## This content will become publicly available on March 19, 2020

## A pairwise nuclear fusion algorithm for weighted particle-in-cell plasma simulations

## Abstract

In this work, a pairwise nuclear fusion algorithm for arbitrarily weighted macroparticles in a particle-in-cell simulation is described. The method is benchmarked in situations with like-particles, D(d,n) ^{3}He, unlike-particles, D(t,n) ^{4}He, thermonuclear plasmas, beam-target fusion, and for large difference in macroparticle weights. Studies of the required number of macroparticles in thermonuclear plasmas show that 100–1000 macroparticles are required to achieve repeatability of yields around 10%, likewise 10 ^{4}–10 ^{5} for 1%, depending on the fusion interaction and ion temperature.

- Authors:

- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

- Publication Date:

- Research Org.:
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA)

- OSTI Identifier:
- 1548348

- Report Number(s):
- LLNL-JRNL-756402

Journal ID: ISSN 0021-9991; 942208

- Grant/Contract Number:
- AC52-07NA27344

- Resource Type:
- Accepted Manuscript

- Journal Name:
- Journal of Computational Physics

- Additional Journal Information:
- Journal Volume: 388; Journal Issue: C; Journal ID: ISSN 0021-9991

- Publisher:
- Elsevier

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; 97 MATHEMATICS AND COMPUTING; Particle-in-cell; Nuclear Fusion; Monte Carlo methods; Inertial confinement fusion; Thermonuclear Fusion

### Citation Formats

```
Higginson, Drew Pitney, Link, Anthony, and Schmidt, Andrea. A pairwise nuclear fusion algorithm for weighted particle-in-cell plasma simulations. United States: N. p., 2019.
Web. doi:10.1016/j.jcp.2019.03.020.
```

```
Higginson, Drew Pitney, Link, Anthony, & Schmidt, Andrea. A pairwise nuclear fusion algorithm for weighted particle-in-cell plasma simulations. United States. doi:10.1016/j.jcp.2019.03.020.
```

```
Higginson, Drew Pitney, Link, Anthony, and Schmidt, Andrea. Tue .
"A pairwise nuclear fusion algorithm for weighted particle-in-cell plasma simulations". United States. doi:10.1016/j.jcp.2019.03.020.
```

```
@article{osti_1548348,
```

title = {A pairwise nuclear fusion algorithm for weighted particle-in-cell plasma simulations},

author = {Higginson, Drew Pitney and Link, Anthony and Schmidt, Andrea},

abstractNote = {In this work, a pairwise nuclear fusion algorithm for arbitrarily weighted macroparticles in a particle-in-cell simulation is described. The method is benchmarked in situations with like-particles, D(d,n)3He, unlike-particles, D(t,n)4He, thermonuclear plasmas, beam-target fusion, and for large difference in macroparticle weights. Studies of the required number of macroparticles in thermonuclear plasmas show that 100–1000 macroparticles are required to achieve repeatability of yields around 10%, likewise 104–105 for 1%, depending on the fusion interaction and ion temperature.},

doi = {10.1016/j.jcp.2019.03.020},

journal = {Journal of Computational Physics},

number = C,

volume = 388,

place = {United States},

year = {2019},

month = {3}

}

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Cited by: 1 work

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