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Thermodynamic nature of black holes in coexistence region

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Studying the system state of coexistence regions will peek into to reveal microscopic interactions between different phases of a thermodynamic system.However,there is no effective method to study thermodynamic nature of the coexistence black hole regions for the failure of the equation of state.Aiming at these coexistence states,in this work,we develop a general approach by introducing two new ratio parameters.The first one is the ratio of the horizon radii of the saturated coexistence small and large black holes,and the second one measures that of the small black hole molecule number to the total molecule number.We demonstrate that the first parameter can serve as an order parameter to characterize the first-order phase transition.The study also shows that the black hole state in the coexistence region is uniquely determined by these two introduced parameters bounded between 0 and 1.These results are quite significant in the analytical study of phase transition and the microscopic nature of black hole in the coexistence regions.

classical black holephase transitionequation of statecoexistence curve

Shao-Wen Wei、Yu-Xiao Liu

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Lanzhou Center for Theoretical Physics,Key Laboratory of Theoretical Physics of Gansu Province,and Key Laboratory of Quantum Theory and Applications of MoE,Lanzhou University,Lanzhou 730000,China

Institute of Theoretical Physics & Research Center of Gravitation,Lanzhou University,Lanzhou 730000,China

National Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaMajor Science and Technology Projects of Gansu Province

120751031187515112247101

2024

10.1007/s11433-023-2335-2

中国科学:物理学 力学 天文学(英文版)
中国科学院

中国科学:物理学 力学 天文学(英文版)

CSTPCD
影响因子：0.91
ISSN：1674-7348
年,卷(期)：2024.67(5)