中国物理B ›› 2022, Vol. 31 ›› Issue (5): 50401-050401.doi: 10.1088/1674-1056/ac3ca8

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Thermodynamic effects of Bardeen black hole surrounded by perfect fluid dark matter under general uncertainty principle

Zhenxiong Nie(聂振雄), Yun Liu(刘芸), Juhua Chen(陈菊华), and Yongjiu Wang(王永久)   

  1. Department of Physics, Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Education, and Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal University, Changsha 410081, China
  • 收稿日期:2021-10-20 修回日期:2021-11-22 出版日期:2022-05-14 发布日期:2022-04-09
  • 通讯作者: Juhua Chen,E-mail:jhchen@hunnu.edu.cn E-mail:jhchen@hunnu.edu.cn
  • 基金资助:
    This work was supported by the National Natural Science Foundation of China (Grant No.U1731107).

Thermodynamic effects of Bardeen black hole surrounded by perfect fluid dark matter under general uncertainty principle

Zhenxiong Nie(聂振雄), Yun Liu(刘芸), Juhua Chen(陈菊华), and Yongjiu Wang(王永久)   

  1. Department of Physics, Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Education, and Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal University, Changsha 410081, China
  • Received:2021-10-20 Revised:2021-11-22 Online:2022-05-14 Published:2022-04-09
  • Contact: Juhua Chen,E-mail:jhchen@hunnu.edu.cn E-mail:jhchen@hunnu.edu.cn
  • About author:2021-11-24
  • Supported by:
    This work was supported by the National Natural Science Foundation of China (Grant No.U1731107).

摘要: The thermodynamics of Bardeen black hole surrounded by perfect fluid dark matter is investigated. We calculate the analytical expresses of corresponding thermodynamic variables, e.g., the Hawking temperature, entropy of the black hole. In addition, we derive the heat capacity to analyze the thermal stability of the black hole. We also compute the rate of emission in terms of photons through tunneling. By numerical method, an obvious phase transition behavior is found. Furthermore, according to the general uncertainty principle, we study the quantum corrections to these thermodynamic quantities and obtain the quantum-corrected entropy containing the logarithmic term. Lastly, we investigate the effects of the magnetic charge g, the dark matter parameter k and the generalized uncertainty principle parameter α on the thermodynamics of Bardeen black hole surrounded by perfect fluid dark matter under general uncertainty principle.

关键词: general uncertainty principle, quantum-corrected entropy, phase transition

Abstract: The thermodynamics of Bardeen black hole surrounded by perfect fluid dark matter is investigated. We calculate the analytical expresses of corresponding thermodynamic variables, e.g., the Hawking temperature, entropy of the black hole. In addition, we derive the heat capacity to analyze the thermal stability of the black hole. We also compute the rate of emission in terms of photons through tunneling. By numerical method, an obvious phase transition behavior is found. Furthermore, according to the general uncertainty principle, we study the quantum corrections to these thermodynamic quantities and obtain the quantum-corrected entropy containing the logarithmic term. Lastly, we investigate the effects of the magnetic charge g, the dark matter parameter k and the generalized uncertainty principle parameter α on the thermodynamics of Bardeen black hole surrounded by perfect fluid dark matter under general uncertainty principle.

Key words: general uncertainty principle, quantum-corrected entropy, phase transition

中图分类号:  (Phenomenology of quantum gravity)

  • 04.60.Bc
04.70.Dy (Quantum aspects of black holes, evaporation, thermodynamics)