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28 March 2024
 
  » arxiv » 0907.2145

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An accurate equation of state for the one component plasma in the low coupling regime
Jean-Michel Caillol ; Dominique Gilles ;
Date 13 Jul 2009
AbstractAn accurate equation of state of the one component plasma is obtained in the low coupling regime $0 leq Gamma leq 1$. The accuracy results from a smooth combination of the well-known hypernetted chain integral equation, Monte Carlo simulations and asymptotic analytical expressions of the excess internal energy $u$. In particular, special attention has been brought to describe and take advantage of finite size effects on Monte Carlo results to get the thermodynamic limit of $u$. This combined approach reproduces very accurately the different plasma correlation regimes encountered in this range of values of $Gamma$. This paper extends to low $Gamma$’s an earlier Monte Carlo simulation study devoted to strongly coupled systems for $1 leq Gamma leq 190$ ({J.-M. Caillol}, {J. Chem. Phys.} extbf{111}, 6538 (1999)). Analytical fits of $u(Gamma)$ in the range $0 leq Gamma leq 1$ are provided with a precision that we claim to be not smaller than $p= 10^{-5}$. HNC equation and exact asymptotic expressions are shown to give reliable results for $u(Gamma)$ only in narrow $Gamma$ intervals, i.e. $0 leq Gamma lesssim 0.5$ and $0 leq Gamma lesssim 0.3$ respectively.
Source arXiv, 0907.2145
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