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# 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 ν _{α}/ω _{p} ≲ 10 ^{–2}, where να is the Coulomb collision frequency between the projectile and the medium, and ω _{p} 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/k _{B}T*)

*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:

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

- Publication Date:

- Research Org.:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

- Sponsoring Org.:
- USDOE Laboratory Directed Research and Development (LDRD) Program

- OSTI Identifier:
- 1565900

- Alternate Identifier(s):
- OSTI ID: 1556811

- Report Number(s):
- LA-UR-19-22415

Journal ID: ISSN 1070-664X

- Grant/Contract Number:
- 89233218CNA000001

- 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

### 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.
```

```
Bernstein, David J., Baalrud, Scott D., & Daligault, Jérôme Olivier. Effects of Coulomb coupling on stopping power and a link to macroscopic transport. United States. doi:10.1063/1.5095419.
```

```
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. doi:10.1063/1.5095419.
```

```
@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 να/ωp ≲ 10–2, where να is the Coulomb collision frequency between the projectile and the medium, and ωp 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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