Perfect Fluid Dark Matter Influence on Thermodynamics and Phase Transition for a Reissner-Nordstrom-Anti-de Sitter Black Hole

Xu, Zhaoyi  (Yunnan Observatories, Chinese Academy of Sciences, 396 Yangfangwang, Guandu District, Kunming, 650216, China) (University of Chinese Academy of Sciences, Beijing, 100049, China) (Key Laboratory for the Structure and Evolution of Celestial Objects, Chinese Academy of Sciences, 396 Yangfangwang, Guandu District, Kunming, 650216, China) (Center for Astronomical Mega-Science, Chinese Academy of Sciences, 20A Datun Road, Chaoyang District, Beijing, 100012, China) ; Hou, Xian  (Yunnan Observatories, Chinese Academy of Sciences, 396 Yangfangwang, Guandu District, Kunming, 650216, China) (Key Laboratory for the Structure and Evolution of Celestial Objects, Chinese Academy of Sciences, 396 Yangfangwang, Guandu District, Kunming, 650216, China) (Center for Astronomical Mega-Science, Chinese Academy of Sciences, 20A Datun Road, Chaoyang District, Beijing, 100012, China) ; Liao, Yi  (Department of Physics, National University of Defense Technology, Changsha, 410073, China) (Interdisciplinary Center for Quantum Information, National University of Defense Technology, Changsha, 410073, China) ; Wang, Jiancheng (Yunnan Observatories, Chinese Academy of Sciences, 396 Yangfangwang, Guandu District, Kunming, 650216, China) (University of Chinese Academy of Sciences, Beijing, 100049, China) (Key Laboratory for the Structure and Evolution of Celestial Objects, Chinese Academy of Sciences, 396 Yangfangwang, Guandu District, Kunming, 650216, China) (Center for Astronomical Mega-Science, Chinese Academy of Sciences, 20A Datun Road, Chaoyang District, Beijing, 100012, China)

23 January 2019

Abstract: Based on Reissner-Nordstrom-anti-de Sitter(RN-AdS) black hole surrounded by perfect fluid dark matter, we study the thermodynamics and phase transition by extending the phase space defined by the charge square Q2 and the conjugate quantity ψ , where ψ is a function of horizon radius. The first law of thermodynamics and the equation of state are derived in the form Q2=Q2(T,ψ) . By investigating the critical behaviour of perfect fluid dark matter around Reissner-Nordstrom-anti-de Sitter black hole, we find that these thermodynamics system are similar to Van der Waals system and can be explained by mean field theory. We also explore the Ruppeiner thermodynamic geometry feature and their connection with microscopic structure. We find that in extended phase space there are existence singularity points of Ruppeiner curvature and they could explained as phase transitions.


Published in: Advances in High Energy Physics 2019 (2019) 2434390
Published by: Hindawi
DOI: 10.1155/2019/2434390
arXiv: 1610.05454v3
License: CC-BY-3.0



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