Phase Transition Dynamics of Black Holes Influenced by Kaniadakis and Barrow Statistics

Fuente: arXiv
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Autori principali: Sadeghi, Jafar, Afshar, Mohammad Ali S., Alipour, Mohammad Reza, Gashti, Saeed Noori
Natura: Preprint
Pubblicazione: 2024
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author Sadeghi, Jafar
Afshar, Mohammad Ali S.
Alipour, Mohammad Reza
Gashti, Saeed Noori
author_facet Sadeghi, Jafar
Afshar, Mohammad Ali S.
Alipour, Mohammad Reza
Gashti, Saeed Noori
contents In this study, we investigate the dynamics and frame-by-frame phase transition of the first order in black hole thermodynamics. For our analysis, we will utilize the Kramers escape rate. Our focus is on charged anti-de Sitter (AdS) black holes influenced by Kaniadakis and Barrow statistics. The selection of these black holes aims to examine the effects of entropy variation on the dynamics of phase transition and to demonstrate that the Kramers escape rate, as an efficient tool, can effectively represent the dynamic transition from a small to a large black hole within the domain of first-order phase transitions. It is noteworthy that while the transition from small to large black holes should ostensibly dominate the entire process, our results indicate that the escape rate undergoes changes as it passes through the midpoint of the phase transition, leading to a reverse escape phenomenon. The findings suggest that the dynamic phase transition in charged AdS black holes affected by entropy change bears a significant resemblance to the outcomes of models influenced by Bekenstein-Hawking entropy\cite{23}. This similarity in results could serve as an additional motivation to further explore the potential capabilities of Kaniadakis and Barrow statistics in related cosmological fields. These capabilities could enhance our understanding of other cosmological properties
format Preprint
id arxiv_https___arxiv_org_abs_2407_20779
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Phase Transition Dynamics of Black Holes Influenced by Kaniadakis and Barrow Statistics
Sadeghi, Jafar
Afshar, Mohammad Ali S.
Alipour, Mohammad Reza
Gashti, Saeed Noori
General Relativity and Quantum Cosmology
High Energy Physics - Theory
In this study, we investigate the dynamics and frame-by-frame phase transition of the first order in black hole thermodynamics. For our analysis, we will utilize the Kramers escape rate. Our focus is on charged anti-de Sitter (AdS) black holes influenced by Kaniadakis and Barrow statistics. The selection of these black holes aims to examine the effects of entropy variation on the dynamics of phase transition and to demonstrate that the Kramers escape rate, as an efficient tool, can effectively represent the dynamic transition from a small to a large black hole within the domain of first-order phase transitions. It is noteworthy that while the transition from small to large black holes should ostensibly dominate the entire process, our results indicate that the escape rate undergoes changes as it passes through the midpoint of the phase transition, leading to a reverse escape phenomenon. The findings suggest that the dynamic phase transition in charged AdS black holes affected by entropy change bears a significant resemblance to the outcomes of models influenced by Bekenstein-Hawking entropy\cite{23}. This similarity in results could serve as an additional motivation to further explore the potential capabilities of Kaniadakis and Barrow statistics in related cosmological fields. These capabilities could enhance our understanding of other cosmological properties
title Phase Transition Dynamics of Black Holes Influenced by Kaniadakis and Barrow Statistics
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2407.20779