Thermodynamics and Joule-Thomson Expansion for Schwarzschild-AdS Black Holes with Cloud of Strings and Quintessential-like Fluid

TL;DR

This paper investigates the thermodynamic behavior of Schwarzschild-AdS black holes influenced by a cloud of strings and quintessence-like fluid, analyzing phase transitions, stability, and Joule-Thomson expansion in an extended phase space.

Contribution

It introduces a comprehensive thermodynamic analysis of black holes with additional matter fields, highlighting how these fields alter stability, phase structure, and expansion processes.

Findings

Matter fields significantly modify black hole thermal response.

Inversion temperature differs from Hawking temperature.

Parameters influence Joule-Thomson expansion behavior.

Abstract

In this study, we explore the thermodynamic properties of a Schwarzschild black hole (BH) embedded in an anti-de Sitter (AdS) background, which is further coupled with a cloud of strings and surrounded by a quintessence-like fluid. Beginning with the formulation of BH mass in terms of the event horizon radius, we incorporate the concept of pressure as related to the AdS curvature radius within the framework of extended phase space thermodynamics. Using this setup, we derive key thermodynamic quantities, including the Gibbs free energy and internal energy, to characterize the energetic behavior of the black hole system. To assess the stability of the black hole, we compute the specific heat capacity and analyze how it is influenced by external parameters, such as the string cloud and the quintessence-like fluid. These geometric and matter fields are shown to significantly modify the thermal response of the BH. Furthermore, we examine the inversion temperature associated with the black hole and highlight its distinction from the standard Hawking temperature, providing deeper insight into the phase structure. Additionally, we investigate the Joule-Thomson expansion process and demonstrate how the aforementioned parameters affect this thermodynamic phenomenon, showing important aspects of BH cooling and heating behavior in an extended thermodynamic context.