Thermal Fluctuations in a Hyperscaling Violation Background
Behnam Pourhassan, Mir Faizal, Sudhaker Upadhyay, and Lina Al Asfar
TL;DR
This paper investigates how quantum-induced thermal fluctuations influence the thermodynamics, stability, and critical behavior of black geometries with hyperscaling violation, revealing their impact on system stability and phase transitions.
Contribution
It introduces an analysis of thermal fluctuations derived from quantum corrections in hyperscaling violating backgrounds, focusing on stability and criticality effects.
Findings
Thermal fluctuations affect the stability of hyperscaling violation geometries.
Quantum corrections modify thermodynamic properties and phase behavior.
Stability analysis via specific heat and Hessian matrix reveals critical points.
Abstract
In this paper, we study the effect of thermal fluctuations on the thermodynamics of a black geometry with hyperscaling violation. These thermal fluctuations in the thermodynamics of this system are produced from quantum corrections of geometry describing this system. We discuss the stability of this system using specific heat and the entire Hessian matrix of the free energy. We will analyze the effects of thermal fluctuations on the stability of this system. We also analyze the effects of thermal fluctuations on the criticality of the Hyperscaling violation background.
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