast Ignition by Intense Laser-Accelerated Proton Beams
text, January 2001


Charged Particle Motion in a Highly Ionized Plasma
text, January 2005


Works referencing / citing this record:

Stopping power of an electron gas: The sum rule approach
journal, June 2019

  • Arkhipov, Yu. V.; Ashikbayeva, A. B.; Askaruly, A.
  • Contributions to Plasma Physics, Vol. 59, Issue 6
  • DOI: 10.1002/ctpp.201800171

Dipole and generalized oscillator strength derived electronic properties of an endohedral hydrogen atom embedded in a Debye-Hückel plasma
journal, September 2018

  • Martínez-Flores, C.; Cabrera-Trujillo, R.
  • Matter and Radiation at Extremes, Vol. 3, Issue 5
  • DOI: 10.1016/j.mre.2018.05.001

Analytical estimates of proton acceleration in laser-produced turbulent plasmas
journal, November 2018

  • Beyer, Konstantin A.; Reville, Brian; Bott, Archie F. A.
  • Journal of Plasma Physics, Vol. 84, Issue 6
  • DOI: 10.1017/s0022377818001149

A strong diffusive ion mode in dense ionized matter predicted by Langevin dynamics
journal, January 2017

  • Mabey, P.; Richardson, S.; White, T. G.
  • Nature Communications, Vol. 8, Issue 1
  • DOI: 10.1038/ncomms14125

Experimental discrimination of ion stopping models near the Bragg peak in highly ionized matter
journal, June 2017

  • Cayzac, W.; Frank, A.; Ortner, A.
  • Nature Communications, Vol. 8, Issue 1
  • DOI: 10.1038/ncomms15693

Experimental evidence for the enhanced and reduced stopping regimes for protons propagating through hot plasmas
journal, October 2018


Anomalous material-dependent transport of focused, laser-driven proton beams
journal, December 2018


Visualization of expanding warm dense gold and diamond heated rapidly by laser-generated ion beams
journal, September 2015

  • Bang, W.; Albright, B. J.; Bradley, P. A.
  • Scientific Reports, Vol. 5, Issue 1
  • DOI: 10.1038/srep14318

Reaction-in-flight neutrons as a test of stopping power in degenerate plasmas
journal, August 2015

  • Hayes, A. C.; Jungman, Gerard; Schulz, A. E.
  • Physics of Plasmas, Vol. 22, Issue 8
  • DOI: 10.1063/1.4928104

Pseudomagnetic field modulation of stopping power for a charged particle moving above graphene
journal, July 2018


The correlation effects on the wake field and stopping power for two ion-beam pulses moving in a background plasma
journal, September 2018

  • Zhao, Xiao-ying; Qi, Xin; Yang, Lei
  • Physics of Plasmas, Vol. 25, Issue 9
  • DOI: 10.1063/1.5048223

Energy loss of Fe ions in He plasmas at different thermodynamic states
journal, September 2018

  • Barriga-Carrasco, Manuel D.; González-Gallego, Luis; Gil, Juan Miguel
  • Physics of Plasmas, Vol. 25, Issue 9
  • DOI: 10.1063/1.5050528

Effects of Coulomb coupling on stopping power and a link to macroscopic transport
journal, August 2019

  • Bernstein, David J.; Baalrud, Scott D.; Daligault, Jérôme
  • Physics of Plasmas, Vol. 26, Issue 8
  • DOI: 10.1063/1.5095419

On alpha-particle transport in inertial fusion
journal, June 2019

  • Zylstra, A. B.; Hurricane, O. A.
  • Physics of Plasmas, Vol. 26, Issue 6
  • DOI: 10.1063/1.5101074

Modified parameterization of the Li-Petrasso charged-particle stopping power theory
journal, December 2019

  • Zylstra, A. B.; Rinderknecht, H. G.; Frenje, J. A.
  • Physics of Plasmas, Vol. 26, Issue 12
  • DOI: 10.1063/1.5114637

Exploring the crossover between high-energy-density plasma and ultracold neutral plasma physics
journal, October 2019

  • Bergeson, Scott D.; Baalrud, Scott D.; Ellison, C. Leland
  • Physics of Plasmas, Vol. 26, Issue 10
  • DOI: 10.1063/1.5119144

Modeling hydrodynamics, magnetic fields, and synthetic radiographs for high-energy-density plasma flows in shock-shear targets
journal, January 2020

  • Lu, Yingchao; Li, Shengtai; Li, Hui
  • Physics of Plasmas, Vol. 27, Issue 1
  • DOI: 10.1063/1.5126149

Dynamic high energy density plasma environments at the National Ignition Facility for nuclear science research
journal, February 2018

  • Cerjan, Ch J.; Bernstein, L.; Hopkins, L. Berzak
  • Journal of Physics G: Nuclear and Particle Physics, Vol. 45, Issue 3
  • DOI: 10.1088/1361-6471/aa8693

Dipole sum rules of a hydrogen atom in a Debye-Hückel plasma
journal, August 2019

  • Martínez-Flores, César; Cabrera-Trujillo, Remigio
  • The European Physical Journal D, Vol. 73, Issue 8
  • DOI: 10.1140/epjd/e2019-100282-5

Analytical Estimates of Proton Acceleration in Laser-produced Turbulent Plasmas
image, January 2018


Analytical Estimates of Proton Acceleration in Laser-produced Turbulent Plasmas
image, January 2018


Reaction-in-Flight Neutrons as a Test of Stopping Power in Degenerate Plasmas
text, January 2014