Bridge functions and improvement on the hypernetted-chain approximation for classical one-component plasmas

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Abstract
Bridge functions, the neglected terms in the hypernetted-chain (HNC) theory of classical fluids, are extracted with high precision from Monte Carlo (MC) simulation data for classical one-component plasmas. The MC bridge functions are extended by the use of the exact short-range Widom expansion and of long-range boundary conditions arising from the compressibility sum rule. An explicit analytic expression for the bridge functions is then obtained, leading to improvement on the HNC scheme. Accuracy of the improved HNC scheme is confirmed through comparison with the MC results and by examination of the thermodynamic consistency. The extracted bridge functions are compared with those of other theoretical schemes.