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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 | Abstract: | An 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 | Services: | Forum | Review | PDF | Favorites |
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