Onsager molecules for the Yukawa potentials: Screening potentials and the Jancovici coefficient in strongly coupled electron-screened plasmas

Jancovici derived the exact r(2) term in the expansion of the screening potential of the one-component plasma (OCP) around r = 0, which led to much improved analysis of the simulation data, but the correspondingly important term has never been calculated for electron-screened plasmas. The Onsager molecule approach provides the strong-coupling-limit result for the OCP screening potentials, features the exact Jancovici r(2) term, and gives a comprehensive physical picture of the structure of strongly coupled plasmas. It is used here to derive the Strong-coupling screening potentials of electron-screened plasmas represented by the Yukawa potentials and, in particular, the corresponding Jancovici r(2) term.