Coulomb corrections to the equation of state for a weakly-coupled plasma
S.L. Bi 1,
M.P. Di Mauro 2 and
J. Christensen-Dalsgaard 2,3
Received 25 April 2000 / Accepted 28 September 2000
Coulomb corrections to the equation of state of degenerate matter are usually described by Debye-Hückel theory; however, recent studies have considered modifications of thermodynamic quantities which are caused by the interactions of charged particles beyond the Debye-Hückel approximation. Based on the weakly-coupled plasma limit, the formulae for the physical properties of non-ideal effects on the equation of state are derived. The treatment of the non-ideal effects due to Coulomb coupling combines the results of quantum-statistic calculations for the electrons, N-body semianalytic theory for ions, and the extended Debye-Hückel theory with hard-core correction for the electron-ion interaction. The leading Coulomb correction not only can be applied to the weak-coupling region, but also preserves the well-known Debye-Hückel limit at . We examine the Coulomb correction to the thermodynamic quantities of a weakly coupled and fully ionized plasma. The result reveals that the contribution is quite significant, and hence modifies the thermodynamic properties of the plasma substantially.
Key words: equation of state Sun: general stars: interiors
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© European Southern Observatory (ESO) 2000
Online publication: December 15, 2000