Equation of state of the one-component plasma derived from precision Monte Carlo calculations

Physics

Scientific paper

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125

Equations Of State, Internal Energy, Monte Carlo Method, Plasma Diagnostics, Thermal Energy, Digital Simulation, Fluid-Solid Interactions, Phase Transformations, Thermodynamic Properties

Scientific paper

This paper presents the equation of state of the one-component plasma derived from precision Monte Carlo calculations. Using only data for N = 686, linear least-squares fits are generated and compared. The thermal energy is accurately represented by a simple power-series fit with the leading term given by Gamma exp 1/3, but it requires a small correction to the bcc Madelung term that brings that coefficient down to about the value (-0.90) derived for hypernetted-chain theory. The fluid thermal energy data are reproduced to better than 0.2 percent over all Gamma values in the fits. The location of the fluid-solid phase transition utilizing these new fits yields Gamma(bcc) = 178 and Gamma(fcc) = 192.

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