# Highly charged ions in a dilute plasma: An exact asymptotic solution involving strong coupling

## Abstract

The ion sphere model introduced long ago by Salpeter is placed in a rigorous theoretical setting. The leading corrections to this model for very highly charged but dilute ions in thermal equilibrium with a weakly coupled, one-component background plasma are explicitly computed, and the subleading corrections shown to be negligibly small. This is done using the effective field theory methods advocated by Brown and Yaffe. Thus, corrections to nuclear reaction rates that such highly charged ions may undergo can be computed precisely. Moreover, their contribution to the equation of state can also be computed with precision. Such analytic results for very strong coupling are rarely available, and they can serve as benchmarks for testing computer models in this limit.

- Authors:

- Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)

- Publication Date:

- OSTI Identifier:
- 21069779

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; Journal Volume: 73; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevE.73.056406; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ASYMPTOTIC SOLUTIONS; BENCHMARKS; COMPUTERIZED SIMULATION; CORRECTIONS; EQUATIONS OF STATE; FIELD THEORIES; MULTICHARGED IONS; PLASMA; PLASMA IMPURITIES; THERMAL EQUILIBRIUM

### Citation Formats

```
Brown, Lowell S., Dooling, David C., and Preston, Dean L..
```*Highly charged ions in a dilute plasma: An exact asymptotic solution involving strong coupling*. United States: N. p., 2006.
Web. doi:10.1103/PHYSREVE.73.056406.

```
Brown, Lowell S., Dooling, David C., & Preston, Dean L..
```*Highly charged ions in a dilute plasma: An exact asymptotic solution involving strong coupling*. United States. doi:10.1103/PHYSREVE.73.056406.

```
Brown, Lowell S., Dooling, David C., and Preston, Dean L.. Mon .
"Highly charged ions in a dilute plasma: An exact asymptotic solution involving strong coupling". United States.
doi:10.1103/PHYSREVE.73.056406.
```

```
@article{osti_21069779,
```

title = {Highly charged ions in a dilute plasma: An exact asymptotic solution involving strong coupling},

author = {Brown, Lowell S. and Dooling, David C. and Preston, Dean L.},

abstractNote = {The ion sphere model introduced long ago by Salpeter is placed in a rigorous theoretical setting. The leading corrections to this model for very highly charged but dilute ions in thermal equilibrium with a weakly coupled, one-component background plasma are explicitly computed, and the subleading corrections shown to be negligibly small. This is done using the effective field theory methods advocated by Brown and Yaffe. Thus, corrections to nuclear reaction rates that such highly charged ions may undergo can be computed precisely. Moreover, their contribution to the equation of state can also be computed with precision. Such analytic results for very strong coupling are rarely available, and they can serve as benchmarks for testing computer models in this limit.},

doi = {10.1103/PHYSREVE.73.056406},

journal = {Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics},

number = 5,

volume = 73,

place = {United States},

year = {Mon May 15 00:00:00 EDT 2006},

month = {Mon May 15 00:00:00 EDT 2006}

}