Canonical Entropy of Black Hole in the Generalized Uncertainty Principle |
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Authors: | Li-Chun Zhang Huai-Fan Li Ren Zhao Yue-Qin Wu |
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Institution: | (1) Department of Physics, Shanxi Datong University, Datong, 037009, People’s Republic of China |
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Abstract: | Recently, there has been much attention devoted to resolving the quantum corrections to the Bekenstein-Hawking black hole
entropy. In particular, many researchers have expressed a vested interest in the coefficient of the logarithmic term of the
black hole entropy correction term. In this paper, based on the correction to black hole thermodynamic quantity due to the
generalized uncertainty principle, we calculate the partition function by energy spectrum obtained using tunneling effect.
Furthermore we derive the black hole entropy. In the expression, we not only consider the generalized uncertainty principle
but also consider the departure of black hole radiation spectrum from pure thermal spectrum. According to criterion law of
thermodynamic systems phase transition, we discuss the phase transition of AdS black hole and derive that the phase transition
of AdS black hole is a secondary one. |
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Keywords: | Generalized uncertainty principle Tunneling effect Area theorem Phase transition |
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