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\(P\)–\(V\) criticality of AdS black hole in the Einstein–Maxwell–power-Yang–Mills gravity

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Abstract

We study the \(P\)–\(V\) critical behaivor of N-dimensional AdS black holes in Einstein–Maxwell–power-Yang–Mills gravity. Our results show the existence of the Van der Waals like small-large black hole phase transitions when taking some special values of charges of the Maxwell and Yang–Mills fields. Further to calculate the critical exponents of the black holes at the critical point, we find that they are the same as those in the Van der Waals liquid-gas system.

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Acknowledgments

This work was supported by the National Natural Science Foundation of China (NSFC) under Grant Nos. 11275099 and 11347605. and the most important among all the top priority disciplines of Zhe Jiang Province under Grant Nos. zx2012000070.

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Authors and Affiliations

  1. Department of Physics, Northwest University, Xi’an, 710069, China

    Ming Zhang & Zhan-Ying Yang

  2. Department of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai, 200240, China

    De-Cheng Zou

  3. School of Physics, Nankai University, Tianjin, 300071, China

    Wei Xu

  4. School of Physics, Huazhong University of Science and Technology, Wuhan, 430074, China

    Wei Xu

  5. Department of Physics, Yangzhou University, Yangzhou, 225009, China

    Rui-Hong Yue

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  1. Ming Zhang
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  2. Zhan-Ying Yang
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  3. De-Cheng Zou
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  4. Wei Xu
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  5. Rui-Hong Yue
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Correspondence to Ming Zhang.

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Zhang, M., Yang, ZY., Zou, DC. et al. \(P\)–\(V\) criticality of AdS black hole in the Einstein–Maxwell–power-Yang–Mills gravity. Gen Relativ Gravit 47, 14 (2015). https://doi.org/10.1007/s10714-015-1851-2

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