Hypernetted Chain Analyses of Dense Plasmalike Materials
Free energy formulas applicable to the electron-screened ion plasmas are derived in the hypernetted chain (HNC) approximation. The formulas, expressed in terms of the correlation functions, enable one to avoid the more cumbersome and less accurate calculations involving the thermodynamic integrations. The miscibility of iron atoms in the hydrogenic solar plasmas is treated as a specific example of application.
The density-functional formalism is applied to the analyses of the multiparticle correlations in ense plasmas, leading to an exact summation of all the bridge diagrams. With the aid of a nonlocal density-functional approximation to the direct correlation function, we derive new formulas for the bridge function, which are then used for an improvement of the HNC scheme. Consequences of various approximations are numerically examined.
KeywordsMonte Carlo Solar Interior Thermodynamic Integration Direct Correlation Function Bridge Function
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