Thermodynamics variables of the BTZ Black Hole with a Minimal Length and its Efficiency

TL;DR

This paper investigates the thermodynamic properties of non-rotating BTZ black holes in 2+1 dimensions using quantum models, analyzing effects of minimal length and calculating heat engine efficiency across various black hole configurations.

Contribution

It introduces a study of BTZ black hole thermodynamics incorporating minimal length effects using quantum models and evaluates holographic heat engine efficiency in different black hole scenarios.

Findings

Thermodynamic variables are computed with minimal length considerations.

Efficiency of holographic heat engines is analyzed for various black hole types.

Minimal length impacts thermodynamic behavior and efficiency calculations.

Abstract

The aim of this paper is to study the thermodynamics variables of non-rotating BTZ black hole in 2+1 dimensional using two models; one of them is the quantum hydrogen atom model, and the other is the Collapsed Shell Model. We calculate the thermodynamics variables (temperature, entropy, thermodynamics volume and heat capacity) in presence of the minimal length f. Also calculate the efficiency of holographic heat engine in absence of the minimal length for the four cases; uncharged and non-rotating, charged and non-rotating, uncharged and rotating, charged and rotating BTZ black hole respectively.