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Stars as Laboratories for Fundamental Physics - MPP Theory Group

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598 Appendix D<br />

with the m<strong>as</strong>s density in units of g cm −3 and T 8 = T/10 8 K. Recall that<br />

<strong>for</strong> a single nuclear species Y e = Z/A (atomic weight A).<br />

The pl<strong>as</strong>ma is weakly coupled <strong>for</strong> Γ ∼ < 1, it is in the liquid metal<br />

ph<strong>as</strong>e <strong>for</strong> 1 ∼ < Γ < 178, and <strong>for</strong>ms a body-centered cubic lattice <strong>for</strong><br />

Γ > 178 (Slattery, Doolen, and DeWitt 1980, 1982). Debye screening<br />

by the ions is appropriate <strong>for</strong> a weakly coupled pl<strong>as</strong>ma; otherwise the<br />

Debye approximation <strong>for</strong> the ion-ion correlations is misleading. Contours<br />

<strong>for</strong> Γ in the ρ-T -plane are shown in Fig. D.6. For the purposes<br />

of this book, a strongly coupled pl<strong>as</strong>ma occurs only in the interior of<br />

white dwarfs.<br />

Fig. D.6. Contours <strong>for</strong> the pl<strong>as</strong>ma coupling parameter Γ. Also shown are<br />

the loci of the stellar models of Fig. D.1 which had to be shifted relative<br />

to each other according to the nuclear charge Z relevant <strong>for</strong> each chemical<br />

composition.<br />

D.1.6<br />

Summary<br />

The characteristic pl<strong>as</strong>ma properties <strong>for</strong> a number of typical <strong>as</strong>trophysical<br />

sites that are important in the main body of the book are summarized<br />

in Tab. D.1.

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