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Title: Effects of Coulomb coupling on stopping power and a link to macroscopic transport

Abstract

Molecular dynamics simulations are used to assess the influence of Coulomb coupling on the energy evolution of charged projectiles in the classical one-component plasma. The average projectile kinetic energy is found to decrease linearly with time when νa/ωp ≲10-2, where νa is the Coulomb collision frequency between the projectile and the medium, and xp is the plasma frequency. Stopping power is obtained from the slope of this curve. In comparison to the weakly coupled limit, strong Coulomb coupling causes the magnitude of the dimensionless stopping power, (a/kBT)dE/dx, to increase, the Bragg peak to shift to several times the plasma thermal speed, and for the stopping power curve to broaden substantially. The rate of change of the total projectile kinetic energy averaged over many independent simulations is shown to consist of two measurable components: a component associated with a one-dimensional friction force and a thermal energy exchange rate. In the limit of a slow and massive projectile, these can be related to the macroscopic transport rates of self-diffusion and temperature relaxation in the plasma. Simulation results are compared with available theoretical models for stopping power, self-diffusion, and temperature relaxation.

Authors:
 [1]; ORCiD logo [1]; ORCiD logo [2]
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  1. Univ. of Iowa, Iowa City, IA (United States)
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Univ. of Iowa, Iowa City, IA (United States)
Sponsoring Org.:
USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE Office of Science (SC), Fusion Energy Sciences (FES)
OSTI Identifier:
1565900
Alternate Identifier(s):
OSTI ID: 1556811; OSTI ID: 1777878
Report Number(s):
LA-UR-19-22415
Journal ID: ISSN 1070-664X; TRN: US2000936
Grant/Contract Number:  
89233218CNA000001; SC0016159
Resource Type:
Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 26; Journal Issue: 8; 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; Molecular dynamics; Plasma collisions; Bragg peak; Diffusion; Stopping power

Citation Formats

Bernstein, David J., Baalrud, Scott D., and Daligault, Jérôme Olivier. Effects of Coulomb coupling on stopping power and a link to macroscopic transport. United States: N. p., 2019. Web. doi:10.1063/1.5095419.
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Bernstein, David J., Baalrud, Scott D., & Daligault, Jérôme Olivier. Effects of Coulomb coupling on stopping power and a link to macroscopic transport. United States. https://doi.org/10.1063/1.5095419
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Bernstein, David J., Baalrud, Scott D., and Daligault, Jérôme Olivier. Mon . "Effects of Coulomb coupling on stopping power and a link to macroscopic transport". United States. https://doi.org/10.1063/1.5095419. https://www.osti.gov/servlets/purl/1565900.
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@article{osti_1565900,
title = {Effects of Coulomb coupling on stopping power and a link to macroscopic transport},
author = {Bernstein, David J. and Baalrud, Scott D. and Daligault, Jérôme Olivier},
abstractNote = {Molecular dynamics simulations are used to assess the influence of Coulomb coupling on the energy evolution of charged projectiles in the classical one-component plasma. The average projectile kinetic energy is found to decrease linearly with time when νa/ωp ≲10-2, where νa is the Coulomb collision frequency between the projectile and the medium, and xp is the plasma frequency. Stopping power is obtained from the slope of this curve. In comparison to the weakly coupled limit, strong Coulomb coupling causes the magnitude of the dimensionless stopping power, (a/kBT)dE/dx, to increase, the Bragg peak to shift to several times the plasma thermal speed, and for the stopping power curve to broaden substantially. The rate of change of the total projectile kinetic energy averaged over many independent simulations is shown to consist of two measurable components: a component associated with a one-dimensional friction force and a thermal energy exchange rate. In the limit of a slow and massive projectile, these can be related to the macroscopic transport rates of self-diffusion and temperature relaxation in the plasma. Simulation results are compared with available theoretical models for stopping power, self-diffusion, and temperature relaxation.},
doi = {10.1063/1.5095419},
journal = {Physics of Plasmas},
number = 8,
volume = 26,
place = {United States},
year = {2019},
month = {8}
}
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Journal Article:
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Publisher's Version of Record
https://doi.org/10.1063/1.5095419
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Cited by: 2 works
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Figures / Tables:

FIG. 1 FIG. 1: Average total kinetic energy versus time for a projectile (mr = 1000) traveling with a speed of 5vT in a background with a coupling strength of Γ = 0.1 consisting of 1.0 x 104, 2.5 x 104, 5.0 x 104, and 1.0 x 105 particles. This is themore » highest speed used for Γ = 0.1 in this work. Averages include approximately 190 individual runs, and the transparent regions about the averages represent the standard error of the mean. As the number of particles is increased, the average energies have the same trends and approximately the same slopes.« less
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Works referenced in this record:

Modified Enskog kinetic theory for strongly coupled plasmas
journal, June 2015

Liquid-State Properties of a One-Component Plasma
journal, February 2006

Stopping power of heavy ions in strongly coupled plasmas
journal, June 1995

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

Measurements of Ion Stopping Around the Bragg Peak in High-Energy-Density Plasmas
journal, November 2015

Theory of interparticle correlations in dense, high-temperature plasmas. I. General formalism
journal, September 1985

  • Ichimaru, Setsuo; Mitake, Shinichi; Tanaka, Shigenori
  • Physical Review A, Vol. 32, Issue 3
  • DOI: 10.1103/PhysRevA.32.1768

Molecular Dynamics Simulations of Classical Stopping Power
journal, November 2013

Molecular-Dynamics Simulations of Electron-Ion Temperature Relaxation in a Classical Coulomb Plasma
journal, September 2008

Effective potential theory for diffusion in binary ionic mixtures
journal, January 2017

  • Shaffer, Nathaniel R.; Baalrud, Scott D.; Daligault, Jérôme
  • Physical Review E, Vol. 95, Issue 1
  • DOI: 10.1103/PhysRevE.95.013206

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

Thermonuclear burn characteristics of compressed deuterium-tritium microspheres
journal, January 1974

Effective potential kinetic theory for strongly coupled plasmas
conference, January 2016

  • Baalrud, Scott D.; Daligault, Jérôme
  • 30TH INTERNATIONAL SYMPOSIUM ON RAREFIED GAS DYNAMICS: RGD 30, AIP Conference Proceedings
  • DOI: 10.1063/1.4967627

Meson-catalyzed fusion in ultradense plasmas
journal, November 2018

Measurement of Charged-Particle Stopping in Warm Dense Plasma
journal, May 2015

Classical and quantum-mechanical treatments of the energy loss of charged particles in dilute plasmas
journal, April 1984

Dynamic structure of strongly coupled one-component plasmas
journal, February 1991

Theory of interparticle correlations in dense, high-temperature plasmas. VIII. Shear viscosity
journal, November 1986

Effective Potential Theory for Transport Coefficients across Coupling Regimes
journal, June 2013

On Bogoliubov's kinetic equation for a spatially homogeneous plasma
journal, July 1960

Statistical mechanics of simple coulomb systems
journal, March 1980

Time-dependent stopping power and influence of an infinite magnetic field
journal, March 1998

  • Seele, Cord; Zwicknagel, Günter; Toepffer, Christian
  • Physical Review E, Vol. 57, Issue 3
  • DOI: 10.1103/PhysRevE.57.3368

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

Stopping power of dense plasmas: The collisional method and limitations of the dielectric formalism
journal, February 2018

Stopping of heavy ions in plasmas at strong coupling
journal, February 1999

Extending plasma transport theory to strong coupling through the concept of an effective interaction potential
journal, May 2014

  • Baalrud, Scott D.; Daligault, Jérôme
  • Physics of Plasmas, Vol. 21, Issue 5
  • DOI: 10.1063/1.4875282

Irreversible Processes in Ionized Gases
journal, January 1960

Comparative merits of the memory function and dynamic local-field correction of the classical one-component plasma
journal, May 2012

Statistical mechanics of dense ionized matter. III. Dynamical properties of the classical one-component plasma
journal, March 1975

Stopping power of heavy-ion beams in strongly coupled plasmas
journal, December 1993

  • Zwicknagel, G.; Toepffer, C.; Reinhard, P. -G.
  • Il Nuovo Cimento A, Vol. 106, Issue 12
  • DOI: 10.1007/BF02780588

Electronic stopping of ions in the low velocity limit
journal, May 1995

  • Dufty, James W.; Berkovsky, Mikhail
  • Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, Vol. 96, Issue 3-4
  • DOI: 10.1016/0168-583X(95)00234-0

Pair correlation functions of strongly coupled two-temperature plasma
journal, September 2017

  • Shaffer, Nathaniel R.; Tiwari, Sanat Kumar; Baalrud, Scott D.
  • Physics of Plasmas, Vol. 24, Issue 9
  • DOI: 10.1063/1.4999185

Energy loss of heavy ions in dense plasma. I. Linear and nonlinear Vlasov theory for the stopping power
journal, February 1991

Experimental Validation of Low- Z Ion-Stopping Formalisms around the Bragg Peak in High-Energy-Density Plasmas
journal, January 2019

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    Exploring the crossover between high-energy-density plasma and ultracold neutral plasma physics
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    • Physics of Plasmas, Vol. 26, Issue 10
    • DOI: 10.1063/1.5119144
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      Figures / Tables found in this record:

      FIG. 1 (p. 6)figure
      TABLE I (p. 7)table
      FIG. 2 (p. 8)figure
      FIG. 3 (p. 9)figure
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      FIG. 11 (p. 15)figure
      FIG. 12 (p. 16)figure
      FIG. 13 (p. 16)figure
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