Thermodynamical topology with multiple defect curves for dyonic AdS black holes

Abstract Dyonic black holes with quasitopological electromagnetism exhibit an intriguing phase diagram with two separated first-order coexistence curves. In this paper, we aim to uncover its influence on the black hole thermodynamical topology. At first, we investigate the phase transition and phase...

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Main Authors: Zi-Qing Chen, Shao-Wen Wei
Format: Article
Language:English
Published: SpringerOpen 2024-12-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-024-13620-w
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author Zi-Qing Chen
Shao-Wen Wei
author_facet Zi-Qing Chen
Shao-Wen Wei
author_sort Zi-Qing Chen
collection DOAJ
description Abstract Dyonic black holes with quasitopological electromagnetism exhibit an intriguing phase diagram with two separated first-order coexistence curves. In this paper, we aim to uncover its influence on the black hole thermodynamical topology. At first, we investigate the phase transition and phase diagram of the dyonic black holes. Comparing with previous study that there is no black hole phase transition region for a middle pressure, we find this region can narrow or disappear by fine tuning the coupling parameter. Instead, two first-order phase transitions can be observed. Importantly, we uncover that such novel phase diagram shall lead to a multiple defect curve phenomenon in black hole topology where each dyonic black hole is treated as one defect in the thermodynamical parameter space. By examining the topology, it is shown that there could be one, three, or five black hole states for given pressure and temperature. For each case, the topological number is calculated. Our results show that the topological number always takes value of $$+1$$ + 1 , keeping unchanged even when the multiple defect curves appear. Therefore, our study provides an important ingredient on understanding the black hole thermodynamical topology.
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institution Kabale University
issn 1434-6052
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publishDate 2024-12-01
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spelling doaj-art-a389ee93be9c43a6bd819a799f939c6f2025-02-02T12:39:43ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522024-12-01841211410.1140/epjc/s10052-024-13620-wThermodynamical topology with multiple defect curves for dyonic AdS black holesZi-Qing Chen0Shao-Wen Wei1Lanzhou Center for Theoretical Physics, Key Laboratory of Theoretical Physics of Gansu Province, School of Physical Science and Technology, Lanzhou UniversityInstitute of Theoretical Physics and Research Center of Gravitation, Lanzhou UniversityAbstract Dyonic black holes with quasitopological electromagnetism exhibit an intriguing phase diagram with two separated first-order coexistence curves. In this paper, we aim to uncover its influence on the black hole thermodynamical topology. At first, we investigate the phase transition and phase diagram of the dyonic black holes. Comparing with previous study that there is no black hole phase transition region for a middle pressure, we find this region can narrow or disappear by fine tuning the coupling parameter. Instead, two first-order phase transitions can be observed. Importantly, we uncover that such novel phase diagram shall lead to a multiple defect curve phenomenon in black hole topology where each dyonic black hole is treated as one defect in the thermodynamical parameter space. By examining the topology, it is shown that there could be one, three, or five black hole states for given pressure and temperature. For each case, the topological number is calculated. Our results show that the topological number always takes value of $$+1$$ + 1 , keeping unchanged even when the multiple defect curves appear. Therefore, our study provides an important ingredient on understanding the black hole thermodynamical topology.https://doi.org/10.1140/epjc/s10052-024-13620-w
spellingShingle Zi-Qing Chen
Shao-Wen Wei
Thermodynamical topology with multiple defect curves for dyonic AdS black holes
European Physical Journal C: Particles and Fields
title Thermodynamical topology with multiple defect curves for dyonic AdS black holes
title_full Thermodynamical topology with multiple defect curves for dyonic AdS black holes
title_fullStr Thermodynamical topology with multiple defect curves for dyonic AdS black holes
title_full_unstemmed Thermodynamical topology with multiple defect curves for dyonic AdS black holes
title_short Thermodynamical topology with multiple defect curves for dyonic AdS black holes
title_sort thermodynamical topology with multiple defect curves for dyonic ads black holes
url https://doi.org/10.1140/epjc/s10052-024-13620-w
work_keys_str_mv AT ziqingchen thermodynamicaltopologywithmultipledefectcurvesfordyonicadsblackholes
AT shaowenwei thermodynamicaltopologywithmultipledefectcurvesfordyonicadsblackholes