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Highly charged ions in a dilute plasma: An exact asymptotic solution involving strong coupling
Phys. Rev. E 73, 056406 – Published 30 May, 2006
DOI: https://doi.org/10.1103/PhysRevE.73.056406
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.
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References (8)
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- See Eq. (2.79) of Brown and Yaffe [2] and the discussion leading to that result.