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

Bernstein, David J.; Baalrud, Scott D.; Daligault, Jérôme Olivier

doi:10.1063/1.5095419

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

Journal Article · Mon Aug 12 00:00:00 EDT 2019 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.5095419· OSTI ID:1565900

Bernstein, David J. ^[1];

^[1];

^[2]

Univ. of Iowa, Iowa City, IA (United States)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

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.

View Accepted Manuscript (DOE)

View Accepted Manuscript (Publisher)

Cite

Export

Save

Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States); Univ. of Iowa, Iowa City, IA (United States)

Sponsoring Organization:: USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE Office of Science (SC), Fusion Energy Sciences (FES)

Grant/Contract Number:: 89233218CNA000001; SC0016159; 20170073DR

OSTI ID:: 1565900

Alternate ID(s):: OSTI ID: 1556811; OSTI ID: 1777878

Report Number(s):: LA-UR-19-22415; TRN: US2000936

Journal Information:: Physics of Plasmas, Vol. 26, Issue 8; ISSN 1070-664X

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 11 works

Citation information provided by
Web of Science

References (36)

Modified Enskog kinetic theory for strongly coupled plasmas Baalrud, Scott D.; Daligault, Jérôme Physical Review E, Vol. 91, Issue 6 https://doi.org/10.1103/PhysRevE.91.063107	journal	June 2015
Liquid-State Properties of a One-Component Plasma Daligault, Jérôme Physical Review Letters, Vol. 96, Issue 6 https://doi.org/10.1103/PhysRevLett.96.065003	journal	February 2006
Stopping power of heavy ions in strongly coupled plasmas Zwicknagel, G.; Toepffer, C.; Reinhard, P. -G. Laser and Particle Beams, Vol. 13, Issue 2 https://doi.org/10.1017/S0263034600009423	journal	June 1995
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
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
Theory of interparticle correlations in dense, high-temperature plasmas. I. General formalism Ichimaru, Setsuo; Mitake, Shinichi; Tanaka, Shigenori Physical Review A, Vol. 32, Issue 3 https://doi.org/10.1103/PhysRevA.32.1768	journal	September 1985
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
Molecular-Dynamics Simulations of Electron-Ion Temperature Relaxation in a Classical Coulomb Plasma Dimonte, Guy; Daligault, Jerome Physical Review Letters, Vol. 101, Issue 13 https://doi.org/10.1103/PhysRevLett.101.135001	journal	September 2008
Effective potential theory for diffusion in binary ionic mixtures Shaffer, Nathaniel R.; Baalrud, Scott D.; Daligault, Jérôme Physical Review E, Vol. 95, Issue 1 https://doi.org/10.1103/PhysRevE.95.013206	journal	January 2017
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
Thermonuclear burn characteristics of compressed deuterium-tritium microspheres Fraley, G. S. Physics of Fluids, Vol. 17, Issue 2 https://doi.org/10.1063/1.1694739	journal	January 1974
Effective potential kinetic theory for strongly coupled plasmas Baalrud, Scott D.; Daligault, Jérôme 30TH INTERNATIONAL SYMPOSIUM ON RAREFIED GAS DYNAMICS: RGD 30, AIP Conference Proceedings https://doi.org/10.1063/1.4967627	conference	January 2016
Meson-catalyzed fusion in ultradense plasmas Deutsch, C.; Didelez, J. P.; Bendib, A. Physical Review E, Vol. 98, Issue 5 https://doi.org/10.1103/PhysRevE.98.053204	journal	November 2018
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
Classical and quantum-mechanical treatments of the energy loss of charged particles in dilute plasmas de Ferrariis, Leonardo; Arista, Néstor R. Physical Review A, Vol. 29, Issue 4 https://doi.org/10.1103/PhysRevA.29.2145	journal	April 1984
Dynamic structure of strongly coupled one-component plasmas Hong, Jongbae; Kim, Cheolkyu Physical Review A, Vol. 43, Issue 4 https://doi.org/10.1103/PhysRevA.43.1965	journal	February 1991
Theory of interparticle correlations in dense, high-temperature plasmas. VIII. Shear viscosity Tanaka, Shigenori; Ichimaru, Setsuo Physical Review A, Vol. 34, Issue 5 https://doi.org/10.1103/PhysRevA.34.4163	journal	November 1986
Effective Potential Theory for Transport Coefficients across Coupling Regimes Baalrud, Scott D.; Daligault, Jérôme Physical Review Letters, Vol. 110, Issue 23 https://doi.org/10.1103/PhysRevLett.110.235001	journal	June 2013
On Bogoliubov's kinetic equation for a spatially homogeneous plasma Lenard, Andrew Annals of Physics, Vol. 10, Issue 3 https://doi.org/10.1016/0003-4916(60)90003-8	journal	July 1960
Statistical mechanics of simple coulomb systems Baus, M. Physics Reports, Vol. 59, Issue 1 https://doi.org/10.1016/0370-1573(80)90022-8	journal	March 1980
Time-dependent stopping power and influence of an infinite magnetic field Seele, Cord; Zwicknagel, Günter; Toepffer, Christian Physical Review E, Vol. 57, Issue 3 https://doi.org/10.1103/PhysRevE.57.3368	journal	March 1998
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
Stopping power of dense plasmas: The collisional method and limitations of the dielectric formalism Clauser, C. F.; Arista, N. R. Physical Review E, Vol. 97, Issue 2 https://doi.org/10.1103/PhysRevE.97.023202	journal	February 2018
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
Extending plasma transport theory to strong coupling through the concept of an effective interaction potential Baalrud, Scott D.; Daligault, Jérôme Physics of Plasmas, Vol. 21, Issue 5 https://doi.org/10.1063/1.4875282	journal	May 2014
Irreversible Processes in Ionized Gases Balescu, R. Physics of Fluids, Vol. 3, Issue 1 https://doi.org/10.1063/1.1706002	journal	January 1960
Comparative merits of the memory function and dynamic local-field correction of the classical one-component plasma Mithen, James P.; Daligault, Jérôme; Gregori, Gianluca Physical Review E, Vol. 85, Issue 5 https://doi.org/10.1103/PhysRevE.85.056407	journal	May 2012
Statistical mechanics of dense ionized matter. III. Dynamical properties of the classical one-component plasma Hansen, J. -P.; McDonald, I. R.; Pollock, E. L. Physical Review A, Vol. 11, Issue 3 https://doi.org/10.1103/PhysRevA.11.1025	journal	March 1975
Stopping power of heavy-ion beams in strongly coupled plasmas Zwicknagel, G.; Toepffer, C.; Reinhard, P. -G. Il Nuovo Cimento A, Vol. 106, Issue 12 https://doi.org/10.1007/BF02780588	journal	December 1993
Dynamic theory of correlations in strongly coupled, classical one-component plasmas: Glass transition in the generalized viscoelastic formalism Tanaka, Shigenori; Ichimaru, Setsuo Physical Review A, Vol. 35, Issue 11 https://doi.org/10.1103/PhysRevA.35.4743	journal	June 1987
Electronic stopping of ions in the low velocity limit 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 https://doi.org/10.1016/0168-583X(95)00234-0	journal	May 1995
Pair correlation functions of strongly coupled two-temperature plasma Shaffer, Nathaniel R.; Tiwari, Sanat Kumar; Baalrud, Scott D. Physics of Plasmas, Vol. 24, Issue 9 https://doi.org/10.1063/1.4999185	journal	September 2017
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
Experimental Validation of Low- $Z$ Ion-Stopping Formalisms around the Bragg Peak in High-Energy-Density Plasmas Frenje, J. A.; Florido, R.; Mancini, R. Physical Review Letters, Vol. 122, Issue 1 https://doi.org/10.1103/PhysRevLett.122.015002	journal	January 2019
Modified Enskog Kinetic Theory for Strongly Coupled Plasmas Baalrud, Scott D.; Daligault, Jerome arXiv https://doi.org/10.48550/arxiv.1506.03112	preprint	January 2015
Effective Potential Theory for Diffusion in Binary Ionic Mixtures Shaffer, Nathaniel R.; Baalrud, Scott D.; Daligault, Jérôme arXiv https://doi.org/10.48550/arxiv.1610.07970	text	January 2016

Cited By (3)

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
Energy loss and friction characteristics of electrons at warm dense matter and non-ideal dense plasma conditions Moldabekov, Zh. A.; Dornheim, T.; Bonitz, M. arXiv https://doi.org/10.48550/arxiv.2002.06811	text	January 2020
A Generalized Boltzmann Kinetic Theory for Strongly Magnetized Plasmas with Application to Friction Jose, Louis; Baalrud, Scott D. arXiv https://doi.org/10.48550/arxiv.2008.06080	text	January 2020