Liquid model analogue for black hole thermodynamics

Abstract

We are able to characterize a two-dimensional classical ``atomic'' fluid sharing some of the same thermodynamic state functions as the Schwarzschild black hole. This phenomenological correspondence between black holes and fluids is established by means of the model liquid's pair-correlation function and the two-body atomic interaction potential. These latter two functions are calculated exactly in terms of the black hole internal (quasilocal) energy and the isothermal compressibility. The black hole specific heat at constant area is reproduced exactly and the fluid entropy is a function of the fluid area. We also find the existence of a ``screening- like'' effect for the components of the liquid.

Identifiers

DOI

10.1103/physrevd.55.4880

Citations and references