Interactions between AdS black hole molecules

We take a bottom-up approach to find the interaction potential between $AdS$ black hole molecules under mean-field approximation. start with equation of state dyonic holes in fixed charge ensemble and use method classical cluster expansion potential. show that Lennard-Jones (LJ) is feasible choice describe state. The LJ describes two-body interaction. There exists critical distance $r_0$ such two interacting particles repel (attract) each other for $r < r_0$ ($r > r_0$). compute value compare result obtained from Ruppeiner scalar curvature. Our analysis shows how electric (and magnetic) effects molecules.