中国物理B ›› 2016, Vol. 25 ›› Issue (12): 120401-120401.doi: 10.1088/1674-1056/25/12/120401

• GENERAL • 上一篇    下一篇

Thermodynamics and geometrothermodynamics of regular black hole with nonlinear electrodynamics

Qiao-Shan Gan(甘俏姗), Ju-Hua Chen(陈菊华), Yong-Jiu Wang(王永久)   

  1. College of Physics and Information Science, Hunan Normal University, Changsha 410081, China
  • 收稿日期:2016-06-21 修回日期:2016-08-11 出版日期:2016-12-05 发布日期:2016-12-05
  • 通讯作者: Ju-Hua Chen E-mail:jhchen@hunnu.edu.cn
  • 基金资助:

    Project supported by the National Natural Science Foundation of China (Grant No.10873004).

Thermodynamics and geometrothermodynamics of regular black hole with nonlinear electrodynamics

Qiao-Shan Gan(甘俏姗), Ju-Hua Chen(陈菊华), Yong-Jiu Wang(王永久)   

  1. College of Physics and Information Science, Hunan Normal University, Changsha 410081, China
  • Received:2016-06-21 Revised:2016-08-11 Online:2016-12-05 Published:2016-12-05
  • Contact: Ju-Hua Chen E-mail:jhchen@hunnu.edu.cn
  • Supported by:

    Project supported by the National Natural Science Foundation of China (Grant No.10873004).

摘要:

In this paper we investigate the phase transition and geometrothermodynamics of regular electrically charged black hole in nonlinear electrodynamics theory coupled to general relativity. We analyze the types of phase transition of the thermodynamic system by calculating its temperature, heat capacity, and free energy, etc. We find that there are second-order phase transitions from the heat capacity for a large value of S. In addition, employing the geometrothermodynamics, we obtain a Legendre invariance metric and find the relationship between the thermodynamical phase transition and the singularity of the curvature scalar in the regular black hole with the nonlinear electrodynamics.

关键词: thermodynamic, phase transition, geometrothermodynamics

Abstract:

In this paper we investigate the phase transition and geometrothermodynamics of regular electrically charged black hole in nonlinear electrodynamics theory coupled to general relativity. We analyze the types of phase transition of the thermodynamic system by calculating its temperature, heat capacity, and free energy, etc. We find that there are second-order phase transitions from the heat capacity for a large value of S. In addition, employing the geometrothermodynamics, we obtain a Legendre invariance metric and find the relationship between the thermodynamical phase transition and the singularity of the curvature scalar in the regular black hole with the nonlinear electrodynamics.

Key words: thermodynamic, phase transition, geometrothermodynamics

中图分类号:  (Physics of black holes)

  • 04.70.-s