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arXiv · 1708.01411

On the thermodynamics of the black hole and hairy black hole transitions in the asymptotically flat spacetime with a box

Yan Peng·Bin Wang·Yunqi Liu
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Abstract

We study the asymptotically flat quasi-local black hole/hairy black hole model with nonzero mass of the scalar filed. We disclose effects of the scalar mass on transitions in a grand canonical ensemble with condensation behaviors of a parameter $ψ_{2}$, which is similar to approaches in holographic theories. We find that more negative scalar mass makes the phase transition easier to happen. We also obtain an analytical relation $ψ_{2}\varpropto(T_{c}-T)^{1/2}$ around the critical phase transition points implying a second order phase transition. Besides the parameter $ψ_{2}$, we show that metric solutions can be used to disclose properties of transitions. In this work, we observe that phase transitions in a box are strikingly similar to holographic transitions in the AdS gravity and the similarity provides insights into holographic theories.

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Yan Peng, Bin Wang, Yunqi Liu. 2018-02-28. On the thermodynamics of the black hole and hairy black hole transitions in the asymptotically flat spacetime with a box. https://doi.org/10.1140/epjc%2Fs10052-018-5652-0

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