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Canonical Entropy of Black Hole in the Generalized Uncertainty Principle

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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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Authors and Affiliations

  1. Department of Physics, Shanxi Datong University, Datong, 037009, People’s Republic of China

    Li-Chun Zhang, Huai-Fan Li, Ren Zhao & Yue-Qin Wu

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  1. Li-Chun Zhang
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  2. Huai-Fan Li
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  3. Ren Zhao
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  4. Yue-Qin Wu
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Correspondence to Ren Zhao.

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Zhang, LC., Li, HF., Zhao, R. et al. Canonical Entropy of Black Hole in the Generalized Uncertainty Principle. Int J Theor Phys 47, 2021–2028 (2008). https://doi.org/10.1007/s10773-007-9646-1

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  • DOI: https://doi.org/10.1007/s10773-007-9646-1

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