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On the internal energy of the classical two-dimensional one-component-plasma
3.V. E Fortov, I. T. Iakubov, and A. G. Khrapak, Physics of Strongly Coupled Plasma (Clarendon Press Oxford, 2006).
8.A. Ivlev, H. Löwen, G. Morfill, and C. P. Royall, Complex Plasmas and Colloidal Dispersions: Particle-resolved Studies of Classical Liquids and Solids (World Scientific, Singapore, 2012).
15.V. K. Gryaznov
and I. L. Iosilevskiy
, Numerical methods in fluid mechanics 4
); For english translation see e-print arXiv:0903.4913
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We describe a new semi-phenomenological approach to estimate the internal energy of the classical one-component-plasma in two dimensions. This approach reproduces the Debye-Hückel asymptote in the limit of weak coupling, the ion disc asymptote in the limit of strong coupling, and provides reasonable interpolation between these two limits. The present analytic results are compared with those from other approximations as well as with existing data from numerical simulations.
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