A Liquid Model Analogue for Black Hole Thermodynamics

TL;DR

This paper establishes a phenomenological analogy between black hole thermodynamics and a classical 2D fluid, using exact calculations of pair-correlation and interaction potentials based on black hole properties.

Contribution

It introduces a novel liquid model that replicates key thermodynamic features of Schwarzschild black holes through exact functional relationships.

Findings

Identifies a fluid-like thermodynamic correspondence with black holes.

Calculates pair-correlation and interaction potentials exactly from black hole parameters.

Discovers a screening-like effect in the fluid model.

Abstract

We are able to characterize a 2--dimensional classical 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. We find the existence of a ``screening" like effect for the components of the liquid.