Continuous phase transition and microstructure of charged AdS black hole with quintessence

TL;DR

This paper investigates the phase transition and microstructure of charged AdS black holes with quintessence, revealing how dark energy parameters influence critical phenomena and black hole microstructure properties.

Contribution

It introduces a microstructure analysis of charged AdS black holes with quintessence using phase transition theory and binary fluid models, highlighting the role of dark energy parameters.

Findings

Phase transition depends on electric potential, not just large/small black hole states.

Latent heat relates to dark energy parameter.

Electric charge and quintessence density influence phase transition.

Abstract

Previously, the Maxwell equal-area law has been used to discuss the conditions satisfied by the phase transition of charged AdS black holes with cloud of string and quintessence, and it was concluded that black holes have phase transition similar to that of vdW system. The phase transition depends on the electric potential of the black hole and is not the one between a large black hole and a small black hole. On the basis of this result, we study the relation between the latent heat of the phase transition and the parameter of dark energy, and use the Landau continuous phase transition theory to discuss the critical phenomenon of the black hole with quintessence and give the critical exponent. By introducing the number density of the black hole molecules, some properties of the microstructure of black holes are studied in terms of a phase transition. It is found that the electric charge of the black hole and the normalization parameter related to the density of quintessence field play a key role in phase transition. By constructing the binary fluid model of the black hole molecules, we also discuss the microstructure of charged AdS black holes with a cloud of strings and quintessence.