Interaction Between AdS Black Hole Molecules
arXiv:2108.06135 · doi:10.1103/PhysRevD.104.126009
Abstract
We take a bottom-up approach to find the interaction potential between the black hole molecules under mean-field approximation. We start with the equation of state of dyonic black holes in fixed charge ensemble and use the method of classical cluster expansion to find the mean-field potential. We show that the Lennard-Jones (LJ) potential is a feasible choice to describe the equation of state. The LJ potential describes a two-body interaction. There exists a critical distance such that two interacting particles repel (attract) each other for (). We compute the value of for dyonic black holes and compare the result obtained from the Ruppeiner scalar curvature. Our analysis shows how the electric (and magnetic) charge effects the interaction between black hole molecules.
arXiv comment7+4 pages, 1 figure Some typos corrected, references and clarifications added
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