Highly Charged Ions in a Dilute Plasma: An Exact Asymptotic Solution Involving Strong Coupling

Details Highly Charged Ions in a Dilute Plasma: An Exact Asymptotic Solution Involving Strong Coupling Highly Charged Ions in a Dilute Plasma: An Exact Asymptotic Solution Involving Strong Coupling

2006-03-29

arxiv.org/abs/physics/0603250v2

Phys.Rev.E73:056406,2006

Physics

Plasma Physics

23 pages, 2 figures. To be published in Physical Review E. Expanded discussion of the equation of state included for clarity

Scientific paper

10.1103/PhysRevE.73.056406

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 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.

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