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Phase Transition of AdS Black Holes with Non Linear Source in the Holographic Framework

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Abstract

In this work we investigate the phase transition of AdS black hole solution in the presence of a generalized Maxwell theory, namely power Maxwell invariant (PMI). This phase structure is probed by the nonlocal observables such as holographic entanglement entropy and two point correlation function. We show that the both observables exhibit a Van der Waals-like phase transition as the case of the thermal entropy. By checking the Maxwell’s equal area law for different space dimension n and nonlinearity parameter s we confirm this result.

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Notes

  1. Minimal surface which goes to 𝜃=𝜃 0 on the boundary is given by \( r_{AdS}{(\theta )} = L\left (\left (\frac {\cos {\theta }}{\cos {\theta _{0}}}\right )^{2}-1\right )^{-1/2}\).

  2. The conformal invariant case for n=3, which coincides with the standard RN-AdS solution ( s=1) was the subject of detailed study in [14].

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Acknowledgments

It is a pleasure to thank Phuc H. Nguyen for useful discussions and Mathematica files used to elaborate numerical calculations of this manuscript.

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Authors and Affiliations

  1. LMTI, Physics Department, Faculty of Sciences, Ibn Zohr University, Agadir, Morocco

    H. El Moumni

  2. High Energy Physics, Astrophysics Laboratory, FSSM, Cadi Ayyad University, Marrakesh, Morocco

    H. El Moumni

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Moumni, H.E. Phase Transition of AdS Black Holes with Non Linear Source in the Holographic Framework. Int J Theor Phys 56, 554–565 (2017). https://doi.org/10.1007/s10773-016-3197-2

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