Abstract
The consequences of choosing the adjustable hard-core diameter in the mean spherical approximation for the one-component plasma so as to achieve thermodynamic consistency between the energy and compressibility equations are investigated. Such a choice is found to be possible only for Γ>8.5 and, although the resulting correlation functions are discontinuous, the height of the main peak in the static structure factor is remarkably accurate. Two especially noteworthy aspects of the thermodynamic results are that the compressibility equation is much more accurate than in any previous approximation free of input from computer simulations and that the nonstatic part of the internal energy has a Γ1/4 dependence in the strong coupling limit in agreement with Monte Carlo data.
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MacGowan, D. The self-consistent mean spherical approximation for the one-component plasma. J Stat Phys 32, 123–139 (1983). https://doi.org/10.1007/BF01009425
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DOI: https://doi.org/10.1007/BF01009425