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, onecomponent 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.
 Publication:

Physical Review E
 Pub Date:
 May 2006
 DOI:
 10.1103/PhysRevE.73.056406
 arXiv:
 arXiv:physics/0603250
 Bibcode:
 2006PhRvE..73e6406B
 Keywords:

 52.25.b;
 05.20.y;
 Plasma properties;
 Classical statistical mechanics;
 Physics  Plasma Physics;
 Astrophysics;
 Mathematical Physics;
 Mathematics  Mathematical Physics
 EPrint:
 23 pages, 2 figures. To be published in Physical Review E. Expanded discussion of the equation of state included for clarity