Isomorph invariance and thermodynamics of repulsive dense bi-Yukawa one-component plasmas

In numerous realizations of complex plasmas, dust-dust interactions are characterized by two screening lengths and are thus better described
by a combination of Yukawa potentials. The present work investigates the static correlations and the thermodynamics of repulsive dense bi-
Yukawa fluids based on the fact that such strongly coupled systems exhibit isomorph invariance. The strong virial-potential energy correlations
are demonstrated with the aid of molecular dynamics simulations, an accurate analytical expression for the isomorph family of curves
is obtained, and an empirical expression for the fluid-solid phase-coexistence line is proposed. The isomorph-based empirically modified
hypernetted-chain approach, grounded on the ansatz of isomorph invariant bridge functions, is then extended to such systems and the
resulting structural properties show an excellent agreement with the results of computer simulations. A simple and accurate closed-form
expression is obtained for the excess internal energy of dense bi-Yukawa fluids by capitalizing on the compact parameterization offered by
the Rosenfeld-Tarazona decomposition in combination with the Rosenfeld scaling, which opens up the energy route to thermodynamics.