Thermodynamics of the Van der Waals black hole within nonextensive Kaniadiakis entropy

TL;DR

This paper investigates the thermodynamic properties of Van der Waals black holes using nonextensive Kaniadakis entropy, revealing differences from Boltzmann-Gibbs results and highlighting the influence of nonextensivity on thermodynamic stability and emission rates.

Contribution

It introduces the application of Kaniadakis entropy to Van der Waals black holes, analyzing how nonextensivity affects thermodynamic quantities and stability.

Findings

Mass and temperature differ from Boltzmann-Gibbs predictions.

Kaniadakis parameter influences Gibbs free energy and stability.

Pressure-volume behavior remains unaffected by nonextensivity.

Abstract

In this work, we have studied the thermodynamic properties of the Van der Waals black hole in the framework of the nonextensive Kaniadakis entropy. We have shown that the black hole properties, such as the mass and temperature, differ from those obtained by using the the Boltzmann-Gibbs approach. Moreover, the nonextensivity \k{appa}-parameter changes behavior of the Gibbs free energy via introduced thermodynamic instabilities, whereas the emission rate is influenced by \k{appa} only at low frequencies. Nonetheless, the pressure-volume (P(V)) characteristics are found independent of \k{appa} and the entropy form, unlike in other anti-de Sitter (AdS) black hole models. In summary, presented findings partially support previous arguments of Gohar and Salzano that under certain circumstances all entropic models are equivalent and indistinguishable [1].